5. (10 points] A loan L is repaid with twenty annual payments. The total amount of each payment is $1,200. The first payment occurring when the loan is made. Half the loan is an amortized loan with at annual effective interest rate of 8%. The other half of the loan is to be repaid by the sinking fund method with the lender receiving an annual effective interest rate of 7.5%, and the sinking fund account earning 3% annual effective interest. Find the amount L of the loan