Respuesta :

The formula for finding simple interest is as given below

[tex]I=\frac{\text{PRT}}{100}[/tex][tex]\begin{gathered} I=\text{Interest} \\ P=P\text{rincipal} \\ r=\text{Rate} \\ t=\text{time in years} \end{gathered}[/tex]

The following were given in the question

[tex]\begin{gathered} P=\text{ \$3300} \\ r=5.3\text{ \%} \\ t=8\text{months}=\frac{8}{12}\text{years}=\frac{3}{4}=0.75\text{years} \end{gathered}[/tex]

Substitute the given into the formula to get the value of the interest as shown below

[tex]I=\frac{\text{Prt}}{100}=\frac{3300\times5.3\times0.75}{100}[/tex][tex]\begin{gathered} I=\frac{13117.5}{100} \\ I=131.175 \end{gathered}[/tex]

Hence, the simple interest earn is $131. 175

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