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bixtya [17]
3 years ago
11

A certain college graduate borrows 5510 dollars to buy a car. The lender charges interest at an annual rate of 17%. Assuming tha

t interest is compounded continuously and that the borrower makes payments continuously at a constant annual rate k dollars per year, determine the payment rate that is required to pay off the loan in 7 years. Also determine how much interest is paid during the 7-year period. Round your answers to two decimal places. Payment rate dollars per year Interest paid dollars Click if you would like to Show Work for this question: Open Show Work SHOW HINT UNK TO TEXT
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

His annual payment rate required to pay off the loan in 7 years is k = $2362.41 a year.

He has to pay $11026.85 in interest

Step-by-step explanation:

The first step to solve this problem is find how much the student will have to pay for the car. So, we have to find how much the present value of the car(in $) will be worth in 7 years. This is a compound interest problem:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this exercise, we have:

A = The value we want to find

P = The initial value = 5510

r = 0.17

n = 1

t = 7

So

A = 5510(1 + \frac{0.17}{1})^{7}

A = $16536.85

In a seven year period, he has to pay $16536.85. Per year, he has to pay a rate k of:

k = \frac{16536.85}{7} = $2362.41

His annual payment rate required to pay off the loan in 7 years is k = $2362.41

How much does he pay in interest?

His loan is $5510 and he has to pay $16536.85. So, in interest, he has to pay 16536.85 - 5510 = $11026.85

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vitfil [10]

Answer:

15.6 inches

Step-by-step explanation:

Here we want to find the length of the missing side

Mathematically, we can use Pythagoras’ theorem

The theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the missing side be x

18 is the side that faces right angle and this is the hypotenuse

Thus, we have ;

x^2 + 9^2 = 18^2

x^2 = 324 - 81

x^2 = 243

x = √(243)

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5 0
3 years ago
When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one
Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that p = 0.75

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

P(X = 6) + P(X < 6) = 1

We want P(X < 6). So

P(X < 6) = 1 - P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.18

P(X < 6) = 1 - P(X = 6) = 1 - 0.18 = 0.82

0.82 = 82% probability that at least one party will not order drinks

5 0
3 years ago
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The answer to 14 I don't understand how to classify it
Nikitich [7]
The classification would be a right triangle
6 0
4 years ago
A production plant cost-control engineer is responsible for cost reduction. One of the costly items in his plant is the amount o
Ann [662]

Answer:

248.96

Step-by-step explanation:

From this regression output we have the MS Residual or mean squared error to be equal to 61983.1

the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.

\sqrt{61983.1}

= 248.96

the standard error of the estimate = 248.96

thank you!

6 0
3 years ago
Landon buys some of his clothes second hand. If 40% of his shirts are second hand and he owns 65 shirts, how many of Landon's sh
Leni [432]

Answer:

26

Step-by-step explanation:

6.5 is 10% of 65, so to find 40% of 65 we multiply 6.5*4=26

4 0
3 years ago
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