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ch4aika [34]
2 years ago
9

Marissa recently started working part time for a store that pays her $10. 80 per hour. She is expected to work a total of 19 hou

rs per week. She will have the following deductions made from her gross pay for the week: Social Security (6. 2%) Medicare (1. 2%) State Income Tax (2. 5%) Federal Income Tax (12%) How much will her net paycheck be for the week?.
Mathematics
1 answer:
Pavel [41]2 years ago
7 0

If Marissa get  $10. 80 per hour. and She work a total of 19 hours per week. and if She will have the following deductions made from her gross pay for the week: Social Security (6. 2%) Medicare (1. 2%) State Income Tax (2. 5%) Federal Income Tax (12%) then her net pay-check be for the week is $160.26

<h3>What is percentage ?</h3>

Percentage is a number or ratio expressed as a fraction of 100.

Given that per hour salary is $10.80

and she works 19 hours a week

so per week salary =19\times10.80=205.2\\

Now she have following deduction

Social Security (6.2%)

Medicare (1. 2%)

State Income Tax (2. 5%)

Federal Income Tax (12%)

So total  deduction = 6.2+1.2+2.5+12=21.9%

Remaining after deduction =100-21.9=78.1%

So her net pay-check for the week can be calculated as

\frac{78.1}{100} \times205.2\\\\\\=160.26

If Marissa get  $10. 80 per hour. and She work a total of 19 hours per week. and if She will have the following deductions made from her gross pay for the week: Social Security (6. 2%) Medicare (1. 2%) State Income Tax (2. 5%) Federal Income Tax (12%) then her net pay-check be for the week is $160.26

To learn more about Percentage visit : brainly.com/question/24304697

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A rectangular patio has an area of 91 fl. The length is 6 feet
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Answer:

Total area equation = tex]w(w+6)=91[/tex]

b/2 = 3

Dimensions of the patio: width = 7 feet, length = 13 feet

Step-by-step explanation:

The area of a rectangle is given the formula:

A=wl

where

w is the width

l is the length

We know from our problem that the area of the patio is 91 square feet, so A=91. We also know that the length is 6 feet longer then the width, so l=w+6.

Replacing values in our area equation

A=wl

91=w(w+6)

w(w+6)=91

Expanding the left side:

w*w+6w=91

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Remember that to complete the square we need to add half the coefficient of the linear term squared. The lineal term is w, so its coefficient is 6. Now, half its coefficient or \frac{b}{2} =\frac{6}{2} =3. Finally, 3^2=9.

To complete the square we need to add 9 to both sides of the equation:

w^2+6w+9=91+9

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Notice that the left side is a perfect square trinomial (both w^2 and 9 are perfect squares), so we can express it as:

(w+3)^2=100

Now that we completed the square, we can solve our equation

- Take square root to both sides

\sqrt{(w+3)^2} =\pm\sqrt{100}

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- Subtract 3 from both results

w=10-3,w=-10-3

w=7,w=13

Since length cannot be negative, w=7 is the solution of our equation.

We now know that the width of our rectangular patio is 7 feet, so we can find its length:

l=w+6

l=7+6

l=13

We can conclude that half the coefficient of the width is \frac{b}{2}=3, the width of the patio is 7 feet, and its length is 13 feet.

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Andy is correct! Andy has the function 4, his leading coefficient is negative, and his functions contains zeros. Hope this helps!

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