You are buying a previously owned car today at a price of $$9,470.$ You are paying $$800$ down in cash and financing the balance for $36$ months at $7\mathrm{.}8$ percent, compounded monthly. What is your monthly payment amount?

$$239\mathrm{.}46$

$$332\mathrm{.}95$

$$270\mathrm{.}89$

$$258\mathrm{.}02$