Three years ago, you invested $$12,000$ in a certificate of deposit $($CD$)$ with a bank, which promised to pay compound interest of $3\mathrm{.}5\%$ per year. Interest rates have gone up since then, and this year you'll be able to reinvest your money $($the amount you invested in the original $CD,$ plus all of your interest earnings$)$ into another $CD,$ which will pay $5\mathrm{.}5\%$ compound interest per year, for the next two years. Given these interest rates, what will be the total value of your investment $($i$.$e$.,$ how much money will you have$)$ when the second CD matures $($ends$)$ two years from now?