fifteen percent of an employees taxable income is collected each paycheck. before taxes are removed from…

fifteen percent of an employees taxable income is collected each paycheck. before taxes are removed from each paycheck, $350 of tax - exempt expenses is taken out. if the variable x represents the employees pay before tax - exempt expenses and taxes are removed, which expression represents the employees take - home pay after these deductions?\no 0.15(x - 350)\no x - 0.15 - 350\no 0.85(x - 350)\no x - 0.85 - 350

fifteen percent of an employees taxable income is collected each paycheck. before taxes are removed from each paycheck, $350 of tax - exempt expenses is taken out. if the variable x represents the employees pay before tax - exempt expenses and taxes are removed, which expression represents the employees take - home pay after these deductions?\no 0.15(x - 350)\no x - 0.15 - 350\no 0.85(x - 350)\no x - 0.85 - 350

Answer

Explanation:

Step1: Calculate taxable income

The taxable income is the pay $x$ minus the tax - exempt expenses of $350$, so it is $x - 350$.

Step2: Calculate the amount of tax

The tax rate is $15%=0.15$. The amount of tax collected is $0.15(x - 350)$.

Step3: Calculate take - home pay

Take - home pay is the original pay $x$ minus the tax - exempt expenses and the tax amount. The amount of tax is $0.15(x - 350)$, and the tax - exempt amount is 350. So the take - home pay is $x-350 - 0.15(x - 350)=(1 - 0.15)(x - 350)=0.85(x - 350)$.

Answer:

$0.85(x - 350)$