Question

The dollar value v(s) of a certain car model that is t years old is given by» (t) = 25.900(0,92)Find the initial value of the car and the value after 12 years.Round your answers to the nearest dollar as necessary.Initial value:Value after 12 years.sx 5 ?

Answer 1

we have the following:

`\begin{gathered} v(t)=25900\cdot(0.92)^t \\ v(0)=25900\cdot(0.92)^0=25900\cdot1=25900 \\ v(12)=25900\cdot(0.92)^(12)=25900\cdot0.3676=9522.56 \end{gathered}`

therefore, tue intial value is 25900 and value after 12 yeras is 9523