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AnnyKZ [126]
3 years ago
11

In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0
(3,7) \ and  \ (4,-8)\\ \\ First \  find \ the \  slope \ of \ the \ line \ thru \  the \  points \: \\ \\ m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }  \\ \\m=\frac{-8-7}{4-3} =  \frac{-15}{1}=-15 \\ \\Now \  use \ y = mx + b \ with  \ either \  point \  to  \ find  \ b,  \ the \  y-intercept \ : \\ \\ y=mx+b \\ \\7=-15*3+b\\ \\7=-45 +b \\ \\b=7+45\\ \\b=52 \\ \\  y= - 5x+52 \ is \  the \  answer

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What is the equation of the line containing the points (3, 1), (9, 3), and (27, 9)?
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From the given points that are (3,1),(9,3),(27,9), we can say that x is three times of y. That is

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8x+20y=-120 as slope
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Step-by-step explanation:

8x+20y=-120

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3 0
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Social security tax that is 6.2% of her gross pay medicare tax that is 1.45% of her gross pay state tax that is 21% of her feder
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Marilyn's net pay will increase by $18.15 as her Federal Withholding Allowance increases from 3 to 4.

<h3>What is Federal Withholding Allowance?</h3>

A Federal Withholding Allowance is an exemption that lowers the amount of income tax you must deduct from an employee's paycheck.

Given: The following are the deductible computation:

  • For federal withholding allowance = 3:
  1. Social Security Tax: 6.2% of $810 = \frac{6.2\times810}{100} = $50.22
  2. Medicare tax : 1.45% of $810 = \frac{1.45\times810}{100} = $11.745
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Total = $67.068; deducted amount of his gross pay = $810 - $67.068 $742.932 (3 federal withholding).

  • For Federal Withholding Allowance = 4:
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Thus, as we can see from the calculations, the State taxes increased from $5.103 to $6.8704. Hence, the net pay increases by $18.15 as the federal allowance increases from 3 to 4.

To learn more about Federal Withholding Allowance, refer to the link: brainly.com/question/1212566

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