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JulijaS [17]
3 years ago
9

Sam Kramer earns an annual salary of $38,900. He is paid semimonthly. His personal exemptions total $4826. The state income tax

on taxable wages is 2% of the first $1000, 3% on the next $3000, 3. 5% on the nest $3000, and 4% on the amount over $7000. How much is deducted from Sam’s salary each pay period for state income tax?
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Step-by-step explanation:

we pay taxes of the income without the exemptions.

so, the tax-interresting amount is

38,900 - 4826 = $34,074

2% of the first $1000 = $20

$34,074 - 1000 = $33,074

3% of the next $3000 = $90

$33,074 - 3000 = $30,074

3.5% of the next $3000 = $105

$30,074 - 3000 = $27,074

4% of $27,074 = $1,082.96

so, in total he pays state taxes over a year

20+90+105+1082.96 = $1,297.96

now, he gets paid semimonthly, that means twice a month.

his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.

so, each state income tax deduction is then

$1,297.96 / 24 = $54.08 on every paycheck.

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What is the equation of the parabola?
irina1246 [14]

Because the parabola opens down and the vertex is at (0, 5), we conclude that the correct option is:

y  = -(1/8)*x² + 5.

<h3>Which is the equation of the parabola?</h3>

The relevant information is that we have the vertex at (0, 5), and that the parabola opens downwards.

Remember that the parabola only opens downwards if the leading coefficient is negative. Then we can discard the two middle options.

Now, because the parabola has the point (0, 5), we know that when we evaluate the parabola in x = 0, we should get y = 5.

Then the constant term must be 5.

So the correct option is the first one:

y  = -(1/8)*x² + 5.

If you want to learn more about parabolas:

brainly.com/question/4061870

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3 0
2 years ago
19. Luggage on a certain airline is limited to 2 pieces per person.
Mama L [17]

Answer: The second piece can weigh 256 pounds at most.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The sum of the weight of each piece of Luggage must be less or equal to 581 pounds:

x + 325 ≤581

Where x is the second piece's weight.

Solving for x:

x ≤581 -325

x ≤ 256

The second piece can weigh 256 pounds at most.

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
Please, I need help I'm way behind.
gregori [183]

Answer:

\frac{18√2}{√3}

Step-by-step explanation:

  1. The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
  2. The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
  3. We can get the length of the longest side of the bottom triangle is 9×2÷√3 = \frac{18}{√3}
  4. And based on the theory shown on the 2nd step, we can get x (the length of the longest side of the upper triangle) is \frac{18}{√3}x√2  
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4 years ago
What is the last operation to be performed when finding the value of this expression?
MArishka [77]

To find out the last operation, we must solve the entire problem.

We are given:

\frac{5+(-8)}{-3+(-9)(-6)}

Let's simplify the signs so they don't clutter our equation.

\frac{5-8}{-3+(-9)(-6)}

We always need to be sure to use PEMDAS. Since there is no expression to solve in parenthesis and no exponents are present, we will move on to multiplication. We can multiply -9 and -6 in the denominator. When we do that, we get:

\frac{5-8}{-3+54}

Next, all you need to do is combine like terms in the numerator and the denominator.

\frac{-3}{51}

Simplify.

-\frac{1}{17}

To answer the question, the last operation to be performed when finding the value would be division.

4 0
3 years ago
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
enyata [817]

Answer:

cosC = \frac{7}{25}

Step-by-step explanation:

cosC = \frac{adjacent}{hypotenuse} = \frac{BC}{AB} = \frac{7}{25}

8 0
3 years ago
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