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The Natural Base e

The Natural Base e 1.7 - Solution

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Let's analyze the given formula. H=18500e-0.186t\begin{gathered} H=18\,500e^{\text{-} 0.186t} \end{gathered} The number v(t)v(t) is the value of the car after tt years. We are asked to find the worth of the car after 1818 months, i.e., after 1.5{\color{#0000FF}{1.5}} years. Therefore, we will substitute 1.5{\color{#0000FF}{1.5}} for t{\color{#0000FF}{t}} into the given equation.
H=18500e-0.186tH=18\,500e^{\text{-} 0.186t}
H=18500e-0.186(1.5)H=18\,500e^{\text{-} 0.186({\color{#0000FF}{1.5}})}
H13996H\approx 13\,996