(a) If $4,500 is invested at 1.55% interest, find the value (in dollars) of the investment at the end of 4 years if the interest is compounded as follows. (Round your answers to the nearest cent.)(1) annually$() quarterly$() monthly.$(iv) weekly$(v) daily$(vi) continuously$(b) If A(t) is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by A(t). (Let A represent A(t).)dAdt=Find the initial condition satisfied by A(t).A(0) =