Mia Salto wishes to determine how long it will take to repay a loan with initial proceeds of $15,000 where annual end-of-year installment payments of $3,249 are required.

a. If Mia can borrow at an annual interest rate of 12%, how long will it take for her to repay the loan fully?

b. How long will it take if she can borrow at an annual rate of 9%?

c. How long will it take if she has to pay 15% annual interest?

d. Reviewing your answers in parts a, b, and c, describe the general relationship between the interest rate and the amount of time it will take Mia to repay the loan fully.