MATH SOLVE

6 months ago

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]