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Suppose an initial investment of $100 grows according to the accumulated amount function A(t) = 100(1 + 0.05t) (t 0). (a) Find the effective rate

Suppose an initial investment of $100 grows according to the accumulated amount function A(t) = 100(1 + 0.05t) (t 0).
(a) Find the effective rate of interest earned during the 5th year i5.
(b) Find the force of interest (t).
(c) Find the average rate (= equivalent annual effective rate) of interest earned during the first five years.

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