You are considering buying a $2023$ Tesla Model $3.$ The sticker price is $$45,000$ and you have $$10,000$ to put toward as down payment. If you can negotiate a nominal annual interest rate of $6\%$ and you wish to pay for the car over a $5-$year period, what are your monthly car payments?

$$650\mathrm{.}15$

$$216\mathrm{.}67$

$$676\mathrm{.}65$

$750\mathrm{.}00$

$$580\mathrm{.}33$