Suppose you have $$2,200$ and plan to purchase a $10-$year certificate of deposit $($CD$)$ that pays $10\mathrm{.}2\%$ interest, compounded annually. How much will you have when the CD matures?

a$.$ $$2,424\mathrm{.}40$

b$.$ $$5,272\mathrm{.}99$

c$.$ $$6,451\mathrm{.}48$

d$.$ $$5,949\mathrm{.}45$

e$.$ $$5,810\mathrm{.}84$