the two questions are related can someone show the steps mathematically to solve. no excel please!

3 5. Joe must pay liabilities of 2,300 due 6 months from now and another available investments. (a) a 6-month bond with face amount of 1,000, a 12% nominal annual vertible semiannually, and a 9% nominal annual yield rate convertible semiannually, and (b) a one-year bond with face amount of 1,000, a 2% nominal annual coupon rate convertible semiannually, and a 11% nominal annual yield rate convertible semiannually. How much of each bond should Joe purchase in order to exactly (absolutely) match the liabilities? 6. Using the information in problem 5, what is the annual effective yield rate for investment in the bonds required to exactly (absolutely) match the liabilities