Question

Find the rate of growth of the function a(x) = 19(2.046)^2

Please write answer in a percentage.

Answer 1

`\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 (r)/(100)\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ A(x)=19(2.046)^2\implies A(x)=19(1+\stackrel{r}{1.046})^2 \\\\\\ \cfrac{r}{100}=1.046\implies r=100\cdot 1.046\implies r=104.6\%`