victoria01 victoria01
  • 27-06-2018
  • Mathematics
contestada

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

Respuesta :

jdoe0001 jdoe0001
  • 27-06-2018
[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} \\\\\\ \boxed{A=P(1 + r)^t~~\implies ~~a(x)=(2.046)^x} \\\\\\ 1+r=2.046\implies r=2.046-1\implies r=1.046 \\\\\\ r\%=1.046\cdot 100\implies r=\stackrel{\%}{104.6}[/tex]
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