An element decays at the rate of $S(t)=\mathrm{se}^{-0.073 t}$, where $s$ is the initial amount in grams and $t$ is the time in years since this initial amount was present. If you have a 39-gram piece of this element, how many grams will you have 5 years from now? Round your answer to the nearest tenth of a gram.
A) $27.1 \mathrm{~g}$
B) $0.7 \mathrm{~g}$
C) $56.2 \mathrm{~g}$
D) $18.1 \mathrm{~g}$

Question

Quizplus · Accepted Answer

To find the amount of the element remaining after 5 years, substitute $s = 39$ and $t = 5$ into the decay formula: $S(5) = 39e^{-0.073 \times 5}$. Calculating this gives approximately $27.1$ grams.

An Element Decays at the Rate Of S(t)=se−0.073tS(t)=\mathrm{se}^{-0.073 t}S(t)=se−0.073t , Where sss

An Element Decays at the Rate Of $S(t)=\mathrm{se}^{-0.073 t}$ , Where $s$