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Veronika [31]
4 years ago
7

6x+2y=24 in function form

Mathematics
1 answer:
Mariana [72]4 years ago
6 0
<span>6x+2y=24

2y=24-6x  (÷2)

y=12-3x

f(x)=12-3x</span>
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Find the federal income tax of a married couple with two children, who have a combined income of $100,000.
Galina-37 [17]

Answer:

 $9,937.50

Step-by-step explanation:

Given

Total income of a married couple = $100,000

Number of children the couple has = 2

The taxable income of the family can be calculated by

Taxable income = total income - exemption deduction - standard deduction

We know that the exemption deduction for a married couple with two children as fixed by the U.S. government is $15,600.

And the standard deduction for a married couple with two children as fixed by the U.S. government is $12,200.

Thus the taxable income can be calculated by

Taxable income = total income - exemption deduction - standard deduction

                           = $100,000 - $15,600 -  $12,200

                           = $72,200.

So the taxable income is $72,200.

Now if the taxable income is in the range between

$17,850 to $72,500, the tax is $1,785 plus the marginal rate of 15% of the amount of $72,200 that is over $17,850.

Now in order to calculate tax ---

add $1,785 plus the marginal rate of 15% of the amount of $72,200 that is over $17,850.

Now deducting $17,850 from $72,200 will give $54,350.

So 15% of $54,350 is $8152.50

Therefore add $1,785 and $8,152.50 = $9,937.50

Therefore the tax payed by the couple is $9,937.50

7 0
4 years ago
A rectangle has a width that is 50% of its length. The length of the rectangle is 12 inches. What is the area of the rectangle.
Stells [14]

Answer:

72 inches²

Step-by-step explanation:

Let w be equal to the width of the rectangle.

Let l be equal to the length of the rectangle.

\frac{1}{2}l=w

Plug in 12 inches as the length

\frac{1}{2}(12)=w\\6=w

Therefore, the width of the rectangle is 6 inches.

A=lw

Plug in 12 inches as the length and 6 inches as the width.

A=(12)(6)\\A=72

Therefore, the area of the rectangle is 72 inches².

I hope this helps!

7 0
3 years ago
Select all the statements that describe the expression 5+2x.
ivanzaharov [21]

Answer:

  • <em><u>The expression represents the sum of 5 and 2x.</u></em>
  • <em><u>The expression represents 5 plus x plus x.</u></em>
  • <em><u>The expression represents 5 plus 2 times x.</u></em>
5 0
3 years ago
a large balloon in the shape of a sphere is being filled with helium. The balloon has a radius of 1 foot. Helium costs $0.80 per
zhenek [66]

Answer:

$3.35

Step-by-step explanation:

volume of balloon in the shape of sphere= 4/3 * pi * r^3 = 4.189 cubic foot

cost of 1 cubic foot of helium = 0.8

cost of 1 * 4.189 cubic foot of helium = 0.8 * 4.189 = 3.35

4 0
3 years ago
usally ellis rides his bycecle 5 4/5 miles a day. today he rode half his usual distance how far did he ride
Tcecarenko [31]

Answer:

2.9

Step-by-step explanation:

Because you divide 5 4/5 by 2 and get 2.9

4 0
3 years ago
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