Question

What are the answers for both drop downs the first one is asking for 3.113 and the second is asking for 1.2795

Answer 1

`\bf \qquad \textit{Amount for Exponential Growth}\\\\ A=I(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\\ r=rate\to r\%\to (r)/(100)\\ t=\textit{elapsed time}\\ \end{cases}\\\\ -------------------------------\\\\ P(x)=3.113(1.2795)^x\implies \stackrel{A}{P(x)}=\stackrel{I}{3.113}(1+\stackrel{r}{0.2795})^{\stackrel{t}{x}}`

usually, the "r" above, is used as a "rate of increase".

but 1+r combined, can be referred as the "rate for the new size".

so, for example, if something is increasing at a rate of 25%, 1+0.25 or 1.25, the new size wil be 1.25 or 125% of the old size.