A particle is moving along a projectile path at an initial height of 160 feet with an initial speed of 144 feet per second. this can be represented by the function h(t) = −16t2 144t 160. what is the maximum height of the particle? 128 feet 224 feet 272 feet 484 feet
Answers
A function assigns values. The maximum height of the particle is 484 ft.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function of the height of the particle is h(t) = −16t²+144t+160.
Now, to find the maximum of the function we need to differentiate the function, and then equate it with zero to find the value of t at which the height will be maximum.
[tex]h(t)=-16t^2+144t+160\\\\\dfrac{dh}{dt}=-16(2t)+144\\\\\dfrac{dh}{dt}=-32t+144[/tex]
Now, equate the function with 0, we will get,
[tex]0=-32t+144\\t = 4.5[/tex]
Further, plug in the value of t as 4.5 to get the maximum height.
[tex]h(t)=-16t^2+144t+160\\\\h(4.5)=-16(4.5^2)+144(4.5)+160\\\\h(4.5)= 484\rm\ ft[/tex]
Thus, the maximum height of the particle is 484 ft.
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Related Questions
Nancy Appleton obtained a $45,000 loan for her start-up business. The SBA guaranteed 75% of the loan. How much has the bank risked losing if Nancy's business fails?
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Based on the percentage that SBA guaranteed out of Nancy's loan, the bank stands to lose $11,250.
How much does the bank stand to lose?The bank stands to lose the amount that wasn't guaranteed by the SBA in the event that Nancy Appleton's business fails.
This amount can be found as:
= Loan amount x ( 1 - percentage guaranteed)
Solving gives:
= 45,000 x ( 1 - 75%)
= $11,250
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According to public choice economists, the federal government has expanded because
A. the federal government is efficient in its spending.
B. deficit spending has reduced the perceived cost of current government operations.
C. taxpayers pay the full cost of current government operations.
D. the public likes to pay higher taxes to finance more programs.
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Economists believe that the federal government has expanded because B. deficit spending has reduced the perceived cost of current government operations.
What do economists think of the federal expenditure?They believe that because the government can finance more expenditure with debt, they have engaged in more expenses than they can actually afford.
This means that the government no longer views the cost of government operations as high because they can engage in deficit spending.
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To perform a vertical analysis of an income statement, you would divide each line item on the statement by ______.
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A key aspect of participative leadership is ______. decreasing repetitive work creating an inclusive environment clarifying the path to the goal challenging workers to excel
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A key aspect of participative leadership is: A. decreasing repetitive work.
What is participative leadership?Participative leadership can be defined as a form of leadership and management style that involves an invitation of all of the team members to join in the decision-making processes and proferring solutions to a problem.
Basically, a fundamental characteristic and key aspect of participative leadership is that it would help to decrease repetitive work in a business organization.
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________ is a factor that helps executives decide if there is a good financial incentive for attempting a technological innovation.
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Economic viability is a factor that helps executives decide if there is a good financial incentive for attempting a technological innovation. Below is a further explanation.
What is an Economic viability?Economic viability is an economic measure of the likely success of a particular action or set of actions on a particular product. An assessment of economic viability is an evaluation of the various economic effects that may result from the implementation of a particular project.
Therefore, the answer is economic viability.
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A local coffee shop is giving out free mini-size brewed coffee to entice consumers to come in the shop and try its products. The giveaways are called ______.
Answers
Answer:
Free Sample Marketing
Explanation:
This is the answer because when you give away free products it makes people want to buy it because it taste good or is good.
If you find that income significantly varies by age regardless of job experience, you have ______. a. an interaction effect b. both a main effect and an interaction effect c. a main effect for age d. a main effect for job experience
Answers
One have a main effect for age when income significantly varies by age regardless of the extent of job experience.
What is a main effect?This means the effect of a single independent variable on the dependent variable while ignoring all other independent variables.
Hence, we have a main effect for age when income significantly varies by age regardless of the extent of job experience.
Therefore, the Option C is correct.
