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Firlakuza [10]
3 years ago
12

John is a High School principal. He earns $62,299.92 a year and is paid on a semimonthly basis. How much is deducted per pay per

iod for Social Security? How much for Medicare?
Mathematics
1 answer:
LenKa [72]3 years ago
8 0

Answer alongwith Step-by-step explanation:

<u>1. Social Security</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semimonthly gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using social security rate and annual income

Social security rate is 6.2%

Social Security Liability = 6.2% x $2595.83 = $160.94 semimonthly payments

Step 3 Find the social security liability using social security rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2 =

$321.88 per month

<u>2. Medicare</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semiannual Gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using Medicare rate and annual income

Medicare rate is 1.45%

Medicare Liability = 1.45% x $2595.83 = $37.64 semimonthly payments

Step 3 Find the social security liability using Medicare rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2

= $75.28 per month

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An article estimates, with 90% confidence, that the proportion of elementary school teachers who are female is 82%. The article
GREYUIT [131]

Answer:   (80% , 85%)

Step-by-step explanation:

We know that, confidence interval for population proportion is given by :-

(p-E , p+E)

, where p = sample proportion , E = Margin of error.

Given : Proportion of elementary school teachers who are female = 82%.

The article also states the maximum error of their estimate = 3%.

Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :

(82%-2% , 82%+3%)

= (80% , 85%)

Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)

5 0
3 years ago
Find the surface area of the cube shown.<br> (_________) square centimeters
Step2247 [10]

Answer:

The answer is: 181.5 square centimeters.

Step-by-step explanation:

The cube has six faces, and each face is a square with sides of length 5.5, so the area of one of this faces is 5.5^2=30.25, adding the six faces, we get the answer: A=6\times 30.25=181.5

5 0
3 years ago
Read 2 more answers
Identify the property used in the first five steps to solve the equation 2(x-5)-6x=-22
Alona [7]
To answer this question, you need to multiply the number inside the bracket first. Then you can move the number to the right side of the equal sign and keep the x on the left side of the equal sign. The step would be like this
2(x – 5) - 6x= -22(2x - 10) - 6x = -222x - 6x  = -22 +10-4x= -12x= -12/-4x=3
Hope this helps!!!
8 0
3 years ago
Read 2 more answers
Solve each given equation and show your work the whether each equation has one solution, an infinite number of solutions, or no
Triss [41]
2x+4x-4=2+4x
2x+4x-4x=2+4
2x=6
x=3

25-x=15-3x-10
3x-x= 15-10-25
2x= -20
x= -10

4x=2x+2x+5x-5x
2x+2x+5x-5x-4x
0 . no solution
8 0
2 years ago
One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average
Goshia [24]

Answer: 0.0930

Step-by-step explanation:

As per given , we have

H0: μcoffee = 6

Ha: μcoffee < 6

She finds z = −1.68 with one-sided P-value P = 0.0465.

The P-value for two-tailed test is calculated by :

2P(Z>|z|)

For z= -1.68 , we have

2P(Z>|-1.68|)=2P(Z>1.68)

=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]

=2(1-0.9535213)\ \ \ [\text{ NORM.S.DIST(z, TRUE}]\\\\=2( 0.0464787)=0.0929573\approx0.0930  

Hence, the correct two-sided P-value for z = −1.68 is 0.0930 .

3 0
3 years ago
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