Q:

what is the rate of decay, as a percent, for the following function n(x)=7(0.067)^x

Accepted Solution

A:
[tex]\bf \qquad \textit{Amount for Exponential Decay}\\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ \end{cases}\\\\ -------------------------------\\\\ n(x)=7(0.067)^x\implies n(x)=7(1-\stackrel{r}{0.933})^x \\\\\\ r=0.933\qquad r\%=0.933\cdot 100\implies r=\stackrel{\%}{93.3}[/tex]