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Korvikt [17]
3 years ago
7

Miss Blue's gross pay is $903.75. Assuming 7.65% social security withholding, how much should her employer withhold from her che

ck for social security?
Mathematics
2 answers:
Nonamiya [84]3 years ago
8 0

Miss Blue's gross pay is $903.75. Assuming 7.65% social security withholding, how much should her employer withhold from her check for social security?

The answer is 69.14


vesna_86 [32]3 years ago
7 0
Miss Blue's gross pay is 903.75 dollars.
=> the rate of the Social Security is 7.65%.
Now, let's solve for the amount that the employer should withhold from her salary.
=> 903.75 dollars * .0765 = 69.137 dollars will be deducted to her salary.
=> 903.75 dollars - 69.137 dollars = 834.61 dollars is the remaining of her salary.
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Write the equation of the circle below to complete the square. Also determine the area of the circle.
diamong [38]

Answer: (x-7)^2+(y+2)^2=11^2 ; A=121\pi

Step-by-step explanation:

I have never done a problem like this, so this is my first time attempting it.

The standard form for the equation of a circle is:

(x-a)^2+(y-b)^2=r^2

Begin by grouping the 'x' terms and 'y' terms:

(x^2-14x)+(y^2+4y-68)=0

Complete the square for the second polynomial:

(\frac{b}{2} )^2=(\frac{4}{2} )^2=4

(x^2-14x)+(y^2+4y+4-4-68)=0

(x^2-14x)+(y^2+4y+4)-4-68=0

(x^2-14x)+(y^2+4y+4)-72=0

(x^2-14x)+(y+2)^2-72=0

Do the exact same process with the other polynomial:

(x^2-14x-72)+(y+2)^2=0

Complete the square:

(\frac{14}{2} )^2=49

(x^2-14x+49-49-72)+(y+2)^2=0

(x^2-14x+49)-49-72+(y+2)^2=0

(x^2-14x+49)-121+(y+2)^2=0

(x-7)^2-121+(y+2)^2=0

Bring the 121 to the other side to get:

(x-7)^2+(y+2)^2=121

(x-7)^2+(y+2)^2=11^2

The above expression is the equation of our circle in standard form. It is centered at the coordinates (7, -2) and has a radius of 11 units. The area of a circle if given by:

A=\pi r^2=121\pi

8 0
1 year ago
Learn with an example
Daniel [21]

Answer: 10,000

11 * 2 = 22

5,000 * 2 = 10,000

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