What is the effect of the rule of 78s when a borrower repays an add-on method loan early? please help

Answers

Answer 1

The effect of the Rule of 78s when a borrower repays an add-on method loan early may result in higher interest charges and potential prepayment penalties due to the uneven allocation of interest throughout the loan term.

The Rule of 78s is a method used by some lenders to allocate interest charges in add-on method loans, particularly for consumer loans. When a borrower repays an add-on method loan early, the Rule of 78s may affect how the prepayment is handled and the amount of interest charged.

Under the add-on method, the interest is calculated upfront based on the original loan amount and term. With the Rule of 78s, the interest is allocated to the loan payments in a manner that assigns more interest to the earlier payments in the loan term. This means that during the initial period of the loan, the borrower is primarily paying off interest rather than the principal.

When a borrower repays an add-on method loan early, the Rule of 78s may result in a higher amount of interest being charged compared to a simple interest loan. As the early payments have been disproportionately allocated more interest, the borrower may have paid off less of the principal than they would have under a simple interest method. Consequently, the borrower may face a higher prepayment penalty as they have not paid as much towards the principal balance as anticipated.

To learn more about Interest :

https://brainly.com/question/25793394

#SPJ11


Related Questions

simplify (x^4+2x^3+2x^2+x)(x+1)^-1

Answers

4673 that is the answer I think

What is the x coordinate for the center of dilation? What is the y coordinate for the center of dilation?

Answers

Answer:

3

Step-by-step explanation:

help me pls

5(x+2)-12=3x+4

Answers

Answer:

x = 3

Step-by-step explanation:

5(x + 2)- 12 = 3x + 4

5x + 10 - 12 = 3x + 4

5x - 3x = 4 - 10 + 12

2x = 6

x = 3

Answer:

x=3

Step-by-step explanation:

5(x+2)-12= 3x +4

5x + 10 -12= 3x + 4

10-12= -2x + 4

6-12= -2x

-6= -2x

-6/ -2= 3

Help is due today!!
For a certain value of k, the system,
x+y=3z=10,
4x+2y+5z=7,
kx+z=3,
has no solutions. What is the value of k? (the answer is not 2,6,2/7,or 7/2)

Answers

The value of k given the system of equations is 2

Calculating the value of k

Given that

x + y + 3z = 10

4x + 2y + 5z = 7

kx + z = 3

Eliminate y in the first two equations

So, we have

2x + 2y - 6z = 20

4x + 2y + 5z = 7

kx + z = 3

Subtract the first two equations

So, we have

2x + z = -13

kx + z = 3

When it has no solution, we have

kx + z = 2x + z

Evaluate

k = 2

Hence, the value of k is 2

Read more about system of equations at

https://brainly.com/question/13729904

#SPJ1

Find the equation of line containing the origin and has a slope of 2:

Answers

We know that the line passes through the origin, which means that the coordinates of the point on the line are (0,0). We also know that the line has a slope of 2. Therefore, we can use the point-slope form of the equation of a line to find its equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line. Plugging in the values we know, we get:

y - 0 = 2(x - 0)

which simplifies to:

y = 2x

Thus, the equation of the line containing the origin and with a slope of 2 is y = 2x.

Which statement best describes the 50% rule?
A. Individuals should save and invest 50% of their income.
B. Individuals should invest 50% of their savings in retirement accounts.
C. Individuals should spend up to only 50% of their medium-term savings then build savings back up.
D. Individuals should build back 50% of the spent savings after 10 years.

Answers

The statement that best describes the 50% rule is: C. Individuals should spend up to only 50% of their medium-term savings then build savings back up.

Define the term 50% rule?

The 50% rule is a personal finance guideline that suggests individuals should spend no more than 50% of their after-tax income on necessities, such as housing, food, transportation, and utilities.

The 50% rule is a personal finance guideline that suggests individuals should spend no more than 50% of their after-tax income on necessities, such as housing, food, transportation, and utilities. The other 50% should be split between savings and discretionary spending, such as entertainment and travel.

