9. the deductions from emilys monthly net pay are federal income tax (fit) of $131, state income tax (sit)…

9. the deductions from emilys monthly net pay are federal income tax (fit) of $131, state income tax (sit) of 4.25% of gross, city income tax (cit) of 3.25% of gross, social security tax (sst) of 6.2% on her first $97,500. her earnings to date are $30,400. medicare tax is 1.45% of all income. she gets deducted $91 for health insurance, $20 for union dues, and $18 for charity. his monthly net pay is $2,546.69. find his monthly gross pay.\nnotes: net pay = gross pay - total deductions\n| | tax deductions |\n|----|----|\n| fit | 131 |\n| sit | 4.25% |\n| cit | 3.25% |\n| ss | 6.2% |\n| medicare | 1.45% |\n| medical | 91 |\n| union dues | 26 |\n| others | 18 |\n| total deductions | |

9. the deductions from emilys monthly net pay are federal income tax (fit) of $131, state income tax (sit) of 4.25% of gross, city income tax (cit) of 3.25% of gross, social security tax (sst) of 6.2% on her first $97,500. her earnings to date are $30,400. medicare tax is 1.45% of all income. she gets deducted $91 for health insurance, $20 for union dues, and $18 for charity. his monthly net pay is $2,546.69. find his monthly gross pay.\nnotes: net pay = gross pay - total deductions\n| | tax deductions |\n|----|----|\n| fit | 131 |\n| sit | 4.25% |\n| cit | 3.25% |\n| ss | 6.2% |\n| medicare | 1.45% |\n| medical | 91 |\n| union dues | 26 |\n| others | 18 |\n| total deductions | |

Answer

Explanation:

Step1: Calculate the total percentage of tax deductions

The tax - deduction percentages are: Social Security (6.2%), Medicare (1.45%), state income tax (4.25%), city income tax (3.25%). The sum of these percentages is $6.2%+1.45% + 4.25%+3.25%=15.15%$.

Step2: Let the gross pay be $x$.

The total non - tax deductions are $30 + 20+18 + 91=159$. The net pay formula is $Net\ pay=x-(0.1515x + 159)$. We know that the net pay is $2546.69$. So, $2546.69=x-(0.1515x + 159)$.

Step3: Simplify the equation.

First, expand the right - hand side: $2546.69=x - 0.1515x-159$. Combine like terms: $2546.69 = 0.8485x-159$.

Step4: Solve for $x$.

Add 159 to both sides of the equation: $2546.69 + 159=0.8485x$, which gives $2705.69 = 0.8485x$. Then, divide both sides by 0.8485: $x=\frac{2705.69}{0.8485}=3190$.

Answer:

$3190$