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Andre45 [30]
3 years ago
7

Hymie Caddiddle is a truck driver who earns $56,000 a year driving cross-country. He is single with no dependents. He pays $2,43

0 in yearly state taxes. What is the state income tax rate for his state?
Mathematics
2 answers:
BARSIC [14]3 years ago
4 0
In order to solve this problem, we need to figure out what percent 2,430 is of 56,000.  We do this by dividing 2,430 by 56,000.  This is equal to 0.04339.  We multiply this by 100 to get a percent.  This is equal to 4.339%, so the tax rate is 4.339%.
White raven [17]3 years ago
3 0

Answer:

State income tax rate for his state is 4.34 % .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

Hymie Caddiddle is a truck driver who earns $56,000 a year driving cross-country.

He is single with no dependents. He pays $2,430 in yearly state taxes.

Part value = $2430

Total value = $56000

Putting all the values in the formula

Percentage = \frac{2430\times 100}{56000}

Percentage = \frac{243000}{56000}

Percentage = 4.34 % (Approx)

Therefore the state income tax rate for his state is 4.34 % .

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Answer:

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Step-by-step explanation:

Given the points on the line

  • (6, 10)
  • (a, 8)
  • (4, b)
  • (2, 2)

Given that all of the points are on the same line and the line represents a linear function.

Thus, the slope between any two points must be the same.

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(x₁, y₁) = (6, 10)

(x₂, y₂) = (2, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 10] / [2 - 6]

               = -8 / -4  

               = 2

Thus, the slope of the line = m = 2

Determine the value 'a'

(x₁, y₁) = (6, 10)

(x₂, y₂) = (a, 8)

Using the slope formula to determine the value of 'a'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [8 - 10] / [a - 6]

2(a - 6) = 8 - 10

2a - 12 = -2

2a = -2 + 12

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divide both sides by 2

a = 5

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(x₁, y₁) = (2, 2)

(x₂, y₂) = (4, b)

Using the slope formula to determine the value of 'b'

Slope =  [y₂ - y₁] /  [x₂ - x₁]

As the slope between two points is 2.

now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula

Slope =  [y₂ - y₁] /  [x₂ - x₁]

2 = [b - 2] / [4 - 2]

2(4 - 2) = b - 2

8 - 4 =b - 2

4 = b - 2

b = 6

Therefore, the value of b = 6

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