Therefore, the statement that best describes the 50% rule is:

C. Individuals should spend up to only 50% of their medium-term savings then build savings back up.

To know more about personal finance, visit:

https://brainly.com/question/2006382

#SPJ1

new car owners were asked to evaluate their experiences in buying a new car during the past 12 months. in the survey, the owners indicated they were most satisfied with their experiences at the following three dealers (in no particular order): subaru, honda, and buick. assuming that each set of rankings is equally likely, what is the probability that owners ranked subaru third? question 5 options: 1/3 1/6 1/2 5/6 6/6

Answers

The probability that owners ranked Subaru third is 2/6, which reduces to 1/3. Therefore, the correct answer is 1/3.

To find the probability that owners ranked Subaru third, we need to find out the total number of possible rankings for

the three dealers: Subaru, Honda, and Buick.

There are three possible rankings for the first choice, two for the second choice, and one for the third choice.

Therefore, there are 3 x 2 x 1 = 6 possible rankings for the dealers.

Since each of the possible rankings is equally likely, the probability that owners ranked Subaru third is the number of

ways to rank Subaru third divided by the total number of possible rankings.

Subaru can be ranked third in two out of the six possible rankings:

Subaru, Honda, Buick Honda, Buick, Subaru

Therefore, the probability that owners ranked Subaru third is 2/6, which reduces to 1/3.

Therefore, the correct answer is 1/3.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Mrs. Kelley is teaching a 5th grade class. She is standing 6 meters in front of Gabrielle. Leslie is sitting to Gabrielle's right. If Leslie and Mrs. Kelley are 7 meters apart, how far apart are Gabrielle and Leslie? If necessary, round to the nearest tenth.

Answers

Gabrielle and Leslie are approximately 3.61 meters apart.

What is Pythagoras theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

We know that Mrs. Kelley is standing 6 meters in front of Gabrielle, and Leslie is sitting to Gabrielle's right. We are also given that Mrs. Kelley and Leslie are 7 meters apart.

From the diagram, we can see that Mrs. Kelley and Gabrielle form a right triangle with Leslie as the vertex. Using the Pythagorean theorem, we can find the distance between Gabrielle and Leslie:

[tex]d^2 = (7)^2 - (6)^2d^2 = 49 - 36d^2 = 13[/tex]

d ≈ 3.61

Therefore, Gabrielle and Leslie are approximately 3.61 meters apart.

Learn more about Pythagoras theorem, by the following link

https://brainly.com/question/231802

#SPJ1

Hue is arranging chair. She can form 6 rowsof a given lengtj with 3 chairs left over, or 8 rows of that same length if she gets 11 more chairs. Write and solve an equation to find how many chairs are in that row length.

Answers

Hue is arranging chair, She can form 6 rows of a given length with 3 chairs left over, or 8 rows of that same length if she gets 11 more chairs. There are 7 chairs in that row length.

What is row?

A row is anything that is arranged in a series, such as a sequence of figures on a worksheet or stitches on a knitting needle. A row is anything that is arranged in a straight line, such as a line of penguins at the zoo, tulips in a yard, or tuba players moving in your town's Fourth of July procession.

Suppose the number of chairs in a row is 'x' and total number of chairs are 'y'.

Given:

Hue can form 6 rows of a given length with 3 chairs left over.

From that we get

y=6x+3 ………… (1)

Or she can form 8 rows of that same length if she gets 11 more chairs.

We get

y=8x-11 …………(2)

We can put the value of y from the equation 1 in equation 2

6x+3=8x-11

Or, 2x=14

Or, x=7

X is the number of chairs present in a row length. So that is 7.

Hence there are 7 chairs in that row length

To learn more about equation from the given link

https://brainly.com/question/29538993

#SPJ1

It is known that the population standard deviation in waiting tim for L.P.G. gas cylinder in Delhi is 15 days. How large a sample should be chosen to be 95% confident, the waiting time should be 7 days of true average.​

Answers

We should choose a sample size of at least 153 to be 95% confident that the true average waiting time is within 7 days of the sample mean.

Describe Confidence Interval?

In statistics, a confidence interval is a range of values that is used to estimate an unknown population parameter with a certain degree of confidence or probability. It is a statistical measure that indicates the level of uncertainty or variation associated with a particular estimate or sample.

A confidence interval is typically expressed as a range of values, along with a level of confidence, such as 95% or 99%. This means that if the same study were to be repeated many times, the calculated confidence interval would contain the true population parameter for the given confidence level in a specified proportion of the repetitions. For example, a 95% confidence interval means that if the same study were repeated many times, the interval would contain the true population parameter 95% of the time.

