The value, $V$ dollars, of a vehicle depreciates over time. Given that \(V=84000{{\mathrm{e}}^{kt}

Question

The value, $V$ dollars, of a vehicle depreciates over time. Given that $V=84000{{\mathrm{e}}^{kt}}$, where $t$ is the time in years since it was bought and $k$ is a constant, calculate the initial value of the vehicle, the value of $k$ if, after $3$ years, the value of the vehicle has halved the value of $t$ when the value of the vehicle is one-fifth its original value?

Accepted Answer

(a) $84000$ (b) $-0.231$ (c) $6.97$

Exponential and Logarithmic Functions - Applications of Exponential and Logarithmic Functions

Exponential and Logarithmic Functions - Applications of Exponential and Logarithmic Functions

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