please show all work and do not use excel or a financial calculator. The answer you get must be in the answer key posted at the bottom, thanks!

3. A company must pay liabilities of $1,000 due 6 months from now and another $1,000 due one year from now. There are two available investments: (a) 6-month zero-coupon bond, $1,000 face value and a 3% annual yield rate convertible semiannually. (b) 1-year bond, $1,000 face value, 5% nominal annual coupon rate convertible semiannually with a 6% annual yield rate convertible semiannually. Find the total cost of the bonds in order to exactly match the liabilities. Numerical answers (in random order): 6.955, 0.062, 4.5228, 6538.49, 0.04317, 2660.67, 50000, 400.36, 202.1, 3671.29, 1951.62, 4.4621