We can use the formula for the margin of error of a confidence interval to solve this problem:

Margin of error = z*(sigma/√(n))

where:

z = the z-score associated with the desired level of confidence (in this case, 1.96 for 95% confidence)

sigma = the population standard deviation (15 days)

n = the sample size we want to find

We want the margin of error to be no more than 7 days, so we can set up the following inequality:

7 <= 1.96*(15/√(n))

Solving for n, we get:

n >= (1.96*15/7)²

n >= 12.36²

n >= 152.7

Therefore, we should choose a sample size of at least 153 to be 95% confident that the true average waiting time is within 7 days of the sample mean.

To know more about mean visit:

https://brainly.com/question/29708084

#SPJ1

The probability that a student passes mathematics class is 0.85, the probability that he passes history class is 0.70, and the probability that he passes mathematics and history is 0.50. Are the two events
independent of each other? (4 points)
No, they are dependent because P(M)- P(H)=P(MH)
No, they are dependent because P(M)-P(H)=P(MH)
Yes, they are independent because P(M)-P(H)=P(MH)
Yes, they are independent because P(M)-P(H) P(MH)

Answers

By answering the presented question, we may conclude that Hence, the probability answer is that they are dependant since P(M) P(H) does not hold.

What is probability?

Probability theory is an area of mathematics that determines the likelihood that an event will occur or that a proposition is true. A probability is a number between 0 and 1, where 1 represents certainty and 0 represents how likely an event is to occur. A probability is a numerical expression for the chance or likelihood that a given event will occur. Probabilities may either be stated as percentages ranging from 0% to 100% or as numbers ranging from 0 to 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all conceivable outcomes.

To see if the two occurrences are independent, we may look at whether the likelihood of one event is changed by the occurrence of the other.

Let M represent a passing mathematics class and H represent a passing history class. The probability may therefore be stated as follows:

P(M) = 0.85 P(H) = 0.70 P(M H) = 0.50 (where signifies the "and" or intersection operation)

We may use the following formula to test for independence:

If M and H are independent, then P(M H) = P(M) P(H).

When we substitute the provided probabilities, we get:

0.50 = 0.85 × 0.70

0.50 ≠ 0.595

As a result, the equation is invalid, and the events are interdependent.

Hence, the answer is that they are dependant since P(M) P(H) does not hold.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

How many different possible outcomes are there if you roll a four-sided die in the shape of a pyramid three times?

Answers

If you roll a four-sided pyramid-shaped die three times, there are 64 possible outcomes that could occur.

If you roll a four-sided pyramid-shaped die three times, there are 64 possible outcomes that could occur.

A four-sided die in the shape of a pyramid is also called a tetrahedral die, and it has four triangular faces, each with a different number on it.

When rolling this die once, there are four possible outcomes since there are four faces and each face has a different number.

When rolling the die three times, we can use the multiplication principle to find the total number of possible outcomes. According to this principle, the total number of outcomes is equal to the product of the number of outcomes for each roll.

Therefore, the total number of possible outcomes when rolling a tetrahedral die three times is:

4 x 4 x 4 = 64

A pyramid-shaped four-sided die can be rolled three times for a total of 64 potential results.

To learn more about possible outcomes, refer:-

https://brainly.com/question/27292589

#SPJ1

1. what is the value of *(p 2)? 2. what is the value of q - p? 3. is (p > q) true or false? 4. is (*p > *q) true or false?

Answers

The following is a conditional statement: If an is true, then b is true. A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.

If p, then q, or "p implies q," is the conditional of q by p, and it is symbolised by p q. If both p and q are true, then it is false; otherwise, it is true. Contrapositive: "If q then p" is the opposite of a conditional statement of the form "If p then q."

Has a truth value of true if both a and b are true.

In addition to b's truth value, an is untrue.

if an is true and b is false, and has a truth value of false.

Then, with relation to the following claims:

1. p -> q

This sentence is true because p and q are both true.

2. p -> q

This is a false assertion because p is true and q is false..

3. p->q

Regardless of the truth value of q, this assertion is true because p is false.

4. ∼p -> q

P is the inverse of p. P is false if and only if p is true. And regardless of the truth value of q, this assertion is accurate.

To know more about conditional statement

https://brainly.com/question/20564743

#SPJ4

The complete question is

What is the truth value for the following conditional statement?

