Suppose you have $$2,275$ and plan to purchase a $5-$year certificate of deposit $($CD$)$ that pays $4\mathrm{.}1\%$ interest, compounded annually. How much will you have when the CD matures?

a$.$ $$2,786\mathrm{.}84$

b$.$ $$2,671\mathrm{.}68$

c$.$ $$2,781\mathrm{.}22$

d$.$ $$2,804\mathrm{.}71$

e$.$ $$2,368\mathrm{.}28$