Question

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

v (t) = 19,900(0.86)^t
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary.

Answer 1

v(0) = 19,900, v(11) = 3,787.36

Explanation:

v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000

v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36