1.)

p: true

q: true

p → q

2.)

p: true

q: false

p → q

3.)

p: false

q: false

p → q

4.)

p: true

q: true

∼p → q

I need help with this algebra 2. If you don’t know please don’t respond .

Answers

Required true statements are B, C, D, G, H, I, L, M.

What is factor?

In mathematics, factors refer to the numbers that can be multiplied together to obtain a given number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12.

Based on the given factors, we can conclude that:

f(x) has a factor of 3, which means that 3 is a root/solution of f(x).

f(x) has a factor of (2x-1), which means that 2x-1=0 or x=1/2 is a root/solution of f(x).

f(x) has a factor of (x+5), which means that x+5=0 or x=-5 is a root/solution of f(x).

Using these facts, we can determine which statements are true:

A) -1/2 is not a root/solution of f(x). (False)

B) We can check if this expression is equivalent to f(x) by factoring it:

6x² - 33x - 15 = 3(2x² - 11x - 5) = 3(x - 5)(2x + 1).

This shows that f(x) has factors of 3, (2x-1) and (x+5), so this statement is true.

C) -5 is a root/solution of f(x). (True)

D) 3 is a root/solution of f(x). (True)

E) We can check if this expression is equivalent to f(x) by factoring it:

2x²+9x-5 = (2x - 1)(x + 5), which is not the same as the factors given for f(x), so this statement is false.

F) 0 is not necessarily a root/solution of f(x), since the factors given do not guarantee that f(x) intersects the x-axis at 0. (False)

G) We can check if this expression is equivalent to f(x) by factoring it:

6x²+27x-15 = 3(2x²+9x-5) = 3(2x-1)(x+5), which shows that f(x) has the same factors as this expression, so this statement is true.

H) 1/2 is a root/solution of f(x). (True)

I) 5 is a root/solution of f(x). (True)

J) We can check if this expression is equivalent to f(x) by factoring it:

2x²-9x-5 = (2x + 1)(x - 5), which is not the same as the factors given for f(x), so this statement is false.

K) -3 is not necessarily a root/solution of f(x), since the factors given do not guarantee that f(x) intersects the x-axis at -3. (False)

L) To find the x-intercepts of f(x), we need to set f(x) equal to zero and solve for x:

f(x) = 3(x + 5)(2x - 1) = 0

This equation has roots of x=-5 and x=1/2, which means that the x-intercepts of f(x) are (-5, 0) and (1/2, 0). So, this statement is true.

M) To find the x-intercepts of f(x), we need to set f(x) equal to zero and solve for x:

f(x) = 3(x + 5)(2x - 1) = 0

This equation has roots of x=-5 and x=1/2, which means that the x-intercepts of f(x) are (-5, 0) and (1/2, 0).

So, this statement is true.

Learn more about factors here,

https://brainly.com/question/219464

#SPJ1

Graph the function f (x) = 1/2 x + 3

Answers

See the graphed function image below.

. Helena wants to build a plant stand like the one
shown, and she wants to find its volume. Draw
line(s) to show how she might divide the stand
into two or more sections to make finding the
volume easier.
Find the volume of each section you identified.
Then find the total volume of the stand. Explain.

Answers

Answer: First section: (x³+x²-x-1); Second section: (2x³-6x+4); Total volume: (3x³+x²-7x+3)

Step-by-step explanation:

The picture I attached was the lines I drew to make finding the volume easier.

To find the second upper side I subtracted x+1 from 2x+3, which came to x+2.

This is why I scrapped out the 2x+3 in the bottom to make it less confusing.

Now you should be able to separate the two prisms.

For the first section, multiply (x+1)(x+1)(x-1). I'll do the right two first because it's easier.

(x+1)(x²-1x+1x-1)  -1x and 1x cancel out. So now it's (x+1)(x²-1).

The volume of the first section is (x³+x²-x-1).

For the second section, multiply (x+2)(2x-2)(x-1).

The first two turn out as (2x²-2x+4x-4), which is (2x²+2x-4). Then, multiply all that by (x-1): (2x²+2x-4)(x-1).

You should get (2x³-2x²+2x²-2x-4x+4), which is then (2x³-6x+4).

So the volume of the second section is (2x³-6x+4).

Then it asks you to find the total volume, so just add the two volumes: (x³+x²-x-1) + (2x³-6x+4). Then add like-terms.

(3x³+x²-7x+3) should be the total volume.

