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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.

Respuesta :

[tex]V(t)=25,900(0.86)^t[/tex]

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

[tex]\begin{gathered} V(0)=25,900(0.86)^0 \\ V(0)=25,900 \end{gathered}[/tex]

To find the value after 13 years use t=13

[tex]\begin{gathered} V(13)=25,900(0.86)^{13} \\ V(13)=3645.69\approx3646 \end{gathered}[/tex]

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