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Ganezh [65]
3 years ago
12

You have just purchased a car and, to fund the purchase, you borrowed $32,000. If your monthly payments are $615.13 for the next

5 years, what is the APR of the loan?
Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

9514 1404 393

Answer:

  5.76%

Step-by-step explanation:

There is no formula for APR. It must be found using an iterative calculation, as from a spreadsheet or financial calculator.

__

The value can also be found graphically from the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal amount of the loan, r is the annual rate, and t is the number of years.

This can be put into a form that can be solved easily by a graphing calculator. We want it to find the x-intercept of f(x) = 0, so we define ...

  f(x) = A(P, x/100, t) -615.13

where A(P, r, t) is defined above, and we let r = x/100 so x is the APR. The graph shows us the APR is 5.763%.

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A certain portfolio consisted of 5 stocks, priced at $20, $35, $40, $45, and $70, respectively. On a given day, the price of one
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Answer:

Option E: 35, 40, 45

Step-by-step explanation:

To solve this problem we can test the options, checking if the calculations will match the result.

A.

20, 35 and 70 remained constant.

The average price of a stoc in the portfolio before the changings were:

(20+35+40+45+70)/5 = 42

With an increase of approximately 2%, the average value will be approximately 42*1.02 = 42.84

If the average price of a stock in the portfolio rose, and the rise of one stock in percentage was bigger than the fall of the other stock, we need to choose the stock that has the bigger price as the one that increased its value.

An increase of 15% is calculated multiplying the base value by 1.15, and a decrease of 35% is calculated multiplying the base value by (1-0.35)=0.65.

So, if the stocks affected were the $40 and 45$, we have that:

(20+35+40*0.65+45*1.15+70)/5 = 40.55

That's not the correct answer.

B.

20, 45 and 70 remained constant.

Affected: 35 and 40

(20+35*0.65+40+45*1.15+70)/5 = 40.9

That's not the correct answer.

C.

20, 35 and 40 remained constant.

Affected: 45 and 70

(20+35+40+45*0.65+70*1.15)/5 = 40.95

That's not the correct answer.

D.

35, 40 and 70 remained constant.

Affected: 20 and 45

(20*0.65+35+40+45*1.15+70)/5 = 41.95

That's not the correct answer.

E.

35, 40 and 45 remained constant.

Affected: 20 and 70

(20*0.65+35+40+45+70*1.15)/5 = 42.7

That's the correct answer, with an increase in the average value of 0.7/42 = 0.0167 = 1.67%

6 0
3 years ago
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