For the explaining part (being pretty vague), just say how the volumes for both sections were added by like-terms to sum up to the total volume of the plant stand.

Hope that had helped (or at least worked) :p

The length of a rectangle is the sum of the width and 3. The area of the rectangle is 28 square units. What is the length, in units, of the rectangle?

Answers

Answer:

Length is 7 units

Step by Step explanation:

Assuming you mean the Area is 28 square units

Then

L = w + 3

A = w(w + 3)

28 = w2 + 3w

We can subtract 28 from both sides of the equation to obtain the Quadratic

w2 + 3w - 28 = 0

Factoring to give

(w + 7)(w - 4) = 0

The width cannot be -7

w = 4

L = w + 3

L = 4 + 3 = 7

The width of the rectangle is 4 units and the length of the rectangle is 7 unites.

What is the angle of elevation from the ground to the top of a 45 -foot tree from 65 feet away?

Answers

Answer: The angle elevation is 34.6 9 degree.

Step-by-step explanation:

Brainliest pls:)

suppose the weight of coal in 43 cars selected at random had an average x of less than 61.5 tons. would that fact make you suspect that the loader had slipped out of adjustment? why?

Answers

If the weight of coal in 43 cars selected at random had an average (x) of less than 61.5 tons, it might make you suspect that the loader had slipped out of adjustment.

Here's why:
Compare the average weight with the expected weight
First, you need to know the expected average weight of coal in the cars when the loader is functioning correctly. If the expected average is significantly higher than 61.5 tons, it could indicate an issue with the loader.
Assess the sample size
A sample size of 43 cars is relatively large, which gives you more confidence in the accuracy of the calculated average weight. If the sample size were smaller, it would be more likely that the result is due to random chance.
Evaluate the deviation from the expected weight
If the average weight is much lower than the expected weight, it would be more likely that the loader is out of adjustment. A small deviation could still be due to random chance or other factors, but a large deviation would suggest a potential issue with the loader.
Consider other factors
Before concluding that the loader is out of adjustment, it's essential to consider other factors that may have caused the lower average weight, such as changes in the type of coal, variations in car sizes, or even human error in weighing the coal.
Investigate further
If the deviation from the expected weight is significant and you cannot identify any other factors that might have caused the lower average weight, it would be reasonable to suspect that the loader may have slipped out of adjustment. In this case, you should conduct a thorough investigation, including inspecting the loader and checking its settings to determine if an adjustment is needed.

for more questions on average

https://brainly.com/question/6504879

#SPJ11

what is the probability that in a random sample of 17 students from this group, the average height will be between 73 and 75 inches?

Answers

In the random sample of 17 students in this group, the probability of the average height being 73-75 inches is about 0.014, or 1.4%.  

Let the heights be normally distributed with a mean of 70 inches and a standard deviation of 3 inches.

If we sample 17 students from this group, the distribution of the sample mean will also be approximately normal, with a mean of 70 inches and a standard deviation of 3/sqrt(17) inches (according to the central limit theorem).

This sample average interval can be normalized by the following formula:

z = (x - μ) / (σ / sqrt(n))

where x =sample mean,

μ = population mean,

σ= population standard deviation,

and n = sample size.

For the lower bound of 73 inches, the standardized values ​​are:

z1 = (73 - 70) / (3 / sqrt(17)) ≈ 2.25

For the upper limit of 75 inches, the standardized values ​​are:

z2 = (75 - 70) / (3 / sqrt(17)) ≈ 3.87

Find the probability that the sample mean is between these two values. This probability can be found by finding the area under the standard normal curve between z1 and z2 using a standard normal distribution table or calculator.

P(2.25 < z < 3.87) ≈ 0.014

So, in her random sample of 17 students in this group, the probability of the average height being 73-75 inches is about 0.014, or 1.4%.  

learn more about standard normal distribution

brainly.com/question/29509087

#SPJ4

some one please help me!! i don’t understand how i solve for the hemisphere to get the composite volume??

Find the volume of the following composite figure. Round to the nearest hundredth

Answers

The volume of a hemisphere is 66.9cm³

Volume of cube is 768cm³

Composite volume is 834.9cm³

Define Volume of cube

The volume of a cube is the amount of space enclosed within the boundaries of a cube. A cube is a three-dimensional object with six congruent square faces, all of which meet at right angles.  Therefore, the formula for calculating the volume of a cube is:

Volume = side length x side length x side length = side³

Given:

Sides of cube

a=8cm

b=8cm

c=12cm

Radius of hemisphere=4cm

The volume of a hemisphere = (1/3)πr³cubic centimeters.

