You just leased a Chevy Bolt. The terms of the lease requires a down payment of $$2,000$ plus payments of $$300$ per month for $5$ years with the first payment due immediately. At the end of $5$ years you need to pay $$29,670.$ The interest rate is $3\mathrm{.}9\%$ compounded monthly. How much is the cash price $($selling price$)$ of the car?

options:

$$40,804$

$$42,751$

$$10,038$

$$42,804$

$$16,383$