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inessss [21]
3 years ago
10

A nurse has an income of $120,000. The income tax the nurse has to pay is 6%. What is the amount of income tax, in dollars and c

ents, that the nurse has to pay?
Mathematics
2 answers:
joja [24]3 years ago
6 0

Answer:

$7,200.00

Step-by-step explanation:

1. We assume, that the number 120000 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 120000 is 100%, so we can write it down as 120000=100%.

4. We know, that x is 6% of the output value, so we can write it down as x=6%.

5. Now we have two simple equations:

1) 120000=100%

2) x=6%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

120000/x=100%/6%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6% of 120000

120000/x=100/6

(120000/x)*x=(100/6)*x       - we multiply both sides of the equation by x

120000=16.6666666667*x       - we divide both sides of the equation by (16.6666666667) to get x

120000/16.6666666667=x

7200=x

x=7200

now we have:

6% of 120000=$7200

sleet_krkn [62]3 years ago
4 0

Answer:

7,200 I believe

Step-by-step explanation:

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vladimir2022 [97]

This question is about compound interest, but since the interest is such a small number you can use what you know about simple interest to eliminate some answers.

You can immediately eliminate choice A as a clunker, since it is less than the original amount in the account.

Consider what the amount of interest would be if you make the rate much larger than the original rate, say 10%, or 0.1:

$6,500 × 0.1 = $650

If this amount were added to the original amount each year for two years, the total would be:

$6,500 + $650 + $650 = $6,500 + $1,300 = $7,800

This is an over-estimate for the information given, and since choices C and D are even greater than this over-estimate, they can be eliminated. That means choice B is the correct answer.

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Step-by-step explanation:

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Your answer should be a polynomial in standard form (x-2)(x-1)= ?
fredd [130]
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3 years ago
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
To earn a prize sally had to sell at least 9 out of the 20 candy bars for the band fundraiser what percentage of the candy bars
Marina CMI [18]

Answer:

45%

trust me i took this test before

Step-by-step explanation:

8 0
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