montyandchristie montyandchristie
  • 18-02-2018
  • Mathematics
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Patel made a deposit into an account that earns 5%simple interest. After 10 years Patel had earned $1500 in interest. How much was Patel’s initial deposit?

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jdoe0001 jdoe0001
  • 19-02-2018
[tex]\bf ~~~~~~ \textit{Simple Interest Earned}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\to &\$1500\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\to &0.05\\ t=years\to &10 \end{cases} \\\\\\ 1500=P(0.05)(10)\implies \cfrac{1500}{(0.05)(10)}=P[/tex]
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