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Being able to drive a car is an example of a skill.
Please select the best answer from the choices provided
True Or false
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Answer:
true it is a skill to drive a car you have to learn to be able to drive
The activity that causes the service department's cost should be the basis for assigning ______ costs to operating departments.
Answers
The activity that causes the service department's cost should be the basis for assigning actual costs to operating departments.
What is cost allocation?Cost allocation refers to assigning of a cost to several cost objects such as products or departments.
It also the of process of identifying cost objects and assigning costs for financial reporting.
Hence, the activity that causes the service department's cost should be the basis for assigning actual costs to operating departments.
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Market failure describes a situation in which the market itself ______________________ in a way that balances social costs and benefits. Group of answer choices fails to allocate resources efficiently remains outside the transaction avoids externalities incurs the costs outside the production process
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When there is market failure, it means that the market itself fails to allocate resources efficiently between social costs and benefits.
What causes market failure?Market failure happens when the market does not balance its social costs and benefits efficiently.
For instance, the costs might outweigh the benefits which leads to losses and so a market failure would occur.
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After reviewing the project scope statement, the owner specifies that costs MUST stay within $400,000. This criterion is classified as
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The criterion where costs must remain at a certain level according to the owner or investments is called a Constrained criterion.
What is a constrained criterion?This is a requirement in a project scope statement that limits the costs to a certain level.
In this scenario, there is a requirement that costs should not go beyond $400,000 which means tha there is a limit to the cost in the project.
This is therefore a constrained criterion.
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According to the Reaching Beyond Our Borders box, one way German companies are remaining competitive in industrial jobs is Multiple Choice they rely solely on robotic technology and no longer use a human workforce. they implement apprenticeships to provide on-the-job education for young workers. they send all of their manufacturing work to China. they encourage students to leave school to take manufacturing jobs.
Answers
According to the information, it can be inferred that German companies are competitive because they implement apprenticeships to provide on-the-job education for young workers (option B)
What is on-the-job education?On the job education is an educational method focused on improving the production processes and operation of a company. This method is implemented to increase the quality of all the processes required in the production chain of a company.
The on job education method is generally focused on young employees because they do not have previous experience. Additionally, they are offered education so that they can grow professionally and at the same time contribute better quality to the company.
Note: This question is incomplete because the graph is missing. However I can answer it based on my general knowledge.
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What is a good place to keep financial records stored?
a. safety deposit box
b. personal computer
c. filing cabinet in your home office
d. all of the above
e. none of the above
Answers
Answer:
place in an office cabinet which can be closed
ICD-10-CM codes translate _____ of services provided from verbal and narrative descriptions to nationally accepted reporting standards.
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ICD-10-CM codes translate medical necessity of services provided from verbal and narrative descriptions to nationally accepted reporting standards.
For both academics and practitioners, the pendulum has swung over to the _______ for estimating the cost of equity capital.
Answers
For both academics and practitioners, pendulum has swung over to the capital asset pricing model for estimating the cost of equity capital.
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Therefore, this model provides a way for estimating the cost of equity capital.
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Beverly, a real estate licensee, doesn’t represent either party to a specific real estate transaction. She merely helps the parties handle the paperwork. What role is Beverly taking in this transaction?
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Beverly, a real estate licensee is taking up the role of a transactional broker by not representing either party to a specific real estate transaction.
Who is a transactional broker?A transaction broker is the one that provide third-party real estate services various buyers and sellers in exchange for a comission.
Here, transactional broker is a neutral person to parties in a real estate transaction.
Hence, Beverly, a real estate licensee is taking up the role of a transactional broker by not representing either party to a specific real estate transaction.
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Three Economic Concepts: Summary of your group discussion:
Economic Question(s) your Group Has About the Economic Sanctions against Russia:
summary of ur group discussion:
Answers
Answer:
orange: scarcity, supply and demand, costs and benefits yellow: how do sanctions affect Russia's economy?, why are there sanctions in Russia?, who's or what's the cause of the sanction? blue: Russia could have issues with veto and passing laws. They had too much stuff to watch out for and needed more resources. Wanted to be smart with their decisions. (I tried my best sorry if I messed up somewhere forgive me :-;)
Explanation:
If the ________ cost of production for two goods is different between two countries then mutually beneficial trade is possible.
