# MTH 209 Week 2

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88. Area of a square. Find a polynomial A(x) that represents the area of the shaded region in the accompanying figure.

96. Compounded semiannually. P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1 + r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P = $200 and r = 10%.

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#### Solution Preview

The shaded region has a length of (x - 3) and a width of (x - 3). Thus it is a square.

Area = (x - 3)^2 = ...

#### Solution Summary

The expert finds the area of a square. The polynomial function that represents the area of the shaded region is determined. Complete, neat and step-by-step solutions are provided in the attached Word file.

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