Dave Krug finances a new automobile by paying $$6,400$ cash and agreeing to make $30$ monthly payments of $$420$ 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)$

Note: Use appropriate factor$($s$)$ from the tables provided. Round "Table Factor" to $4$ decimal places.

$\backslash$table$[[$Monthly Payment,,,$\backslash$table$[[$Present Value of$],[$Loan$]]],[$Table Values are Based on:$,,,,],[,,,,],[,,,,]]$