need help with a math equation

Question

Loan of $5400 interest is compounded monthly for 72 months and the final amount of the loan is $ 6965.35.

Answer 1

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

A = P(1+r/n)^nt

(1+r/12)^72 = 6965.35/5400= about 1.29

1+ r/12 = 72nd root of 1.29

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

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

r= about 0.0425 = 4.25% annual interest rate

compounded monthly for 72 months