How much would $$1,$ growing at $13\mathrm{.}7\%$ per year, be worth after $75$ years?

Group of answer choices

$$12,773\mathrm{.}62$

$$15,206\mathrm{.}70$

$$15,054\mathrm{.}63$

$$11,861\mathrm{.}22$

$$12,469\mathrm{.}49$