Fatuma invested $16,500 in the 12% account and $11,500 in the 9% account.
Fatuma invests a total of $28,000 in two accounts that pay 12% and 9% annual interest, respectively. The total interest she earned after one year was $3,015.
Determine how much she invested in each account.Let us first assign variables for the two accounts. Let x be the amount of money invested in the 12% account, and y be the amount invested in the 9% account.Then we can use the following system of linear equations to represent the problem:x + y = 28000 (the total amount invested is $28,000)x(0.12) + y(0.09) = 3015 (the total interest earned is $3,015)
To solve for x and y, we can use the substitution method. Solving the first equation for x gives us:x = 28000 - ySubstituting this into the second equation, we get:(28000 - y)(0.12) + y(0.09) = 3015Simplifying, we have:3360 - 0.12y + 0.09y = 3015Collecting like terms:0.03y = 345Dividing by 0.03, we get:y = 11500This means Fatuma invested $11,500 in the 9% account.
To find how much she invested in the 12% account, we can substitute y = 11500 into either of the original equations. Using x + y = 28000:x + 11500 = 28000x = 16500Fatuma invested $16,500 in the 12% account and $11,500 in the 9% account.
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you recently sold 300 shares of apple stock to another investor, and the transfer was made through a broker. this is an example of:]
Recently selling 300 shares of Apple stock to another investor, and the transfer was made through a broker, is an example of a secondary market transaction.
What is a secondary market transaction?
Secondary market transactions refer to the buying and selling of securities in which neither the issuing company nor any of its affiliates is directly involved. The secondary market provides liquidity to investors and facilitates the trading of securities among investors.
Brokers or dealers execute secondary market transactions between buyers and sellers. If an investor decides to sell a stock, the transaction will occur in the secondary market, where an investor would make a purchase based on the price of the stock given by the seller.
As per the provided information, you recently sold 300 shares of Apple stock to another investor, and the transfer was made through a broker. This is an example of a secondary market transaction.
What is a broker?
A broker is a professional who serves as an intermediary between the buyers and sellers in the securities markets. Brokers, who work for brokerage firms, have direct connections to securities exchanges and market data providers, allowing them to assist clients in making informed investment decisions.
Brokers can also give assistance to clients in analyzing securities and performing trades in various markets.
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Recently selling 300 shares of apple stock to another investor, and the transfer was made through a broker is an example of stock trading.
Stock trading is a mechanism for buying and selling stock, and it happens in an exchange market. There are two types of stock trading: primary and secondary.
Primary trading involves trading stock directly with the issuing company, while secondary trading occurs when an investor sells shares to another investor through a broker. When stock is sold, a broker facilitates the transfer of ownership from one investor to another.
The broker may charge a commission for their services. Overall, this is a good way for investors to invest their money in the stock market, diversify their portfolio and earn a return on investment.
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when a loan is assumed whereby the lender releases the seller and substitutes the buyer as the party liable for the mortgage debt, this is known as
When a loan is assumed whereby the lender releases the seller and substitutes the buyer as the party liable for the mortgage debt, this is known as the assumption of mortgage.
What is an assumption of mortgage?Assumption of a mortgage occurs when a home buyer agrees to take over an existing mortgage that is attached to the property. The buyer accepts the obligation to repay the remaining balance on the loan.
A mortgage assumption means that the buyer of a property takes over the existing mortgage as part of the sale, and the seller is no longer responsible for the debt. This process allows a buyer to bypass the standard process of applying for a new mortgage and pay the existing mortgage instead.
The mortgage's original term and interest rate typically stay the same.An assumption of mortgage agreement is a contract between the buyer, seller, and lender, agreeing that the buyer will take over the seller's mortgage and be liable for repayment.
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what channel should you use to send a personal goodwill message? social media a phone call followed by a note on company letterhead letterhead, special note paper, or heavy card stock
The majority of the time, sending thank-you messages by email or text is appropriate.
What are the names of the message-sending methods?Sending and receiving messages are both parts of the communication process. Communication, a two-way process of exchanging information in the form of ideas, thoughts, and opinions, is necessary for two or more people to comprehend one another.
What purpose does it serve to send messages of kindness?The exchange of pleasant words is essential for both successful personal and professional relationships. Thank-you, congrats, and sympathy messages add an important, touching human touch in a world where technology that is touted as a tool to connect people is nevertheless used.
