Question

How much of a radioactive kind of tellurium will be left after 12 months if the half-life is 2 months and you start with 864,640 grams?

Answer 1

`\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( (1)/(2) \right)^{(t)/(h)}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &864640\\ t=months\dotfill &12\\ h=\textit{half-life}\dotfill &2 \end{cases} \\\\\\ A = 864640\left( (1)/(2) \right)^{(12)/(2)}\implies A=864640\left( (1)/(2) \right)^6 \implies A = 13510`