Respuesta :

SOLUTION

To solve this we will use the simple interest formula

[tex]\begin{gathered} I=\frac{PRT}{100} \\ where,\text{ I = interest = \$60} \\ R=rate=4\%=\frac{4}{100}=0.04 \\ P=principal=? \\ T=time=90\text{ days } \end{gathered}[/tex]

But we will divide by 365 days because the time is in days, which is 90 days, so we have

[tex]\begin{gathered} I=\frac{PRT}{100\times365} \\ 60=\frac{P\times0.04\times90}{100\times365} \\ 60=\frac{3.6P}{36500} \end{gathered}[/tex]

cross multiplying we have

[tex]\begin{gathered} 3.6P=36500\times60 \\ P=\frac{36500\times60}{3.6} \\ P=608,333.33333333 \end{gathered}[/tex]

Hence the Principal is $608,333.33

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