Suppose I am vehemently opposed to paying more than $$2,000$ in interest. To avoid this, I can put a larger down payment on my car loan. Say I want to buy a used Rolls Royce for $$95,000$ at $9\mathrm{.}12\%$ APR $($compounded monthly$)$ for $48$ months. I am fine with any payment. What amount should I put down to not pay more than $$2,000$ in interest $($to the nearest dollar$)?$

Hint: Use Solver in combination with a financial function to answer this.

Hint: Down payments are subtracted from the purchase amount $($i$.$e$.,$ purchase amount minus downpayment become present value$),$ and the present value minus the total paid over the loan is used to calculate the interest paid.

Question $10$ options:

There is not enough information to solve this.

$$18,736$

$$77,036$

$$13,979$

$$84,859$

None of these.