Your computer store is having an incredible sale. The price on one model is reduced by 40%. Then the sale price is reduced by another 40%. If x is the computer’s original price, the sale price can be modeled by (x − 0.4x) − 0.4(x − 0.4x).
a. Factor out (x − 0.4x) from each term. Then simplify the resulting expression.
b. Use the simplified expression from part (a) to answer these questions. With a 40% reduction followed by a 40% reduction, is the computer selling at 20% of its original price? If not, at what percentage of the original price is it selling?
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