=1/3×π×4³

=66.9cm³

Volume of cube=a×b×c

=8×8×12

=768cm³

Composite volume=The volume of a hemisphere + Volume of cube

=66.9+768

=834.9cm³

To know more about angles, visit:

https://brainly.com/question/13954458

#SPJ1

Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly.

Answers

Answer:

Step-by-step explanation:

Refers to the attachment given below!

Owen stops at a gas station. He pays for gas and a car wash. The graph shows the total cost of
Owen's stop at the gas station, y, as a function of the number of gallons of gas, z.

Answers

The rate of the function is 4 dollars per gallon of gas. 4 is the cost per gallon of gas, and 8 is the fixed cost of the car wash.

What is gallon of gas

A gallon of gas = 20 pounds of CO₂!

20 pοunds οf carbοn diοxide are prοduced when 6.3 pοunds οf petrοl are burned.

The twο οxygen atοms accοunt fοr a large pοrtiοn οf the weight οf carbοn diοxide (CO₂) (the O₂). Atοms οf carbοn and hydrοgen are jοined tο fοrm petrοl mοlecules. The carbοn and hydrοgen in the gas mοlecules in petrοl burn apart. H₂O, οr water, is created when twο hydrοgen atοms unite with οne οxygen atοm.

Each petrοl carbοn atοm jοins twο οxygen atοms that are already present in the atmοsphere. It prοduces CO₂.

To find the rate of the function, we need to calculate the slope of the line that represents the total cost of Owen's stop at the gas station as a function of the number of gallons of gas. We can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line. We can use the coordinates (0, 8) and (7, 36) to calculate the slope:

slope = (36 - 8) / (7 - 0) = 28 / 7 = 4

Therefore, the rate of the function is 4 dollars per gallon of gas.

To find the cost per gallon of gas, we can use the y-intercept of the line, which represents the fixed cost of the car wash. From the graph, we can see that the y-intercept is 8 dollars. Therefore, the gas costs (y - 8) dollars per gallon.

We can write this equation as:

y = 4z + 8

where y is the total cost of Owen's stop at the gas station, z is the number of gallons of gas, 4 is the cost per gallon of gas, and 8 is the fixed cost of the car wash.

To know more about gas visit:

https://brainly.com/question/3637358

#SPJ1

The complete question is:

An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in california. he believes that the mean income is $21.2 , and the standard deviation is known to be $9.3 . how large of a sample would be required in order to estimate the mean per capita income at the 95% level of confidence with an error of at most $0.68 ? round your answer up to the next integer.

Answers

A sample of 719 times bigger would be needed to estimate the mean per capita income at the 95% level of confidence with an error of at most $0.68.

It is given to us that an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California and that he believes that the mean income is $21.2, and the standard deviation is known to be $9.3,

Therefore, here we can make out that:

Number of samples required (n) is given by:

n = (Z²α/2) × б²/e²

It is given to us that, α = 0.05

Therefore, from data provided to us we can get to know that the critical values of Z = ± 1.96

б = 9.3

e = 0.68

when we substitute these values in the above equation, we get:

n = 1.96² × 9.3²/0.68² = 719

Therefore, a sample of 719 times bigger would be needed to estimate the mean per capita income at the 95% level of confidence with an error of at most $0.68.

To learn more about level of confidence, click here:

brainly.com/question/30229866

#SPJ4

If ∠J and ∠K are acute angles in a right triangle and m∠J is less than 60°, then cos(J)=cos(K)

Answers

In a right triangle, the sum of the measures of the two acute angles is always 90 degrees. So if ∠J and ∠K are acute angles in a right triangle, then we have:

m∠J + m∠K = 90°

Since m∠J is less than 60°, it follows that m∠K is greater than 30°, because their sum is 90°.

Now, let's consider the cosine of ∠J and ∠K. By definition, the cosine of an angle in a right triangle is the ratio of the adjacent side to the hypotenuse. So we have:

cos(J) = adjacent side to ∠J / hypotenuse

cos(K) = adjacent side to ∠K / hypotenuse

Since ∠J and ∠K are acute angles in a right triangle, they each have a unique adjacent side. Since the triangle is a right triangle, the hypotenuse is always the same, regardless of which angle is being considered.

