need help with a math problem asap. thank you.

Question

A car depreciates at a rate of 13% per year. The car was originally purchased for $28,000.

1. What is the decay factor for the value of the car? (7 points)

2. Write a function for this situation with the value of the car as a function of the age of the car in years. (8 points)

3. How much will the car be worth in 6 years? (7 points)

4. Rewrite the function for question 2 so it is an equivalent function with a negative exponent. (8 points)

Answer 1

1) 100% - 13% = 87% = 0.87

2) 28000 * (0.87)^t = f(t)

3) f(6) = 12,141.53

4) 28000/(0.87)^(-t) = f(t)