Before paying employee bonuses and state and federal taxes, a company earns profits of $103,000. the company pays employees a bonus equal to 5% of after-tax profits. state tax is 5% of profits (after bonuses are paid). finally, federal tax is 40% of profits (after bonuses and state tax are paid). calculate the amounts paid in bonuses, state tax and federal tax.

The amounts paid in bonuses, state tax and federal tax is $ 2,855, $ 5008 and $ 38,055 respectively.

Step-by-step explanation:

This problem requires us to calculate the amounts paid in bonuses, state tax and federal tax. We can solve this problem with the help of math’s equation given below.

Let x be the amount of bonus than

x = 5% (103,000- x- 5% (103,000-x)- 40%(103,000- x- 5% (103,000-x)))

x = 0.05 (103,000 -x - 5,150 + 0.05x -41,200 + 0.4x + 2,060 - 0.02x)

x = 0.05 (58,710 - 0.57x)

x = 2,935.5 - 0.0285x

x = $ 2,855

State Tax = (103,000 -2,855)*5% = $ 5008

Federal tax = (103,000-2,855- 5,008) * 40% = $ 38,055

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200

this cant be answered without the graph. you may need to add it.