Question

A car depreciates at a rate of 30% per year. How much will

a $20 000 car be worth after five years? (3 marks)

Answer 1

`\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &20000\\ r=rate\to 30\%\to (30)/(100)\dotfill &0.3\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=20000(1 - 0.3)^(5)\implies A=20000(0.7)^5\implies A=3361.4`