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Dmitriy789 [7]
3 years ago
7

You are paid $8.35/hr at your part time job. your deductions are FICA (7.65%), Federal tax withholding (9.15%), & state tax

withholding (7.5%). your travel expense are $6.30 per day worked. you work 16 hours over a 4-day period of time. what is your net income after travel expenses?
Thanks in advance!
Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0
Hi there:)

start off with the gross.
8.35×16=133.6
Total tax rate is
7.65+9.15+7.5=24.3%
Tax
133.6×0.243=32.4648
Subtract the tax from gross
133.6−32.4648=101.1352
Deducte your expenses
101.1352−(6.30×4)
=75.94 this is your net income

Hope it helps
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To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

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We know that the population, P(t), of China, in billions, can be approximated by P(t)=1.394(1.006)^t

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\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t

To find the population growing at the start of 2014 we say t = 0

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year

To find the population growing at the start of 2015 we say t = 1

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year

To convert billion to million you multiple by 1000

P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year

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