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Julli [10]
3 years ago
15

You are still debating about the two different computers. If you are paid $10.00/hour and your deductions are FICA (7.65%), fede

ral tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the new computer?
Include step by step
Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer:

89 hours

Step-by-step explanation:

First solve all the deductions.

For each multiply the $10, which you are paid, and the percentage.

For FICA: $10 x 0.0765 = $0.77 per hr

For Fed tax: $10 x 0.12 = $1.2 per hr

For State tax: $10  x 0.08 = $0.8 per hr

Now subtract the remaining pay:

10 – 0.77 – 1.2 – 0.8 = $7.23

Time required = $640 / $7.23 per hr

Time required = 89 hrs

Final answer:

89 hours

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The problem presented is an arithmetic sequence where:

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\text{The nth term}, T_n=a+(n-1)d\\T_n \leq 120\\$Therefore:$\\1+7(n-1) \leq 120\\1+7n-7\leq 120\\7n-6\leq 120\\7n\leq 120+6\\7n\leq 126\\$Divide both sides by 7$\\n\leq 18

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