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abc co. manufactures textiles. among abc's year 1 manufacturing costs were the following salaries and wages: textile machine operators $120,000 factory supervisor $45,000 custodial staff $30,000 what was the amount of abc's year 1 direct labor?
The amount of ABC's year 1 direct labor is $165,000.
To determine the amount of ABC's year 1 direct labor, we need to consider only the salaries and wages of the textile machine operators and the factory supervisor. The reason for this is that the custodial staff is not directly involved in the manufacturing process and therefore is not considered part of the direct labor cost.
Thus, the amount of ABC's year 1 direct labor is:
Direct labor = Salaries and wages of textile machine operators + Salary and wages of factory supervisorDirect labor = $120,000 + $45,000Direct labor = $165,000Here to learn more about salaries and wages direct labor at the link
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when health care insurers negotiate contracts with health care providers or physicians to provide health care services for subscribers at a favorable cost, it is called
When healthcare insurers negotiate contracts with healthcare providers or physicians to provide healthcare services for subscribers at a favorable cost, it is called provider network contracting.
Provider network contracting is the process by which healthcare insurance companies establish partnerships with healthcare providers and physicians to provide healthcare services to their subscribers. The primary objective of provider network contracting is to provide healthcare services at a favorable cost to the subscribers, which may include paying less for the same services than they would if they were not covered by a health insurance plan. Healthcare insurers enter into contracts with healthcare providers and physicians to set prices and payment methods for services. The contracts help in protecting the interest of the subscribers by ensuring that the providers offer high-quality services at a reasonable price. It helps in making the services affordable to the subscribers who cannot afford to pay for healthcare services out of their pockets.
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suppose that nominal gdp did not change in 2011, and real gdp increased, relative to the year 2010. it can be concluded that:
It can be concluded that there was an increase in the production of goods and services in 2011 relative to the year 2010.
This is due to the fact that real GDP increased, while nominal GDP remained the same. Real GDP is an inflation-adjusted measure that reflects the value of all goods and services produced by an economy in a given year.
Nominal GDP does not take into account the effects of inflation and does not provide a reliable measure of economic growth.
The increase in real GDP in 2011 is a sign of economic growth and indicates that the production of goods and services increased relative to the year 2010.
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dr. iverson conducts research focusing on how management styles influence worker motivation. dr. iverson would most accurately be described as a(n):
Dr. Iverson conducts research focusing on how management styles influence worker motivation. Dr. Iverson would most accurately be described as a management psychologist.
What is management psychology?
Management psychology is the study of organizational psychology and its influence on human behavior in the workplace. The goal of management psychology is to improve organizational outcomes such as job satisfaction, employee engagement, and productivity. Management psychology also examines leadership and management practices and how they affect the organization's functioning.
Management psychologists research and evaluate different leadership styles, as well as how employee job satisfaction and performance are affected by different management practices. They provide guidance to companies on how to improve employee morale and job satisfaction by utilizing effective management strategies. They also provide support to managers on how to encourage and motivate their employees.
Management styles can have a significant impact on employee motivation and job satisfaction. Dr. Iverson's research focuses on examining how different management styles affect worker motivation, making him a management psychologist.
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what type of group rating do the blue cross and blue shield organizations use as a factor in developing the rates to be charged?
The Blue Cross and Blue Shield organizations use experience rating as a factor in developing the rates to be charged.
What is experience rating?Experience rating is a method of developing insurance premiums in which an employer's claims history is compared to that of other businesses of similar size and type.
Experience rating's aim is to motivate employers to minimize injury, disability, and illness losses. To this end, companies that are more successful in managing their claims receive a reduced insurance premium, while those that are less successful pay a higher premium.
Experience rating helps businesses in two ways.
First, by rewarding businesses that have low claim rates with reduced insurance premiums, it provides a financial incentive to be more attentive to safety and to prevent accidents. Second, it assists employers in forecasting and planning for the cost of insurance and for the possibility of future accidents.The goal of experience rating is to create a more equitable allocation of insurance premiums across all companies in a certain sector.Experience rating is used for both workers' compensation insurance and health insurance by many businesses.
