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mrs_skeptik [129]
3 years ago
7

Rick O'Shea, the only employee of Hunter Furniture Company, makes $30,000 per year and is paid once a month. For the month of Ju

ly, his federal income taxes withheld are $180, state income taxes withheld are $37, social security tax is 6.2%, Medicare tax is 1.45%, State Unemployment Tax is 4%, and Federal Unemployment tax is 0.6%. What is Rick's net pay for July?
Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

  $1976.25

Step-by-step explanation:

Rick's monthly pay is $30,000/12 = $2500.

His total deductions are ...

  180 + 37 + (6.2% +1.45% +4% +0.6%)(2500) = 217 +12.25%(2500)

  = 217 +306.25 = 523.25

Rick's net pay is the difference ...

  $2500 -523.25 = $1976.25 . . . . net pay for July

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Answer:

ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}

The confidence level is 0.98 and the significance is \alpha=1-0.98 =0.02 and \alpha/2 =0.01 and the critical value using the table is:

z_{\alpha/2}= 2.326

And replacing we got:

ME=2.326 \frac{425}{\sqrt{22}}= 210.760\ approx 210.76

Step-by-step explanation:

For this case we have the following info given:

\sigma = 425 represent the population deviation

n =22 the sample size

\bar X =1520 represent the sample mean

We want to find the margin of error for the confidence interval for the population mean and we know that is given by:

ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}

The confidence level is 0.98 and the significance is \alpha=1-0.98 =0.02 and \alpha/2 =0.01 and the critical value using the table is:

z_{\alpha/2}= 2.326

And replacing we got:

ME=2.326 \frac{425}{\sqrt{22}}= 210.760\ approx 210.76

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1

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