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Greeley [361]
3 years ago
14

starting with 25 members a club doubled its membership every year write the function f(n) that expresses the number of members a

fter six years
Mathematics
1 answer:
Bumek [7]3 years ago
8 0
\bf \qquad \textit{Amount for Exponential Growth}\\\\
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}

now, we know they're doubling every year, so the rate of growth is 100%, so whatever amount, + 100% is just double that much, therefore,

\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=P(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &25\\
r=rate\to 100\%\to \frac{100}{100}\to &1.00\\
t=\textit{elapsed time}\to &6\\
\end{cases}
\\\\\\
A=25(1+1)^6\implies A=25(2)^6\implies A=1600
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