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risks of not knowing in advance how much labor time will be needed throughout the budget period includes
The risks of not knowing in advance how much labor time will be needed throughout the budget period are significant for organizations. These risks can include:
1)Cost overruns: If labor costs exceed the budgeted amount, the organization may need to find additional funds to cover the difference. This can impact the organization's financial stability and may result in the need to cut back on other areas of the budget.
2)Reduced productivity: If labor time is not properly estimated, employees may be overworked or underutilized. This can lead to reduced productivity, increased turnover, and decreased morale.
3)Missed deadlines: If labor time is not properly estimated, projects may take longer than anticipated to complete. This can result in missed deadlines and lost opportunities for the organization.
4)Inaccurate forecasting: If labor time is not properly estimated, it can be difficult to accurately forecast future labor needs. This can impact the organization's ability to plan for future growth or to make strategic decisions.
5)Inefficient resource allocation: If labor time is not properly estimated, resources may be allocated inefficiently. This can result in wasted time and money, as well as missed opportunities to leverage resources more effectively.
Overall, not knowing in advance how much labor time will be needed throughout the budget period can have significant implications for an organization. It is important for organizations to carefully estimate labor needs and to monitor and adjust these estimates throughout the budget period in order to minimize risks and ensure successful outcomes.
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how does the central bank use monetary policy to achieve their goals in addressing issues of unemployment and inflation?
The central bank uses monetary policy to achieve their goals in addressing issues of unemployment and inflation.
Monetary policy is the term used to describe the actions of a central bank or other regulatory authority that determine the size and rate of growth of the money supply. Most central banks use monetary policy to stabilize the economy by regulating the money supply and adjusting interest rates.
A contractionary policy is one that involves raising interest rates, decreasing the money supply, and limiting inflation, whereas an expansionary policy is one that involves lowering interest rates, increasing the money supply, and spurring economic growth.
Unemployment can be reduced by monetary policy when the policy is expansionary, which is accomplished by lowering interest rates and increasing the money supply.
Lower interest rates encourage businesses to borrow and invest, while increased money supply makes more cash available to lend.
This extra capital is used to invest in projects that create new jobs or to maintain existing ones.
In conclusion, monetary policy is a useful tool for addressing the problems of inflation and unemployment. The central bank can use contractionary policies to reduce inflation and expansionary policies to reduce unemployment.
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inc. sold 10,970 season tickets at $1,880 each. by december 31. 2025, 16 of the 40 home games had been played. what amount should be reported as a current liability at december 31, 2025?
At December 31, 2025, Inc. should report a current liability of $17,064.
This is calculated as 10,970 season tickets multiplied by the per-ticket cost of $1,880, then multiplied by 16 (the number of home games already played out of the total 40).
To break it down step-by-step:
1. Calculate the total season ticket cost: 10,970 tickets multiplied by the cost per ticket of $1,880 = $20,543,600.
2. Multiply the total cost by the number of home games already played: $20,543,600 multiplied by 16 (the number of home games already played out of the total 40) = $17,064.
3. Report the current liability of $17,064 at December 31, 2025.
In accounting terms, this would be considered a current liability because it is an obligation that must be paid in the near future, i.e. before the end of the current accounting period.
This amount must be reported as a current liability at December 31, 2025 as it represents money owed to the ticket holders for the games they attended prior to that date.
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economists believe that a monetary policy rule that specifies a constant rate of growth of the money supply may not be the best policy when:
Economists believe that a monetary policy rule that specifies a constant rate of growth of the money supply may not be the best policy when the velocity of money fluctuates unpredictably.
Monetary policy is the process by which a country's central bank, currency board, or other monetary authority controls the supply of money in the economy, often with the objective of stabilizing interest rates and prices. Economists believe that a monetary policy rule that specifies a constant rate of growth of the money supply may not be the best policy when the velocity of money fluctuates unpredictably.
Money velocity (also referred to as the velocity of money) is the frequency with which a unit of currency is used to purchase domestically produced goods and services within a given period of time. The velocity of money is crucial in determining the amount of economic activity generated by a given money supply. It is a critical variable in determining the inflation rate, as it determines the rate at which the money supply is turned over in the economy. Therefore, if velocity is unpredictable, then growth rates are not predictable, and therefore a constant growth rate is not desirable.Therefore, the correct option is when the velocity of money fluctuates unpredictably.
