Question

An element with mass 310 grams decays by 8. 9% per minute. How much of the element is remaining after 19 minutes, to the nearest 10th of a gram?.

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 &310\\ r=rate\to 8.9\%\to (8.9)/(100)\dotfill &0.089\\ t=\textit{elapsed time}\dotfill &19\\ \end{cases} \\\\\\ A=310(1-0.089)^(19)\implies A=310(0.911)^(19)\implies A\approx 52.8`