Question

Can someone please help me out with this?

Answer 1

`\textit{Periodic/Cyclical Exponential Decay} \\\\ A=P(1 - r)^{(t)/(c)}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &4900\\ r=rate\to 62.5\%\to (62.5)/(100)\dotfill &(5)/(8)\\ t=\textit{seconds}\\ c=period\dotfill &7 \end{cases} \\\\\\ A=4900(1 - (5)/(8))^{(t)/(7)}\implies A=4900((3)/(8))^{(t)/(7)}\hspace{5em}losing ~~ (5)/(8) ~~ \textit{every 7 seconds}`