You have $$12,500$ you want to invest for the next $30$ years. You are offered an investment plan that will pay you $7$ percent per year for the next $10$ years and $9\mathrm{.}5$ percent per year for the last $20$ years. How much will you have at the end of the $30$ years?

$$201,516,38$

$$209\mathrm{.}092\mathrm{.}54$

$$221,408\mathrm{.}97$