IDNLearn.com offers a unique blend of expert answers and community insights. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

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?.

Sagot :

[tex]\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 \frac{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[/tex]