Therefore, in general, it is not true that cos(J) = cos(K) for all right triangles with acute angles ∠J and ∠K, where m∠J is less than 60°. It depends on the specific values of the adjacent sides.

a) what is 10% of 30?
d) what number is 10% more than 30

Answers

a

Answer:

10% of 30

=10/100×30

=3

A tower is composed of a prism with a square base and a pyramid. the base length is 20 meters, and the height of the prism is 40 meters, while the slant height of the pyramid is 10√2 meters. what is the total surface area, including the bottom base? 400√2 3,600 m2 200√2 3,600 m2 400√2 400 m2 4000√2 m2

Answers

The total surface area of the tower, including the bottom base, is [tex]3600+400\sqrt{2}[/tex] square meters.

The surface area of the tower can be found by calculating the surface area of the prism and the surface area of the pyramid separately, and then adding them together.

The surface area of the square base of the prism is [tex]20^2 = 400[/tex] square meters.

The lateral surface area of the prism is the product of the perimeter of the base and the height, which is [tex]4*(20)*40 = 3200[/tex] square meters.

The surface area of the pyramid is given by the formula:

base area + 1/2(perimeter of base)(slant height)

The base area of the pyramid is [tex]20^2 = 400[/tex] square meters. The perimeter of the base is 4(20) = 80 meters. Therefore, the surface area of the pyramid is:

[tex]400 + [(\frac{1}{2})*(80)(10\sqrt{2})] = 400 + 400\sqrt{2}[/tex] square meters.

The total surface area of the tower is the sum of the surface area of the prism and the surface area of the pyramid, which is:

[tex]3200 + 400 + 400\sqrt{2} = 3600 + 400\sqrt{2}[/tex] square meters.

To know more about surface area

brainly.com/question/29298005

#SPJ4

Candice is taking a group nature hike in a park. There is a $13.00 fee just to enter the park. In addition, the tour group charges $0.38 per mile they hike. She brought $87.00 with her. Which equation can be used to determine how many miles can she hike?
A.
0.38x + 87 = 13
B.
13 - 0.38x = 87
C.
87 + 13 = 0.38x
D.
0.38x + 13 = 87

Answers

The correct answer to the given question about equation of Candice taking a hike is option D)  0.38x + 13 = 87

The cost for Candice to enter the park is a fixed fee of $13.00, and the additional cost for the tour group to hike is $0.38 per mile. If Candice has $87.00 to spend, we can use the following equation to determine how many miles she can hike:

0.38x + 13 = 87

Here, x represents the number of miles Candice can hike.

The left-hand side of the equation represents the total cost, which includes the fixed entrance fee of $13.00 plus the variable cost of $0.38 per mile multiplied by the number of miles hiked, represented by 0.38x.

The right-hand side of the equation represents the total amount Candice can spend, which is $87.00.

By solving for x, we can find the number of miles Candice can hike within her budget.

Therefore, the correct answer is D. 0.38x + 13 = 87

To learn more about equation click here

brainly.com/question/29657983

#SPJ1

Find the zeros of the following quadratic function

Answers

The zeros of the quadratic function  [tex]f(x) = 2x^2 - 5x + 2 are x = 1/2 and x = 2.[/tex]

What is quadratic function?

A quadratic function is a mathematical function of the form:

[tex]f(x) = ax^2 + bx + c[/tex]

where a, b, and c are constants, and x is the variable. The highest power of the variable x in a quadratic function is 2, which means it is a second-degree polynomial.

In a quadratic function, the graph is a parabola, which can open up or down depending on the sign of the leading coefficient a. If a > 0, the parabola opens up, and if a < 0, the parabola opens down. The vertex of the parabola represents the minimum or maximum value of the function, depending on the direction of the parabola.

To find the zeros of the quadratic function:

[tex]f(x) = 2x^2 - 5x + 2[/tex]

We need to solve the equation:

[tex]2x^2 - 5x + 2 = 0[/tex]

We can factor this quadratic equation as follows:

[tex]2x^2 - 4x - x + 2 = 02x(x - 2) - 1(x - 2) = 0(2x - 1)(x - 2) = 0[/tex]

So the zeros of the quadratic function are:

x = 1/2 or x = 2.

