solve this problem in order and show all work!

10 John will make five deposits, of $X each, at the beginning of each of the next five years, into a fund that earns a nominal rate of discount of 8% convertible semiannually. The fund must provide for a perpetuity of annual payments of $100 beginning at the end of the 6th year and increasing by $50 each year. Determine the smallest amount X can be. (CAS 5/96 #6] 10 John will make five deposits, of $X each, at the beginning of each of the next five years, into a fund that earns a nominal rate of discount of 8% convertible semiannually. The fund must provide for a perpetuity of annual payments of $100 beginning at the end of the 6th year and increasing by $50 each year. Determine the smallest amount X can be. (CAS 5/96 #6]