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Salsk061 [2.6K]
3 years ago
9

The half-life of a certain substance is 20 years. How much of a 100 gram sample will be left after 20 years?

Mathematics
2 answers:
Dahasolnce [82]3 years ago
7 0

50 grams of that sample will be left after 20 years since it’s only gone through one half-life exactly.

cluponka [151]3 years ago
5 0

\bf \textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &100\\ t=\textit{elapsed time}\dotfill &20\\ h=\textit{half-life}\dotfill &20 \end{cases} \\\\\\ A=100\left( \frac{1}{2} \right)^{\frac{20}{20}}\implies A=100\left( \frac{1}{2} \right)^1\implies A=50

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