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inessss [21]
4 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]4 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]4 years ago
4 0

Answer:

7,200 I believe

Step-by-step explanation:

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John wants to measure the height of a tree.he walks exactly 100 ft from the base of the tree and looks up.the angle from the gro
kati45 [8]

Answer: The height of the tree is 64.94ft

Step-by-step explanation:

Using the trigonometry of angles

Tan theta = opposite/adjacent

Tan 33° = height of the tree/100

Height of the tree= tan 33° * 100

= 0.6494*100

= 64.94ft

The height of the tree is 64.94ft

6 0
3 years ago
4<br> 74<br> Solve the inequality 2(4x + 1) &lt;3(2x - 3)
Katena32 [7]

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

8x + 2 < 6x - 9

8x - 6x < -9 -2

2x < -11

x < -11/2

8 0
3 years ago
the long jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of wood to frame in the pit.
Keith_Richards [23]

Answer:

2

Step-by-step explanation:

8 0
4 years ago
On a number line, point S has coordinate 4.8 and point T has coordinate –2.3.
Ilya [14]

Answer:

The only answer that would work would be D) | 4.8 - ( -2.3) |

Step-by-step explanation:

This is because the distance is the absolute value of the difference of the two numbers. B and C would also work, but the 2.3 is not negative. A does not work because it is addition.

3 0
3 years ago
We used these functions to represent the two sides of the equation:
katrin [286]

The solution to the system of equation graphed is (-1, -3)

<h3>Solution to system of equation</h3>

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

3x = 4x + 1

3x - 4x = 1

-x = 1

x = -1

Determine the value of y

y = 3x

y = 3(-1)

y = -3

Hence the solution to the system of equation graphed is (-1, -3)

Learn more on system of equation here: brainly.com/question/847634

#SPJ1

4 0
2 years ago
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