SOLUTION: 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=0.2

Algebra.Com
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.
--------------
Tax = 40,000 - 0.4B
Bonus = (40,000-Tax)/0.40
============================
Cheers,
Stan H.

RELATED QUESTIONS

a company has an income of $100,000 before paying taxes and a bonus. the bonus B is to be (answered by richwmiller,palanisamy)
Please Help! I have no idea where to start. A company has an income of $100,000... (answered by dabanfield)
A company has income of $100,000 before paying taxes and a bouns. The bouns B is to be... (answered by rapaljer)
A company has an income of $100,000 before paying taxes and a bonus. The bonus B is to be (answered by richwmiller)
A study of 200 grocery chains revealed these incomes after taxes: Income after... (answered by ewatrrr)
When calculating his income tax an accountant realized that his federal tax was 30% of... (answered by Theo)
hen calculating his income tax an accountant realized that his federal tax was 40% of his (answered by ikleyn)
an engineering firm earns a monthly salary of $3457 and an annual bonus that is 16.3% of... (answered by robertb)
It's a Microeconomic question related to choice under uncertainty: Kate will earn... (answered by Alan3354)