The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.

V (t) = 24,500 (0.95^t)

Find the initial value of the car and the value after 13 years.

Round answers to the nearest dollar as necessary.

Question

Mathematics

Jaden Hughes

19 December, 08:39

The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.

V (t) = 24,500 (0.95^t)

Find the initial value of the car and the value after 13 years.

Round answers to the nearest dollar as necessary.

+3

Answers (1)

Know the Answer?

Addisyn Benton · Answer 1

Initial value means t equals 0. Therefore

24,500 * (0.95^0) =

24,500*1 = 24,500

Hence, the initial value is £24,500

The value after 13 years means t equals 13. Therefore

24,500 * (0.95^13) =

12,576.88

Hence, the value after 13 years is about £12,577

The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.V (t) = 24,500 (0.95^t)Find the initial value of the car and the value after 13 years.Round answers to the nearest dollar as necessary.

The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.

V (t) = 24,500 (0.95^t)

Find the initial value of the car and the value after 13 years.

Round answers to the nearest dollar as necessary.