Answers
If the opportunity cost of production for two goods is different between two countries then mutually beneficial trade is possible.
What is opportunity cost?Opportunity cost is an economist term for expressing cost in terms of foregone alternative.
It is the benefits of second best alternatives (when the first best is chosen) or alternative use of something, which is not decided on (the cost of not using land for farming and using it for building a house instead).
Hence, If the opportunity cost of production for two goods is different between two countries then mutually beneficial trade is possible.
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Nita is a Market Research Analyst who has a retirement plan set up through her employer. Kurt is hired as a Retail Salesperson even though he doesn't have any experience in sales. Wendy is a Purchasing Manager with a bachelor's degree and three years of experience. Tyler works 15 hours per week as a Cashier. Nita is a Market Research Analyst who has a retirement plan set up through her employer. Kurt is hired as a Retail Salesperson even though he doesn't have any experience in sales. Wendy is a Purchasing Manager with a bachelor's degree and three years of experience. Tyler works 15 hours per week as a Cashier.
Answers
Answer:
job with benefits
entry-level job
advanced job
part-time job
Explanation:
i got them right :D.
Answer:
its job with benefit entry-level job advanced job part-time job
Explanation:
i got it right
What risk does Sarah run if she chooses a long-term care policy with a short benefit period of 2 years
Answers
The risk that Sarah run if she chooses a long-term care policy with a short benefit period of 2 year is: d. Both a and c.
What is long-term care policy?Long-term care policy can be defined as the type of policy that help to cover medical expenses or medical cost for a long period of time.
Choosing a long-term care that has a short health benefit has some risk reason being that in a situation where she needs medical care beyond the stipulated two years , Sarah will have to pay for the cost of those medical care from her savings.
Inconclusion the risk that Sarah run if she chooses a long-term care policy with a short benefit period of 2 year is: d. Both a and c.
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Choose the product(s) that are most likely to be manufactured as a job, rather than as a job lot. (Check all that apply.) Multiple select question. Advertising circulars for a grocery store. Tailored wedding dress Customized home T-shirts for a local charity run
Answers
There are two types of manufacturings, Job lot and Sole Job.
The difference between two is that Job lot is suitable for those products which are homogeneous in nature.
The correct answers are:
Tailored Wedding dress and Customized home T-shirts for local charity run.
Job Lot :This is a tyupe of manufacturing which is best suited for homogeneous produucts.
If the finished goods are identical then job lots is most beneficial as its saves ciost from bulk production.
Manufactured as Single job:It is a type of manufacturing which is best suited where the output or finished goods required are customized and heterogeneous in nature.
The cost for this type of production is more that Job Lot.
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E-Tech Initiatives Limited plans to issue $550,000, 10-year, 3 percent bonds. Interest is payable annually on December 31. All of the bonds will be issued on January 1, 2019. Show how the bonds would be reported on the January 2, 2019, balance sheet if they are issued at 95. (Deductions should be indicated by a minus sign. )
E-TECH INITIATIVES LIMITED
Balance Sheet (partial)
As of January 2, 2019
Carrying Value
Answers
This is how the bonds issued by E-Tech Initiatives Limited on January 1, 2019, will be shown on its balance sheet on January 2, 2019:
E-TECH INITIATIVES LIMITED
Balance Sheet (partial)As of January 2, 2019
Long-term Liabilities:
Bonds Payable (Carrying Value)
Face value = $550,000
Discounts (27,500) $522,500
How is the carrying value of bonds payable shown on the balance sheet?The carrying value of this bond equals its par or face value ($550,000) plus any unamortized premiums or less unamortized discounts ($27,500).
Thus, the net amount between the par value and the premium or discount is called the carrying value which is reported on the balance sheet.