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their partnership agreement calls for farmer to receive a $70,000 per year salary allowance. the remaining income or loss is to be divided equally. assuming net loss for the current year is $15,000, the journal entry to allocate the net loss is:
The journal entry to allocate the net loss of $15,000 in accordance with the partnership agreement calls for Farmer to receive a $70,000 per year salary allowance is as follows:
Debit: Loss on partnership $15,000
Credit: Farmer Salary Allowance $70,000
The debit of $15,000 represents the net loss that must be allocated in accordance with the partnership agreement. The credit of $70,000 represents the salary allowance provided to Farmer as agreed upon in the partnership agreement. The journal entry is necessary to ensure that the partnership agreement is followed and that the net loss is allocated correctly. This journal entry serves to record the allocation of the net loss in accordance with the agreement, which stipulates that the salary allowance for Farmer is $70,000 per year.
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when a coffee purveyor chooses to use fair-trade coffee beans instead of less expensive sources, its profits are often reduced. this is an example of
When a coffee purveyor chooses to use fair-trade coffee beans instead of less expensive sources, its profits are often reduced. This is an example of ethical sourcing.
The process of purchasing goods that have been produced in compliance with ethical standards is known as ethical sourcing.
Ethical sourcing typically refers to goods that have been produced with respect for workers' rights and the environment. A purveyor of coffee who opts to use fair-trade coffee beans rather than less expensive sources demonstrates ethical sourcing practices.
When a coffee purveyor chooses to use fair-trade coffee beans instead of less expensive sources, its profits are often reduced, which is an example of ethical sourcing.
By choosing to pay a fair price for their goods, purveyors who engage in ethical sourcing strive to help promote positive social and environmental outcomes in the communities where their products are produced.
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a brand decides to use email marketing as part of their digital marketing strategy. what will email marketing help this business do? select all that apply. 1 point drive sales create community analyze performance share information
Email marketing can help this business A: drive sales, C: analyze performance, and D: share information.
Drive sales: Email marketing can be used to promote products or services, highlight special deals or promotions, and encourage customers to make a purchase.Share information: Email marketing can be used to keep customers informed about the brand's latest news, events, and product updates.Analyze performance: Email marketing campaigns can be tracked and analyzed to measure their effectiveness, such as open rates, click-through rates, and conversion rates.Therefore, the correct options are: Drive sales, Share information and Analyze performance.
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g a restuarant has an anual sales of 4200000, an average inventiory of 6000 and cost of goods sold of 264000. what is the restuarants monthly inventory turns
Monthly inventory turns for a restaurant with an annual sales of 4200000, an average inventory of 6000, and a cost of goods sold of 264000 is 3.67
Inventory Turnover Ratio = Cost of Goods Sold / Average Inventory Let's first determine the monthly sales:
Monthly Sales = Annual Sales / 12= 4200000 / 12= 350000
Now, we can find the Monthly Inventory Turnover Ratio as:
Inventory Turnover Ratio = Cost of Goods Sold / Average Inventory= 264000 / 6000= 44
As the cost of goods sold and average inventory are annual figures, we need to find the monthly figures. We already have the monthly sales figures, and now we can find the monthly average inventory as:
Monthly Average Inventory = Annual Average Inventory / 12= 6000 / 12= 500Therefore, the Monthly Inventory Turnover Ratio is:
Monthly Inventory Turnover Ratio = Inventory Turnover Ratio / 12= 44 / 12= 3.67
Therefore, the restaurant's monthly inventory turns is 3.67
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if relative interest rates increase 1% what will be the approximate change in market value of bank ewuity
If the relative interest rates increase 1%, what will be the approximate change in the market value of bank equity? The market value of bank equity is inversely proportional to the interest rates. When interest rates rise, the market value of bank equity decreases, and when interest rates fall, the market value of bank equity increases.
The approximate change in market value of bank equity due to a 1% increase in relative interest rates can be calculated using the following formula: Approximate change in the market value of bank equity = -0.01 x (current market value of bank equity) The negative sign indicates that the market value of bank equity will decrease by the percentage change in the interest rates.
