Question

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

Answer 1

54
The answer is fifty four

Answer 2

We will have the following:

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

So, it will be about 7 seconds.