Anthony expects to need $$85,000$ for a down payment on a house in six years. How much would he have to invest today in an account paying $5\mathrm{.}75$ percent in order to have $$85,000$ in six years?

a$)$ $$61\mathrm{.}282\mathrm{.}56$

b$)$ $$60\mathrm{.}451\mathrm{.}75$

c$)$ $$59,871\mathrm{.}42$

d$)$ $$60,779\mathrm{.}41$