Data and Calculations:Face value = $550,000
Maturity period = 10 years
Interest on bonds = 3% annually
Issue value = 95
Price = $522,500 ($550,000 x 95%)
Discount = $27,500 ($550,000 x 522,500)
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Courts will not take action against a television show that critiques newly-released books for infringement of copyright because _____.
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A land grant university has upgraded its Course Management System (CMS), integrating the system throughout all of its main campus and branch campuses around the state. It has purchased a set of 15 servers and peripherals for needs associated with the CMS. The total cost basis is $120,000 and expected use will be 5 years, after which it will have no projected value. Calculate the depreciation deduction and book value for each year
Answers
The depreciation deduction and the book value each year using the straight line method is
Year Depreciation deduction Book value
1 $24,000 $96,000
2 $24,000 $72,000
3 $24,000 $48,000
4 $24,000 $24,000
5 $24,000 0
What is the depreciation expense?Straight line depreciation expense = (Cost of asset - Salvage value) / useful life
120000 / 5 = $24,000
Depreciation expense each year would be $24,000
Book value = cost of the asset - accumulated depreciation
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If you paid $1050 for a $1000 10-year bond that pays an 11% annual interest payment, the bond's yield is
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The bond yield of the bond that cost $1050, has a face value of $1000 and an annual interest payment of 11% is 10.18%.
What is the bond yield?The bond yield is the inerest rate that would equate the cost of the bond with its face value and interest payments.
The bond yield can be determined with a financial calculator:
Cash flow in year 0 = $-1050 Cash flow each year from year 1 to 10 = $110 Cash flow in year 10 = $1000Bond yield = 10.18%
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When a recession is caused by a negative AD shock, we would expect inflation to _______________ and unemployment to _______________.
Answers
Answer:
The answer is fall and rise
Explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
day trading, and how is it different from the more traditional approach to investing?
7. How much profit (if any) wóżld Clay Sorensen make if he short-sold 300 shares of a stock at $100 a
share and the price of the stock suddenly tumbled to $70?
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Day Trading requires that position are opened and closed in one day after the purchase of securities, while traditional approach is investing in an asset that is known
Day TradingWe have higligted above about the disimilarities between Day trading and and Traditional investment.
Short-position
Number of Shares = 300
Price Entry = $100
Price Exit = $70
Profit = (Cost Price - Selling price)/Number of Shares
Profit = (300*100 - 300*70)/30
Profit = 30000-21000/30
Profit = 9000/30
Profit = $30
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Caleb was a manager at a company that produced household appliances. He had many innovative ideas to increase profits. However, his ideas were not received well by the company. So, he left the company to pursue his own business, thus creating a(n)
Answers
Answer:
He created an entrepreneurial venture
Explanation:
The development of team roles arises from the ______ of the team, the organization, and the team members themselves. Multiple choice question.
Answers
The development of team roles arises from the expectations of the team, the organization, and the team members themselves. .
What is a team?A team serves as group of people that have a particular goal and they work together to achieve the aim of the organization.
However, team roles are the responsibility of each members which is expected from individuals in the team.
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What is the best business organization for annabeth’s new company? a corporation, because she will need financing to get started a sole proprietorship, because the business is small and simple to operate a partnership, because she lacks the skills to make machine parts a cooperative, because local businesses will be her customers
Answers
The statement that best describes the business organization for Annabeth’s new company is to a corporation, because she will need financing to get started.
What is corporation?A corporation is an entity. It is usually defined as a collection of people or a company.
It has been permitted by the state to act as a single entity and is lawfully recognized as such for certain purposes.
Documents were utilised to found the first incorporated entities. The majority of governments now permit the formation of new corporations through the registration process.
The reason a Corporation would be preferable is that it would allow her to realize her long-term goals.
In the future, a corporation is more likely to expand, allowing Annabeth to realize her aspirations of selling to Europe and South America.
She does, in fact, have a better probability of doing so sooner rather than later.
Therefore, option a is correct.
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