James purchased a farm with a down payment of $$8500$ and $48$ semi$-$annual payments of $$3000.$ The first of these payments is to be made two years after the date of purchase. What was the purchase price of the farm if the interest rate charged on the balance is $14\%$ compounded semi$-$annually? $$39\mathrm{.}924\mathrm{.}74$ $$31,424\mathrm{.}74$ $$41\mathrm{.}191\mathrm{.}42$ $$42\mathrm{.}124\mathrm{.}47$