optimal value/maxium value from intrest

Project Description:

what is the optimal value of the scenario below?

andrew invested $150 at a certain rate of interest compounded annually for two years. if the accumulated value at the end of two years is $175 the rate of interest would be found by completing the following:

a = p (1 + r)t

175 = 150(1 + r)^2

(1 + r)^2 = 7/6

1 + r = square rt. (7/6)

r = square rt. (7/6) - 1

r = 0.0801 = 8.01%
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