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Oxana [17]
3 years ago
15

Compute the simple interest earned on a deposit of $5000 at 8.5% for 120 days

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0
Keeping in mind that 120 days is not even a year, since there are 365 days in a year, exluding leap-years, then 120 days is really 120/365 year.

\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$5000\\
r=rate\to 8.5\%\to \frac{8.5}{100}\to &0.085\\
t=years\to \frac{120}{365}\to &\frac{24}{73}
\end{cases}
\\\\\\
I=(5000)(0.085)\left( \frac{24}{73} \right)\implies I \approx 139.72602739726
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