APR question for math 120

Question

Quick Loans will loan you $700 with the understanding that you will repay them $752 in two weeks. What is the APR for this loan?

State your answer as a percent, rounded to the nearest whole percent, but do not include a % symbol with your response.

Answer 1

752=700(1+r)^t where t=2/52= 1/26 of a year, r=APR

752/700

=188/175 = (1+r)^1/26

(188/175)^26= 1+r

r = (188/175)^26 - 1 = about 6.4434 -1

= 5.4434= 544.43%

APR = 544