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loris [4]
2 years ago
15

John worked 43 hours last week. His hourly rate is $9.00. He has the following deductions taken from his pay: Social Security ta

x at the rate of 6.2 percent, Medicare tax at the rate of 1.45 percent, health insurance premiums of $15.00, and 401(k) contributions of 5 percent of gross pay. John also has federal income tax withheld at the rate of 10 percent. Federal taxes do not apply to the 401(k) contribution. John’s net pay for last week was
Mathematics
2 answers:
disa [49]2 years ago
6 0

Assuming John does not get premium pay for hours over 40, his pay will be ...

... 43 hours × $9.00 = $387

... - 6.2% × $387 = $23.99

... - 1.45% × $387 = $5.61

... - $15.00

... - 5% × $387 = $19.35

... - 10% × ($387 -19.35) = $36.77

... = $286.28 . . . . net pay after all the deductions

netineya [11]2 years ago
3 0

Answer:

$286.28

Explanation:

Working 43 hours at a rate of $9 per hour gives John

43(9) = $387 gross pay.

Social Security is 6.2% of gross pay; 6.2% = 6.2/100 = 0.062; this gives us a deduction of

387(0.062) = 23.994 ≈ $23.99

Medicare is 1.45% of gross pay; 1.45% = 1.45/100 = 0.0145; this gives us a deduction of

387(0.0145) = 5.6115 ≈ $5.61

Health insurance is a deduction of $15.

401(k) contributions are 5% of gross pay; 5% = 5/100 = 0.05; this gives us a deduction of

387(0.05) = $19.35

Federal tax is deducted <em>after</em> the 401(k) contribution.  This means the tax is going to be 10% of

387-19.35 = $367.65

10% = 10/100 = 0.1; this gives us a deduction of

367.65(0.1) = 36.765 ≈ $36.77

This gives John a net pay of:

387-23.99-5.61-15-19.35-36.77 = $286.28

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<span>The <u>correct answer</u> is:

This is the average number of days the house stayed on the market before being sold for $150,000.

Explanation<span>:

f(p) is defined as the average number of days a house stays on the market before being sold for price p (given in $1000).

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What are the solution(s) to the quadratic equation 50 – x2 = 0?

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We have to identify the function which has the same set of potential rational roots as the function g(x)= 3x^5-2x^4+9x^3-x^2+12.

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

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So, the rational roots are given by \frac{p}{q} which are as:

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Consider the first function given in part A.

f(x) = 3x^5-2x^4-9x^3+x^2-12

Here also, Let 'p' be the factors of 12

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Option A is the correct answer.

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