Question 175840: A company has an income of $100,000 before paying taxes and a bonus. The bonus B is to be 20% of the income after deducting income taxes T but before deduction the bonus. So
B=0.20(100,000-T)
Because the bonus is a deductible expense, the amount of income tax T at a 40% rate is 40% of the income after deducting the bonus. So
T=0.40(100,000-B)
*Solve the system algebraically to find the bonus and the amount of tax.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! T=0.40(100,000-B)
*Solve the system algebraically to find the bonus and the amount of tax.
T=0.40(100,000-B)
*Solve the system algebraically to find the bonus and the amount of tax.
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Tax = 40,000 - 0.4B
Bonus = (40,000-Tax)/0.40
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Cheers,
Stan H.
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