(a) If $1000 is borrowed at 8% interest, find the amounts due at the end of 3 years if the interest is compounded (i) annually, (ii) quarterly. (iii) monthly, (iv) weekly, (v) daily, (vi) hourly, and (vii) continuously.
(b) Suppose $ 1000 is borrowed and the interest is compounded continuously. If A(t) is the amount due after t years, where 0 ≤ t ≤ 3, graph A(1) for each of the interest rates 6%, 8%, and I 0% on a common screen.
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