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.