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Question 121 ptsRefer to Question 11. How fast is the resale value changing when t = 5 years? Round the answer to two decimal places. Make sure to indicate wether increasing or decreasing

Question 121 ptsRefer to Question 11 How fast is the resale value changing when t 5 years Round the answer to two decimal places Make sure to indicate wether in class=

Respuesta :

We will have the following:

[tex]\begin{gathered} 1600=400+4800e^{-0.2t}\Rightarrow1200=4800e^{-0.2t} \\ \\ \Rightarrow\frac{1}{4}=e^{-0.2t}\Rightarrow ln(\frac{1}{4})=ln(e^{-0.2t}) \\ \\ \Rightarrow ln(\frac{1}{4})=-0.2t\Rightarrow t=-\frac{ln(1/4)}{0.2} \\ \\ \Rightarrow t=6.931471806...\Rightarrow t\approx7 \end{gathered}[/tex]

So, it will be about 7 seconds.

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