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LekaFEV [45]
3 years ago
7

Carol is a pet groomer whose yearly gross pay is $45,000. Her exemptions total $4,000 and the state tax rate is 3.5%. How much d

oes she pay in state taxes each month?
Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

  $119.58

Step-by-step explanation:

We expect Carol's annual tax bill to be the difference of her pay and exemption, multiplied by the tax rate:

  annual tax = ($45,000 -4,000) × 0.035 = $1,435

Then her monthly tax bill will be 1/12 of this:

  monthly state tax = $1435/12 = $119.58

Carol pays $119.58 in state taxes each month.

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Find the domain of the function algebraically:<br><br> <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D
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The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

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In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

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