III. $(20$ marks: do $2$ out of $3)$

Mary is planning for her retirement, $5$ years from now. Her bank quotes her a $7\%$ annual interest rate if she will add $$200$ to her savings account at the end of every month for the next $5$ years. The interest on her savings will be compounded monthly. How much will Mary have in her bank account at the end of $5$ years? Show your work.