You take out a 60-day loan for $4800At the end of the loan , you owe $63.12 in interest What is the annual percentage rate? Round your answer to the nearest tenth of a percent

Respuesta :

Explanation

The simple interest is given by the formula below;

[tex]S.I=\frac{PRT}{100}[/tex]

Where

[tex]\begin{gathered} P=4800\text{ dollars} \\ R=? \\ I=63.12\text{ dollars} \\ T=60days=\frac{60}{365}years \end{gathered}[/tex]

Therefore, we will have;

[tex]\begin{gathered} 63.12=\frac{4800\times r\times60}{100\times365} \\ switch\text{ sides} \\ \frac{4800r\times \:60}{100\times \:365}=63.12 \\ 4800r\times\:60=63.12\times100\times365 \\ 288000r=2303880 \\ r=\frac{2303880}{288000}\approx8.0 \end{gathered}[/tex]

Answer: 8.0 percent