can some please help me with a math problem?

Question

determine the interest rate on a loan of $5400 if interest is compounded monthly for 72 months and finals of loan is $6965.35.

list the values you used for present values, future values, number of years and numbers of compounding periods per year.

Answer 1

6965.35 = 5400(1+r/12)^12(72/12)

6965.35/5400 = (1+r/12)^72

72nd root of 1.29 = 1-r/12

r/12 = 1- (1.29)^(1/72)

r = 12 - 12(1.29)^(1/72)

r = about .0425= 4.25%

PV = $5400

FV = $66563.35

compounding periods per year = n = 12

years = 72/12 = 6

interest rate= r= 4 1/4%