Aaron invested $4000 in an account that paid an interest rate r compounded quarterly. after 10 years he has $5809.81. the compound interest formula is a=p (1 +r/n)^nt, where p is the principal (the initial investment), a is the total amount of money (principal plus interest), r is the annual interest rate, t is the time in years, and n is the number of compounding periods per year.

a. divide both sides of the formula by p and then use logarithms to rewrite the formula without an exponent. show your work.

b. using your answer for part a as a starting point, solve the compound interest formula for the interest rate, r.

c. use your equation from part a to determine the interest rate.