Assume you just bought a new car and now have a car loan to repay. The amount of the principal is​ $22,000, the loan is at​ 5.9% APR, and the monthly payments are spread out over 6 years. What is the loan​ payment? Use a calculator to determine your answer.A.​$305.56B.​$363.57C.​$297.70D.​$331.14

Respuesta :

Answer:

B. $363.57%

Step-by-step explanation:

M = P [i(1+i)^n/ 1-(1+i)^n]

M = Your monthly repayment, the figure you’re trying to solve for.

P =The principal on the loan, or original amount you borrowed. (22000)

i = Your effective monthly interest rate. Remember, the rate is APR, so you’ll need to divide by 12 to get your monthly interest rate.  (5.9%/12 = 0.00492)

n = The total number of repayments on the loan (72).

M = 22000* [(0.00492(1+0.00492)^72)/(1-(1+0.00492)^72)]

M = 22000 *[0.00705/0.42385]

M = 22000* 0.016527 = 363.57

M = $363.57 Approx

Answer:

B. $363.57

Step-by-step explanation:

Monthly Repayment = {PXr(1+r)ⁿ}/{(1+r)ⁿ-1}

Where P=Principal

n= number if repayments in months

r= monthly rate

To determine the monthly rate, Divide the rate by 12

Rate= 5.9%= 0.059

Monthly Interest Rate=0.059/12

= 0.00492

n=6 years X 12 Months

Principal=$22000

Monthly Repayment

= {PXr(1+r)ⁿ}÷ {(1+r)ⁿ-1}

= {22000X(0.059/12)X(1+0.059/12)⁷²} ÷ {(1+0.059/12)⁷²-1}

={108.24(1.00492)⁷²} ÷ {(1.00492)⁷²-1}

=363.5659341655674

Monthly Payment= $363.57