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Kobotan [32]
2 years ago
10

Susan is extremely exited about starting her first job as a nurse. Her gross annual salary is $40,000. Susan contributes 10% of

her salary before taxes to a retirement account. Then she pays 25% of her remaining salary in state and federal taxes. Finally she pays $30 per month for health insurance. What is Susan’s annual take-hime pay?
Mathematics
1 answer:
choli [55]2 years ago
4 0

Answer:

$2,6640

Step-by-step explanation:

first find the amounts she gives up:

Retirement account: 10/100 x 40000 = $4000

state federal tax: 25/100 x (40000 - 4000) = $9000

Health insurance: $30 x 12months = $360.

Now find the sum of these and subtract from 40,000 = 40000-13360 = $2,6640

Hope this helps

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Find the missing angles for every point here
dimulka [17.4K]

In order to find the missing angles, we can see that vertically opposite angles and corresponding angles are equal.

46° + 82° + No. 4 = 180°

No. 4 = 180° - 128° = 52°

Therefore: No. 4 = No. 1 = 52° (vertically opposite angles)

<h3>What is angle?</h3>

In geometry, an angle is actually known to be the figure that is created by two rays that actually meet at an end point that is common to the both rays. It is represented by the symbol: ∠.

So, we can see that:

Line a || Line b and Line c || Line d

46° = 7 (corresponding angles)

So, 46° + 82° + No. 4 = 180°

Thus, No. 4 = 180° - 128° = 52°

Therefore:

No. 4 = No. 1 = 52° (vertically opposite angles)

No. 2 = 180° - 52° = 128° (angles on a straight line)

No. 2 = No. 3 = 128° (vertically opposite angles)

No. 7 = No. 6 = 46° (vertically opposite angles)

No. 8 = 180° - 46° = 134° (angles on a straight line)

No. 8 = No. 5 = 134° (vertically opposite angles).

82° = No. 11 (vertically opposite angles)

No. 9 = 180° - 82° = 98° (angles on a straight line)

No. 9 = No. 10 = 98° (vertically opposite angles)

No. 9 = No. 15 = 98° (alternate angles)

No. 13 = No. 15 = 98° (vertically opposite angles)

No. 12 = No. 14 = 82° (vertically opposite angles)

46°= No. 17 (vertically opposite angles)

No. 18 = 180° - 46° = 134° (angles at a point)

No. 18 = No. 16 = 134° (vertically opposite angles)

No. 19 = 180° - (46° + 82°) = 52° (sum of angles in a triangle)

No. 19 = No. 22 = 52° (vertically opposite angles)

No. 20 = 180° - 52° = 128° (angles on a straight line).

No. 20 = No. 21 = 128° (vertically opposite angles)

No. 25 = No. 2 = 128° (corresponding angles)

No. 25 = No. 24 = 128° (vertically opposite angles)

No. 23 = No. 26° (vertically opposite angles).

So, all the angles are:

1= 52°

2= 128°

3= 128°

4= 52°

5= 134°

6= 46°

7= 46°

8=134°

9= 98°

10= 98°

11= 82°

12= 82°

13= 98°

14= 82°

15= 98°

16= 134°

17= 46°

18= 134°

19= 52°

20= 128°

21= 128°

22= 52°

23= 52°

24= 128°

25= 128°

26= 52°

Learn more about angles on brainly.com/question/26167358

3 0
2 years ago
loria has some dimes and quarters. If she has 18 coins worth a total of $2.25, how many of each type of coin does she have?
VashaNatasha [74]

Answer:

dimes: 5

quarters:8

Step-by-step explanation:

she has 2$ in quarters and $0.25 in dimes

8 0
2 years ago
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Jim drives his children to their sports activities outside of school. When he drives his son to baseball practice, it is a 6-km
trapecia [35]

Answer:

17.4 kilometers per week

Step-by-step explanation:

we know that

The number of kilometers that Jim drives a week is equal to the number of baseball practice multiplied by its round trip plus the number basketball practice multiplied by its round trip

Remember that

1\ km=1,000\ m

so

1,800\ m=1,800/1,000=1.8\ km

2(6)+3(1.8)=17.4\ km

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Solve by substitution 3x+y=3 and 7x+2y=1
balu736 [363]

3x + y = 3

7x + 2y = 1

First isolate one of the variables (x or y) in one of the equations.

Isolate "y" in the first equation(because it is the easiest to isolate) and substitute it into the second equation.

3x + y = 3      Subtract 3x on both sides

3x - 3x + y = 3 - 3x

y = 3 - 3x


7x + 2y = 1

7x + 2(3 - 3x) = 1     [since y = 3 - 3x, you can substitute (3-3x) for "y"]

Multiply/distribute 2 into (3 - 3x)

7x + (3(2) - 3x(2)) = 1

7x + 6 - 6x = 1

x + 6 = 1     Subtract 6 on both sides

x = -5


Now that you know "x", substitute it into one of the equations (I will do both)

3x + y = 3

3(-5) + y = 3       [since x = -5, you can plug in -5 for "x"]

-15 + y = 3    Add 15 on both sides

y = 18


7x + 2y = 1

7(-5) + 2y = 1

-35 + 2y = 1     Add 35 on both sides

2y = 36     Divide 2 on both sides

y = 18


x = -5, y = 18  or  (-5, 18)

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2 years ago
If f(x)=2x-4 find f(m+1)
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