Respuesta :
[tex]\bf ~~~~~~ \textit{Compounding Continuosly Interest Earned Amount}\\\\
A=Pe^{rt}\qquad
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$400\\
r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\
t=years\to &1.5
\end{cases}
\\\\\\
A=400e^{0.076\cdot 1.5}\implies A=400e^{0.114}[/tex]
The amount of the money in the account after 1.5 years with a rate of 7.6% will be $ 447.
What is compound interest?
Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Suppose you invest $400 at an annual interest rate of 7.6% compounded continuously.
We know the formula of compounding
[tex]A = 400 (1 + 0.076)^{1.5}\\\\A = 446.445\\\\ A \approx 447[/tex]
More about the compound interest link is given below.
https://brainly.com/question/25857212
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