For example, if the current market value of bank equity is $100,000, and the relative interest rates increase by 1%, then the approximate change in market value of bank equity can be calculated as: Approximate change in the market value of bank equity = -0.01 x $100,000 = -$1,000Therefore, the market value of bank equity will decrease by approximately $1,000 due to a 1% increase in relative interest rates.
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in addition to an agenda and the previous meeting's minutes, what else might you send to participants at least two days before the meeting? a.an informational brochure about the proposed new vendor and its products. b.a copy of a news article about centurion's commitment to using american-made products. c.a list of ideas you ha
When sending information to participants two days before the meeting, you can send additional information such as A list of ideas that will help them prepare for the meeting.
One important thing to remember is that these additional items should be related to the agenda for the meeting. Some options for additional items are:
A presentation - If there will be a presentation at the meeting, you can send it to the participants beforehand so they can familiarize themselves with the content. This will help keep the meeting on track because participants will have already had a chance to review the material.
Handouts - If there are handouts or other materials that will be used during the meeting, you can send them beforehand so participants can have them readily available.
Proposals or reports - If there are proposals or reports that will be discussed during the meeting, send them to the participants in advance so they have time to review them.
A survey - If you want to get input from participants on a particular topic, send a survey beforehand so they can complete it before the meeting.
A list of ideas - If the meeting is to brainstorm ideas, it may be useful to send participants a list of ideas to help stimulate their thinking.
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kaye's kitchenware has a market/book ratio equal to 1.470. the firm's stock price is 12.00 usd/share. there are 5.92 million shares outstanding. the firm's total capital is 145 million and the firm finances with only debt and common equity. calculate the debt to capital ratio.
The debt to capital ratio for Kaye's Kitchenware is 66.7%. This indicates that debt is used to finance more than two thirds of the company's total capital.
The market/book ratio is calculated by dividing the market value per share by the book value per share. In this case, the market/book ratio for Kaye's Kitchenware is 1.470, and the stock price is $12.00 per share. Therefore, the book value per share is $12.00/1.470 = $8.16 per share.
The total market value of the company's equity is $12.00 x 5.92 million shares = $71.04 million. This means the book value of equity is $8.16 x 5.92 million shares = $48.31 million.
To calculate the debt to capital ratio, we need to add the book value of debt to the book value of equity to get the total book value of capital. We know that the total capital is $145 million and that the company finances with only debt and common equity. Therefore, the book value of debt is $145 million - $48.31 million = $96.69 million.
The debt to capital ratio is calculated as follows:
Debt to Capital Ratio = Debt / (Debt + Equity)
Debt to Capital Ratio = $96.69 million / ($96.69 million + $48.31 million)
Debt to Capital Ratio = 0.667 or 66.7%
Therefore, Kaye's Kitchenware has a debt to capital ratio of 66.7%. This means that more than two-thirds of the company's total capital is financed through debt.
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a journal entry has only two lines: a) increase in owners' equity, b) another increase in one owners' equity.
Yes, a journal entry can have two lines, one for an increase in owners' equity and another for an increase in one owner's equity.
A journal entry is a record of a financial transaction that is made in a company's accounting system. It includes an increase or decrease in an asset, liability, or owner's equity.
In this example, there are two increases to owners' equity, which is part of a company's balance sheet that represents the amount of the company owned by the shareholders.
The journal entry has only two lines:a) Increase in owner's equity
b) Another increase in one owner's equity.
What is owner's equity? Owners' equity is the amount of capital owned by the owner(s) of a company, usually computed as assets minus liabilities.
Journal entries: Journal entries are the initial records of business transactions made by a firm. Accountants record these entries in the company's journal accounts, also known as the primary bookkeeping records of a firm. These accounts are used to track and analyze the financial transactions of the company.
The two-line journal entry indicates that the same transaction occurred twice, resulting in a double increase in the owner's equity account. It's possible that two different accounts were used to record the increase in the owner's equity account. A journal entry increases the owner's equity account, which means that the company's total net worth has increased. The value of the business is calculated by subtracting the total amount of debts and other financial obligations owed by the company from the total value of the assets it owns, known as the owner's equity.
One example of a two-line journal entry could be as follows: Cash is debited for $2000 as a result of an increase in the business's cash balance. As a result of this transaction, the company's net assets increased by $2000. In a separate journal entry, the owner's equity account is credited for $2000, indicating that the company's net worth has increased by the same amount as a result of the increase in cash.
