Respuesta :
[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &5 \end{cases} \\\\\\ A=600e^{0.07\cdot 5}\implies A=600e^{0.35}\implies A\approx 851.44[/tex]
The compound interest be 841.80
What is Compound Interest?
To find Compound Interest use the Formula:
[tex]$A=P\left(1+\frac{r}{n}\right)^{n t}$[/tex]
where A be the compound interest
P exists the amount deposited [tex]$(\$ 600)$[/tex]
r exists the rate (7 %)
n exists the number of times it is compounded in one year (1)
t exists the number of years (5)
Given:
$600 exists deposited in an account that pays 7% annual interest, compounded continuously.
Step 1
Substitute the values in the above equation,
[tex]$A=600\left(1+\frac{7}{100 \cdot 1}\right)^{1 \cdot 5}$[/tex]
simplifying the equation as
[tex]$A=600(1+0.07)^{5}$[/tex]
[tex]$A=600 \cdot(1.07)^{5}$[/tex]
[tex]$A=600 \cdot 1.403$[/tex]
[tex]$A=\$ 841.80$[/tex].
The compound interest be 841.80
Therefore, the correct answer is 841.80.
To learn more about compound interest, refer:
https://brainly.com/question/18456266
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