Suppose your aunt opens a savings account on your name and deposits $$1,000$ at the end of each year for $9$ years. The account earns an interest rate of $4\%.$ After the final deposit, you move the accumulated savings to your brokerage account and invest in the stock market, where they earn an average return of $8\%$ for the following $5$ years. How much will you have in your account at the end?

a$.$ $$29,229\mathrm{.}1$

b$.$ $$38,085\mathrm{.}4$

c$.$ $$42,947\mathrm{.}1$

d$.$ $$55,960\mathrm{.}0$

e$.$ $$72,476\mathrm{.}0$