Sodium-24 has a half-life of 15 hours.
How many grams of a 900g sample will remain after 90 hours

A. 7.03125g
B. 7.5g
C. 14.0625g
D. 28.125g

(The 24 in Sodium-24 has nothing to do with the equation, that’s just the name.) Please help!! I will give brainliest!! : )

Respuesta :

[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 &900\\ t=\textit{elapsed time}\to &90\\ h=\textit{half-life}\to &15 \end{cases} \\\\\\ A=900\left( \frac{1}{2} \right)^{\frac{90}{15}}\implies A=900\left( \frac{1}{2} \right)^6[/tex]