Fifty eight years ago, your grandmother invested $$4,500.$ Today, that investment is worth $$330,065\mathrm{.}11.$ What is the average annually compounded rate of return she earned on this investment?

a$)7\mathrm{.}69\%$

b$)$none of these answers are correct

c$)5\mathrm{.}84\%$

d$)11\mathrm{.}71\%$

e$)7\mathrm{.}9\%$