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15% of an employee’s taxable income is collected each paycheck. before taxes are removed from each paycheck $350 of the tax-exempt expenses is taken out. if the variable X represents employees pay before tax exempt expenses and taxes are removed which expression represents employees take-home pay after these deductions

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Answer

0.85X + 52.50

Explanation

Let the amount before tax exempt expenses and taxes are removed = X

This is the gross pay.

Tax deducted = 15% of (X - 350)

                       = 15/100 × (X - 350)

                       = 0.15(X - 350)

                         = 0.15X - 52.5

Take away home = X - (0.15X - 52.5)

                            = X - 0.15X + 52.5

                             = 0.85X + 52.50

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