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)=25,900(0.86)^t Find the intial value of the car and the value after 13 years. Round your answers to the nearest dollor as necessary.

Answer 1

`V(t)=25,900(0.86)^t`

To find the initial value of the car replace when t=0

`\begin{gathered} V(0)=25,900(0.86)^0 \\ V(0)=25,900 \end{gathered}`

To find the value after 13 years use t=13

`\begin{gathered} V(13)=25,900(0.86)^(13) \\ V(13)=3645.69\approx3646 \end{gathered}`