PLEASE SOLVE BOTH QUESTIONS

2) You deposit $5,000 at t = 0 and $3,000 at t = 2 into a savings account. The account earns interest at an annual effective rate of 5% during the first 2 years, and in all subsequent years it earns continuously compounded interest at a varying force of interest 8(t) What t+1 is the account balance at the end of 5 years ? 2 a 3) = 6 (a) Given 8(t) find an expression for a(t). 2t +1' (b) Given a(t) = (t + 1)", find an expression for 8(t). =