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which of the following foreign entry modes requires the highest level of investment in terms of capital and other resources and allows for a high level of control? multiple choice acquisitions franchising exporting joint ventures
A: Acquisitions require the highest level of investment in terms of capital and other resources and allow for a high level of control.
Acquisitions involve purchasing an existing foreign company or subsidiary, which allows the acquiring company to take control of the existing operations and assets. This mode of entry provides a high level of control because the acquiring company has the authority to make decisions about the operation and management of the acquired company.
However, it also requires a significant investment in terms of capital and other resources, as the acquiring company must typically pay a premium for the acquired company or subsidiary. Franchising, exporting, and joint ventures require less capital investment and typically involve a lower level of control.
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Question: Consider A System Of Banking In Which The Federal Reserve Uses Required Reserves To Control The Money Supply (As Was The Case In The United States Before 2008). Assume That Banks Do Not Hold Excess Reserves And That Households Do Not Hold Currency, So The Only Money Exists In The Form Of Demand Deposits. To Further Simplify, Assume The Banking System HasConsider a system of banking in which the Federal Reserve uses required reserves to control the money supply (as was the case in the United States before 2008). Assume that banks do not hold excess reserves and that households do not hold currency, so the only money exists in the form of demand deposits. To further simplify, assume the banking system has total reserves of $500. Determine the money multiplier as well as the money supply for each reserve requirement listed in the following table.The reserve requirement, open market operations, and the moneysupply Consider a system of banking in which the Federal Reserve uses required reserves to control the money supply (as was the case in the United States before 2008). Assume that banks do not hold excess reserves and that households do not hold currency, so the only money exists in the form of demand deposits. To further simplify, assume the banking system has total reserves of $500. Determine the money multiplier as well as the money supply for each reserve requirement listed in the following table. A lower reserve requirement is associated with a money supply. Suppose the Federal Reserve wants to increase the money supply by $200. Maintain the assumption that banks do not hold excess reserves and that households do not hold currency. If the reserve requirement is 10%, the Fed will use open-market operations to worth of U.S. government bonds. Now, suppose that, rather than immediately lending out all excess reserves, banks begin holding some excess reserves due to uncertain economic conditions. Specifically, banks increase the percentage of deposits held as reserves from10%to25%. This increase in the reserve ratio causes the money multiplier to to Under these conditions, the Fed would need to worth of U.S. government bonds in order to increase the money supply by$200. Which of the following statements help to explain why, in the real world, the Fed cannot precisely control the money supply? Check all that apply. The Fed cannot control whether and to what extent banks hold excess reserves. The Fed cannot prevent banks from lending out required reserves. The Fed cannot control the amount of money that households choose to hold as currency.
As the reserve requirement decreases, the money supply increases. As a result, a lower reserve requirement is linked with a higher money supply. To raise the money supply by $200, if the reserve requirement is 10%, the Fed will use open-market operations to buy $2,000 worth of U.S. government bonds. When banks increase the percentage of deposits held as reserves from 10% to 25%, this raises the reserve ratio and reduces the money multiplier. The Fed would need to buy $800 worth of U.S. government bonds in order to increase the money supply by $200 under these conditions.This increase in the reserve ratio causes the money multiplier to to Under these conditions, the Fed would need to worth of U.S. government bonds in order to increase the money supply by$200. Which of the following statements help to explain why, in the real world, the Fed cannot precisely control the money supply? Check all that apply. The Fed cannot control whether and to what extent banks hold excess reserves. The Fed cannot prevent banks from lending out required reserves.The following statements help to explain why the Fed cannot precisely control the money supply: The Fed cannot control whether and to what extent banks hold excess reserves, the Fed cannot prevent banks from lending out required reserves, and the Fed cannot control the amount of money that households choose to hold as currency. The Fed's ability to control the money supply is limited due to these factors. Therefore, in the real world, it cannot precisely control the money supply.
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luke has a 30-year home mortgage. he borrowed $213,000 at a rate of 3.35% (fixed). how much of his first monthly mortgage payment will go towards principal (as opposed to interest)?
