(a) If $2000 is invested at 4% interest, find the value of the investment at the end of 7 years if the interest is compounded as follows. (Round your answers to the nearest cent.) (i) annually $ (ii) semiannually $ (iii) monthly $ (iv) weekly $ (v) daily $ (vi) continuously $ (b) If A is the amount of the investment at time t for the case of continuous compounding, write a differential equation satisfied by A. dA dt Find the initial condition satisfied by A. A(0) = Need Help? Read It Watch It