Question

Please Answer!!

After t years, the rate of depreciation of a car that costs $20,000 is 25%. What is the
value of the car 2 years after it was purchased?

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 25\%\to (25)/(100)\dotfill &0.25\\ t=\textit{elapsed time}\dotfill &2\\ \end{cases} \\\\\\ A = 20000(1 - 0.25)^(2) \implies A=20000(0.75)^2\implies A = 11250`