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
G - 0.24G - 0.06G = 989.5
Solve this equation to find your gross income. Round the answer to the nearest dollar.
_______ per month
G - 0.24G - 0.06G = 989.5
G - 0.3G = 989.5
0.7G = 989.5
G = 989.5/0.7
G = 1413.57 = 1,414
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To solve the equation G - 0.24G - 0.06G = 989.5 and find your gross income, you need to combine like terms and isolate the variable G.
First, let's simplify the equation by combining the terms with G.
G - 0.24G - 0.06G can be rewritten as (1 - 0.24 - 0.06)G, or 0.7G.
So the equation becomes:
0.7G = 989.5
Next, divide both sides of the equation by 0.7 to isolate G:
(G / 0.7) = (989.5 / 0.7)
Simplifying further:
G = (989.5 / 0.7)
Now, divide 989.5 by 0.7 to find the value of G:
G ≈ 1413.57
Rounding the answer to the nearest dollar, your gross income is approximately $1,414 per month.