a) If $1500 is borrowed at 6% interest, find the amounts due at the end of 3 years if the interest is compounded as follows. (Round your answers to the nearest cent.)
(i) annually
(ii) quarterly
(iii) monthly
(iv) weekly
(v) daily
(vi) hourly
(vii) continuously
b) Suppose $1500 is borrowed and the interest is compounded continuously. If A(t) is the amount due after t years, where , graph A(t) for each of the interest rates 6%, 8%, and 10% on a common screen.