Therefore, the zeros of the quadratic function is:[tex]f(x) = 2x^2 - 5x + 2 are x = 1/2 and x = 2.[/tex]

To know more about quadratic function, visit

brainly.com/question/27958964

#SPJ1

Write the phrase as an algebraic expression. Let x represent the unknown number.

Nineteen more than a number

The Translation is_____.

Answers

If  x is the unknown number and Nineteen more than a number. Thus, Translation is 19 units on the right to get x + 19.

Explain about the Translation:

Each point in a figure is moved the same distance in a single direction using a type of transformation known as translation.

In geometry, a function that transfers an object a specific distance is referred to as translation. Nothing else is done to change the object. It is not scaled, reflected, rotated, or refracted.

Give that:

x is the unknown number and Nineteen more than a number.

Then, there is a shift of 19 units on the right of x. add 19 to unknown number x to get the translation.

x + 19

Thus, Translation is 19 units on the right to get x + 19.

Know more about the Translation

https://brainly.com/question/12861087

#SPJ1

Other Questions
as the price of a good or service increases, consumers will purchase a lower quantity of that good or service due, in part, to the fact that consumers cannot afford the same quantity of a good or service at a higher price. this concept is known as the .(1 point) Select the correct answer from the drop-down menu.A sphere has a radius of 24 centimeters. What is its volume? Some people think that newspapers are the best way to leam news. However, others believe that they can learn news better through other media. Discuss both views and give your opinion Explain to Tony how he can get the answer without doing any work. Write the special pattern he will need to use and explain how to use it to find each term of the trinomial.HELP!!!!!!!!!!!!!!!!!!!!! I NEED THIS ASAP words! mere words! how terrible they were! how clear, and vivid, and cruel! one could not escape from them. and yet what a subtle magic there was in them! they seemed to be able to give a plastic form to formless things, and to have a music of their own as sweet as that of viol or of lute. mere words! was there anything so real as words? Help Please I will give 20points which of the following statements are true about virtual nics? (select two.) answer virtual nics need the appropriate driver to function. virtual nics don't have a mac address. virtual nics can only communicate with other virtual nics. multiple virtual nics can be added to a virtual machine. the type of nic installed in the physical machine determines the type of virtual nic that is emulated. Emily and her four friends are splitting the cost of a vacation. Each person cannot pay more that $200. What could be the total cost of the vacation? Which device is im a window an example of? the narrator sees the reflection of another veteran looking at the memorial. the narrator says, hes lost his right arm / inside the stone. inside the stone is a metaphor for . if you were a worker at a northern textile mill during washington's presidency would you support the republicans or federalism explain you are working with a database table that contains invoice data. the customer id column lists the id number for each customer. you are interested in invoice data for the customer with id number 40. you write the sql query below. add a where clause that will return only data about the customer with id number 40. 12345 select*frominvoice run reset after you run your query, use the slider to view all the data presented. what is the billing city for the customer with id number 40? calculate the time in Brazil 60W, when it is 2.30am at 15E? Write a cubic function in standard form that has x-intercepts at (-1,0) (2,0) (4,0) and a y intercept at (0,-24) you have a credit card with a balance of $11,800 and an apr of 17.4 percent compounded monthly. you have been making monthly payments of $230 per month, but you have received a substantial raise and will increase your monthly payments to $280 per month. how many months quicker will you be able to pay off the account? what is the long method of 23 650 1. define and give examples of terms used in cohort studies. a. temporality b. cohort c. cohort effect d. cohort analysis: wade hampton frost on september 1, a customer's account balance of $2,300 was deemed to be uncollectible. what entry should be recorded on september 1 to record the write-off assuming the company uses the allowance method? ECON QUESTION !! What is the overall objective of a business raising financial capital?(1 point)A) decrease operating costs and increase the number of investorsB) increase revenues and the number of investorsC) reducing financial obligations and increase revenueD) grow and increase profitchapter 5 test, banking and finance...if you have all the answers that would be greatly appreciated why did the U.S support the Mexican war a chain 73 meters long whose mass is 22 kilograms is hanging over the edge of a tall building and does not touch the ground. how much work is required to lift the top 12 meters of the chain to the top of the building? use that the acceleration due to gravity is 9.8 meters per second squared. hint: don't forget that when you lift the top 12 meters of the cable you are also lifting the bottom 61 meters of the cable, just not all the way to the top.