Address the following questions appropriately.

State whether each of the following functions could be used as a function to represent the number of lives aged x (over the specified range of ages) in a hypothetical population (not necessarily human)? Ir = (1+x/2)3 (x20) II I =-log(x/ 100) (Ox 20 ) [3]On 30 June 1999 an annual premium 25-year endowment assurance policy was issued to a life aged 45 who was assumed to be subject to AM92 Select mortality rated down 5 years. Write down an expression in terms of annuities (in which all functions are based on AM92 mortality with no age adjustment) giving the net premium reserve per unit sum assured on 1 July 2004 for this policy, assuming that all premiums due by that date have been paid. [3]