Respuesta :

[tex] \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}\\\\
-------------------------------\\\\
\stackrel{A}{f(t)}=\stackrel{P}{120}(1.15)^t\implies f(t)=120(1+\stackrel{r}{0.15})^t
\\\\\\
r\%=0.15\cdot 100\implies r=\stackrel{\%}{15} [/tex]

GoddessofDork

Remember that the equation formula for this is y = ab^x, which a = initial value and b = growth/decay.


Since this is an increase, you will be subtracting 1 from the growth percentage, which is 1.15. The quantity becomes 0.15.


To convert that into a percentage, just move the decimal 2 places to the right, which will be 15.


In short, the rate of increase is 15%.

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