The first monthly mortgage payment of $938.72 will include $714.75 in interest and the remaining portion of $223.97 will go toward the principal.
The principal borrowed by Luke is $213,000 at a rate of 3.35% (fixed).
As we know that the monthly mortgage payment of a mortgage is calculated using the formula:
Monthly Mortgage Payment = (Principal * Rate of interest) / (1 - (1 + Rate of interest)-n)
Here, n = number of monthly paymentsThe rate of interest is 3.35% or 0.0335 since it is a fixed rate mortgage.
The period of the mortgage is 30 years, so the number of monthly payments (n) will be 30 x 12 = 360
Monthly Mortgage Payment = (213000 * 0.0335) / (1 - (1 + 0.0335)-360)
Monthly Mortgage Payment = $938.72
Thus, his first monthly mortgage payment of Luke will be $938.72.
Since the mortgage payment will include both principal and interest, we need to calculate the portion of his first monthly mortgage payment that will go toward the principal.
Let us calculate the portion of his first monthly mortgage payment that will go towards the principal by subtracting the interest portion from the mortgage payment:
Interest Portion = (Principal * Rate of Interest * Period in months)Interest Portion = (213000 * 0.0335 * 1)
Interest Portion = $714.75
From the above calculation, we can say that the first monthly mortgage payment of $938.72 will include $714.75 in interest and the remaining portion of $223.97 will go toward the principal.
Hence, the principal amount of his first monthly mortgage payment that will go towards the principal is $223.97.
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briefly describe the difference between e-1, e-2, and e-3 evangelism. which one does winter say is the most powerful? which is considered the highest priority from a strategic viewpoint? why?
E-1 evangelism is sharing the gospel in your own culture. E-2 evangelism is shared in a similar culture. E-3 evangelism is shared in a completely different culture.
Culture is a term that encompasses the beliefs, customs, practices, and social behaviors of a particular group of people. It is shaped by historical, geographical, and social factors, and influences the way individuals within that group interact with each other and the wider world.
Culture can be expressed through a variety of mediums such as art, music, literature, and food. It can also be transmitted through language, religion, and education. Different cultures can have both similarities and differences, and it is important to respect and appreciate these variations. Studying other cultures can broaden one's perspective and promote cultural awareness, understanding, and acceptance.
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how many years it will take to grow your money from $3308 to $9537 if you can earn an interest of 15% compounded quarterly?
We have to find out how long it will take to increase our money from $3308 to $9537 with a 15% compounded quarterly rate of interest. Let's proceed to the solution below: Solving the given problem: At first, we will use the formula for the compounded quarterly interest: A = P(1 + r/n)^nt where A is the amount of money at the end of the period, P is the initial principal amount, r is the annual interest rate, t is the number of years, and n is the number of times the interest is compounded per year.
Since we have to find the time, we can use the above formula as:
t = [ln(A/P)]/[nln(1 + r/n)]Where ln is the natural logarithm function. Let's put the given values in the formula, Initial investment P = $3308Final amount A = $9537Interest rate r = 15% = 0.15 per quarter Number of compounding periods per year n = 4 (quarterly)Using these values, we can calculate the time t it will take to reach the final amount as: t = [ln(9537/3308)]/[4ln(1+0.15/4)]t = [1.5844]/[4(0.036)]t = 11.35 years (approx)
Therefore, it will take approximately 11.35 years to grow the money from $3308 to $9537 with a 15% compounded quarterly rate of interest.
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A seller of a good wants to know if the demand for his or her good is elastic, inelastic, or unit elastic between the prices of $5 and $10. If the seller raises the price from $5 to $10, which of the following results would allow the seller to determine the elasticity of demand for the good? Check all that apply. The resulting percentage change in profit The resulting change in revenue (in dollars) The resulting percentage change in quantity demanded The resulting percentage change in costs of production
If revenue increases as the price increases, the demand is inelastic. If revenue decreases as the price increases, the demand is elastic. If the revenue remains unchanged, the demand is unit elastic.
To determine if the demand for the good is elastic, inelastic, or unit elastic between the prices of $5 and $10, the seller should check the following results: the resulting percentage change in quantity demanded and the resulting change in revenue (in dollars).
