Q:

Alisha has a $15,000 car loan with a 6 percent interest rate that is compounded annually. How much will she have paid at the end of the five-year loan term?total amount = P (1 + i)t$19,500.25$15,900.50$20,073.50

Accepted Solution

A:
Use the attached formula.
r = 6 / 1,200 = .005
Principal = 15,000
n = number of payments = 5 yrs * 12 months = 60
TOTAL Loan Cost = (.005 * 15,000 * 60) / 1 -(1.005^-60)
TOTAL Loan Cost = 4,500 / (1 - 0.7413721962)
TOTAL Loan Cost = 4,500 / 0.2586278038
TOTAL Loan Cost = 17,399.52
Although it is NOT one of the choices, I think my answer of 17,399.52 is correct.  Using a monthly loan payment calculator, I get 289.99 for the monthly payment.  290*60 months = 17,400 so that seems correct.
I do not think that formula you posted is correct.  (Compare it to the one I posted.)