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Separate 150 into two parts such that 4 times the larger exceeds (is more that) 5 times the smaller by 60.

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Nancy B. Kindy won $200,000 in a state lottery. She first paid income tax of 30% on the winnings. Of the rest, she invested some at 1.5% and some at 4%, earning $4350 interest per year. How much did she invest at each rate?

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Under what condition(s) would using the quadratic formula not be the easiest way to solve a quadratic equation?

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