Dave Krug finances a new automobile by paying $$6,800$ cash and agreeing to make $20$ monthly payments of $$470$ each, the first payment to be made one month after the purchase. The loan bears interest at an annual rate of $12\%.$ What is the cost of the automobile? $($PV of $$1,$ FV of $$1,$ PVA of $$1,$ and FVA of $$1)$