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const2013 [10]
4 years ago
14

Layla lives in Colorado and works as a teacher earning $55,000 a year. Her brother A.J. lives in Nevada and works as a teacher,

too, earning the same amount. Layla pays 4.63 percent of her yearly income, or $2,546.50, to the state of Colorado in income taxes. Colorado uses these taxes to pay for public services such as school, police, and sanitation. A.J. pays 0 percent of his yearly income to the state of Nevada in income taxes. Yet his town has schools, police, and sanitation services. Why does this happen?
Mathematics
1 answer:
likoan [24]4 years ago
7 0

Answer:

<u>Because Nevada is one of the seven states where residents no pay income tax, no matter how much you make. This decision is compensated with a higher-than-average sales tax.</u>

Step-by-step explanation:

1. Let's check the information provided to us to answer the question correctly:

Layla annual earnings = US$ 55,000

A.J. annual earnings = US$ 55,000

Income tax rate paid by Layla = 4.63%

Income tax rate paid by A.J. = 0%

2. Colorado uses these taxes to pay for public services such as school, police, and sanitation. A.J. pays 0 percent of his yearly income to the state of Nevada in income taxes. Yet his town has schools, police, and sanitation services. Why does this happen?

Because Nevada is one of the seven states where residents no pay income tax, no matter how much you make. This decision is compensated with a higher-than-average sales tax.

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A company makes traffic signs one of those signs can be modeled by an equilateral triangle with the perimeter of 144 inches the
barxatty [35]

Answer:

The height of the larger traffic signs is 51.96 inches

Step-by-step explanation:

Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches

Now, A company makes similar traffic signs of perimeter 1.25 of original

New perimeter will be 1.25x144=180 inches

Let triangle ABC be a larger triangle with 180inches of the perimeter.

It is given that the triangle is an equilateral triangle,

Therefore, Side AB=BC=AC

The perimeter of a triangle ABC is

AB+BC+AC=180

3AB=180

AB=60 inches

Figure show that triangle ABC and AD is the height of the triangle.

Since, the triangle ABC is an equilateral triangle,

AD is the perpendicular bisector of BC

so that,

BD=DC and Angle ADB=90

In right triangle ADB,

Angle D =90 and Angle B =60

Side BD=60/2=30 inches and AB=60 inches

Using Pythagoras theorem,

AD^{2} +BD^{2} =AC^{2}

(AD)^{2} +(30)^{2} =60^{2}

(AD)^{2} =60^{2}-(30)^{2}

AD=51.96 inches

Thus, The height of the larger traffic signs is 51.96 inches

4 0
3 years ago
If PQRS is a rhombus, find PQR.
labwork [276]
PQR is most likely a triangle
5 0
3 years ago
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When I...
valentina_108 [34]

Answer:

11

Step-by-step explanation:

Work backwards and reverse the operations to find the original number.

Reverse the operations for add four: 8 - 4 = 4

Reverse the operations for take the square root: 4² = 16

Reverse the operations for subtract six: 16 + 6 = 22

Reverse the operations for double the number: 22 ÷ 2 = 11

4 0
3 years ago
Which of the x-values are solutions to both of the following inequalities? 60 &gt; X and x &gt; 57. Also, Please hurry I will gi
PolarNik [594]

Answer:

B

Step-by-step explanation:

x must be a number between 60 and 57 and those numbers are 58 or 59

60 is greater than 59, and 59 is greater than 57

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The vertices of triangle PQR are P(10,-6), Q(6,2), &amp; R(4,-1). Describe a translation that places the image of the triangle e
Gnoma [55]

Answer:

Translate 7 units up and then translate 11 units to the left.

Step-by-step explanation:

We have the triangle PQR having co-ordinates (10,6), (6,2) and (4,-1).

It is required to translate ΔPQR so that the resulting image is completely inside the 2nd quadrant.

So, for that we will apply the following sequence of translations:

1. Translate 7 units up.

This will give us the figure in the 1st quadrant having co-ordinates (10,1), (6,9) and (4,6).

2. Translate 11 units to the left

We will get the final triangle P'Q'R' with the co-ordinates P'(-1,1), Q'(-5,9) and R'(-7,6) as shown below.

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