[tex]\bf \textit{Amount for Exponential Decay using Half-Life}\\\\
A=I\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &50\\
t=\textit{elapsed time}\to &24\\
h=\textit{half-life}\to &3
\end{cases}
\\\\\\
A=50\left( \frac{1}{2} \right)^{\frac{24}{3}}\implies A=50\left( \frac{1}{2} \right)^8\implies A=50\cdot \cfrac{1^8}{2^8}
\\\\\\
A=50\cdot \cfrac{1}{256}\implies A=\cfrac{50}{256}\implies A=\cfrac{25}{128}[/tex]
