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Alexus [3.1K]
3 years ago
5

Sam is paying off his eight-year, $15,360 loan in semiannual installments. The loan has an interest rate of 9.58%, compounded se

miannually, and a service charge of $1,294.64. Once the loan has been fully paid off, what percentage of the total finance charge will the service charge be? Round all dollar values to the nearest cent.
a. 5.48%
b. 8.43%
c. 18.55%
d. 15.65%
Mathematics
2 answers:
zhannawk [14.2K]3 years ago
7 0
15360 =  P {1-(1.0479)^-16 / 0.0479]

15360 /  {1-(1.0479)^-16 / 0.0479]  = P

P = 1396.1604

Sam's total payment = 1396.1604^16  = 22338.56
interest charge = 6978.56
Total finance charge = 8273.20

1294.64/8273.2 x 100 = 15.6486

I think the answer is D. 15.65 %

hope this helps

umka2103 [35]3 years ago
6 0

Answer:

15.65%

Step-by-step explanation:

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Step-by-step explanation:

x = (7+4√3)

x^2 =  x = (7+4√3)^2

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Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

<h3>Answers:</h3>
  • Angle M = 40 degrees
  • Angle N = 20 degrees
  • Angle O =  120 degrees

====================================================

Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

2700 = 180(n-2)

n-2 = 2700/180

n-2 = 15

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<h3>Answer: 17 sides</h3>

====================================================

Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

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x = 22.5

This leads to 3x = 3*22.5 = 67.5

<h3>Answers:</h3>
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  • Larger acute angle = 67.5 degrees
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x+x+2+x+4+x+6=180
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