1. Calculate the percentage change in price: ((10-5)/5) * 100 = 100%
2. Observe the resulting percentage change in quantity demanded after the price change.
3. Calculate the price elasticity of demand: (Percentage change in quantity demanded) / (Percentage change in price)
4. Check if the price elasticity of demand is greater than 1 (elastic), less than 1 (inelastic), or equal to 1 (unit elastic).
5. Observe the resulting change in revenue (in dollars) to further confirm the elasticity of demand. If revenue increases as the price increases, the demand is inelastic. If revenue decreases as the price increases, the demand is elastic. If the revenue remains unchanged, the demand is unit elastic.
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how long will it take for an investment to triple if interest is paid at 10%, compounded continuously?
The time that will be required for an investment to triple if the interest is paid at 10%, compounded continuously. In order to find out the time taken, the formula used is: A= Pert. it will take approximately 23.1 years for the investment to triple if the interest is paid at 10%, compounded continuously.
A = Pert Where, A = future value P = present value e = the mathematical constant approximated to 2.7183 r = interest rate per time t = time in years
The future value (A) of the investment is three times the original investment (P). This means that A = 3P.
The interest rate per time (r) is 10%, which is equivalent to 0.1. The formula then becomes:
3P = Pe0.1t
3 = e0.1t
Now we have to solve for t, so we’ll take the natural logarithm of both sides of the equation:
ln3 = ln(e0.1t)
ln3 = 0.1t
t = ln3 / 0.1
t = 23.1 years (rounded to the nearest tenth)
Therefore, it will take approximately 23.1 years for the investment to triple if the interest is paid at 10%, compounded continuously.
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in the last week of december, the local retail store ran an ad to announce they were selling all their holiday decor at half price. this advertisement is an example of
This advertisement is an example of a sales promotion. Sales promotions are incentives designed to attract customers and boost sales. They are typically used to stimulate immediate sales, or to increase foot traffic to stores and websites.
The advertisement by the local retail store announcing the sale of all their holiday decor at half price during the last week of December is an example of a sales promotion. A sales promotion is a marketing strategy aimed at stimulating sales or promoting a product by offering discounts, deals, or other incentives for a limited time. In this case, the store is offering a discount on its holiday decor to entice customers to make purchases during the holiday season.
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otto company purchases $200,000 face amount, 8% semi-annual bonds when the market rate is 7%. the rate used to determine interest revenue for the first 6 months on the investment is
The interest revenue rate for the first six months of the investment is 3.5%.
To determine the interest revenue rate for the first six months, the effective interest rate has to be calculated first. The effective interest rate is the actual yield of the bond that an investor will receive from buying a bond. It's the interest rate that takes into account the original cost of the bond and the additional cash flows that are received over the bond's life.
The effective interest rate formula is:
Effective Interest Rate = [tex]\[{{\left( 1+\left( \frac{Annual\,Interest}{2} \right) \right)}^{2}}-1\][/tex]
Here, the annual interest is 8%, and the market rate is 7%.
Annual Interest = 8%
Market Rate = 7%
For the first six months, the calculation will be on half of the bond's face amount.
So, the amount will be $200,000 / 2 = $100,000
Effective Interest Rate = [tex]\[{{\left( 1+\left( \frac{Annual\,Interest}{2} \right) \right)}^{2}}-1\][/tex]
= [tex]\[{{\left( 1+\left( \frac{8\%}{2} \right) \right)}^{2}}-1\][/tex]
= [tex]\[{{\left( 1.04 \right)}^{2}}-1\][/tex]
= 0.0816
The effective Interest Rate is 8.16% on the bond. Half of that for the first six months is 4.08%. So the interest revenue rate for the first six months of the investment is 3.5%.
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a perfectly competitive firm maximizes profits at a point where p mc over the range where mc is . multiple choice question. exceeds; decreasing equals; decreasing exceeds; increasing equals; increasing
A perfectly competitive firm maximizes profits at a point where price (p) equals marginal cost (MC), over the range where MC is decreasing.
In perfect competition, firms are price takers and cannot influence the market price of the product they sell. As a result, they will produce at the quantity where their marginal cost equals the market price, which also happens to be their marginal revenue.
This quantity will maximize their profits as long as their marginal cost is below the market price. If the firm's marginal cost rises above the market price, they will start to incur losses and may consider shutting down production in the short run.
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