You borrow $200 from a friend. You repay the loan in 2 weeks and agree to pay $8 for interest. What is the annual percentage rate? Round your answer to the nearest tenth of a percent.Rate = interest/principal x time

Respuesta :

From the given question

There are given that the principal value is $200 and time duration is 2 weeks and agree to pay $8 for interest

Now,

From the formula of annual percentage rate:

[tex]\text{APR}=((\frac{\frac{Fes+interest}{\text{principal}}}{n})\times365)\times100[/tex]

Then,

[tex]\begin{gathered} \text{APR}=((\frac{\frac{Fes+interest}{\text{principal}}}{n})\times365)\times100 \\ \text{APR}=((\frac{\frac{8}{200}}{2})\times365)\times100 \\ \text{APR}=((\frac{8}{400})\times365)\times100 \\ \text{APR}=((\frac{8}{4})\times365) \\ \text{APR}=2\times365 \\ \text{APR}=730 \end{gathered}[/tex]

Hence, the annual percentage rate is $730.

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