Answer:
Step-by-step explanation:
See attached.
What is the next number in the sequence? 7….10….16….28…?
2 answers:
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Answer:
Step-by-step explanation:
Given:
- Profits earned = $ 60, 000
- Bonus after tax = 5%
- State tax after bonus is = 5%
- Federal tax after bonus and state tax is = 40%
Find:
A linear equation system to find the amounts paid in bonuses, state tax, and federal tax.
Solution:
Define variables:
- x_1 : amount paid for bonuses
- x_2: amount paid for state tax
- x_3: amount paid for federal tax
- Since bonuses are paid after taxes at 5 %:
x_1 = 0.05(60,000 - x_2 - x_3)
3000 = x_1 + 0.5x_2 + 0.5x_3
- State taxes are paid after bonuses:
x_2 = 0.05*(60000 - x_1)
x_2 + 0.05x_2 = 3000
- Finally federal tax are paid:
x_3 = 0.4*(60,000 - x_1 - x_2)
x_3 + 0.4x_2 + 0.4x_3 = 24,000
- Therefore the system is:
x_1 + 0.5x_2 + 0.5x_3= 3000
x_2 + 0.05x_2 = 3000
x_3 + 0.4x_2 + 0.4x_3 = 24,000
Therefore the system can be expressed as an equation below: