If 24% of your monthly pay is withheld for federal income taxes and another 6% is withheld for Social Security, state income tax, and other miscellaneous items, leaving you with $989.50 a month in take-home pay, then the amount you earned before the deductions were removed from your check is given by the equation


Solve this equation to find your gross income. Round the answer to the nearest dollar.

_______ per month

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To find the gross income before the deductions were removed, we can let "x" represent the gross income.

According to the question, 24% of the gross income is withheld for federal income taxes, and another 6% is withheld for Social Security, state income tax, and other miscellaneous items.

Therefore, the equation can be written as:

x - (0.24)x - (0.06)x = 989.50

Simplifying this equation, we have:

x(1 - 0.24 - 0.06) = 989.50

x(0.7) = 989.50

To solve for x, we can divide both sides of the equation by 0.7:

x = 989.50 / 0.7

x ≈ 1413.57

Rounding this to the nearest dollar, the amount you earned before deductions were removed is approximately $1414 per month.