You have a summer job that pays double for working overtime. Overtime is determined as the
number of hours over 20 hours you work in ane week. Your regular pay is $5 per hour for the
first 20 hours you work in one week.
Write a piecewise function to represent the amount of your weekly paycheck p(h)​

Answers

Answer 1

Answer:

Step-by-step explanation:

For 20 hours a week, I earn $15 per hour, and I earn $15,600 annually. As noted on my W-4 form, I can assert my exemptions. Every year the Internal Revenue Service declares allowances for exemptions. A single person's current allowance for one exception is $3,950. I may assert another exemption for a partner of $ 3,950. At $3,950 each, I can also assert exemptions for any dependents. Suppose my contribution is 10 percent to a 401(k) retirement plan: $15,600-$1,560 = 14,040 dollars I am single, so on my W-4 form, I claimed one exemption which I submitted to my employer: 14,040-3,950 dollars = 10,090 dollars My gross revenue (minus exemptions and deductions) is therefore $ 10,090. Currently based on $10,090, I can measure the federal income tax, social security, and other withholdings My employer withholds federal tax, tax on social security, and tax on Medicare cash. For 2015, the federal income tax brackets are as follows: Tax Rate Taxable Income Levels 10% $0–$9,225 15% $9,226–$37,450 25% $37,451–$90,750 28% $90,751–$189,300 33% $189,301–$411,500 35% $411,501–$413,200 39.60% Above $413,200 The tax bracket for my income is 15 percent. However, I am not taxed 15 percent on the entire amount. I will be taxed 10 percent for the first $9,225 dollars earned. Then, I will be taxed 15 percent on the remaining amount: 10 percent of 9,225 = $922.50 15 percent of ($10,090 – $9,225) = $129.75 Total income tax = $1,522.25 Thus, my income minus federal tax ($10,090 – $1,522.25) is $9,037.75. The Social Security tax is 6.2 percent, and the Medicare tax is 1.45 percent. These taxes are calculated based on my gross income: 6.2 percent of $15,600 = $967.20 1.45 percent of $15,600 = $226.20 Thus, my net pay will be: $9,037.75 – (967.20 + 226.20) = $7,844.35.


Related Questions

what makes an equation true?

Answers

Answer:

Step-by-step explanation:

An equation is true when certain values are able to be substituted for the variable which is most of the time "x", the values that make an equation true is when the answer has a solution.

The rental of the ice is $75, plus $3 per skater. Write an expression for the cost in dollars for n skaters.

Answers

Answer:

f(n)=75+(n*3)

Step-by-step explanation:

A line passes through the point (4,-6) and has the slope of -3/4. Which is the equation of the line? y=-3/4x-3 y=-3/4x-6 y=-3x-3/4 y=-6x-3/4

Answers

use photomath it helps alot

Grouping 12x3 – 9x2 + 4x - 3?

Answers

[tex]12x^{3} - {9x}^{2} + 4x - 3 = \\ = 3 {x}^{2} (4x - 3) + 1(4x - 3) = \\ = (4x - 3)( {3x}^{2} + 1)[/tex]

Answer:4x+15

Step-by-step explanation: PEMDAS. First you multiply 12x3 and 9x2 so you get 36-18. Then you subtract 18 from 36 leaving you with 18. Then you combine 18 and -3, leaving you with 4x-15.

I would just like to say how happy I have been for getting answers from other people - it's been great!


Just one more question of the day!!!!


Can people please tell me what shapes they are mathematically.


Cheers


Jake

Answers

Answer:

Image A could be a Cylinder

Image B is a Tetrahedron

Step-by-step explanation:

Hope this helps : )

Plz help me with my school work.

Answers

Answer:

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

Step-by-step explanation:

There are several useful rules regarding angles:

right angles are 90°the sum of angles in a triangle is 180°angles of a linear pair are supplementary (total 180°)vertical angles are congruentan exterior angle is equal to the sum of the remote interior angles

This last observation is a consequence of the 2nd and 3rd observations.

__

angle ECD

Using the last observation, ∠ECD = 124° -90° = 34°.

angle HGB

Again, using the last observation, ∠HGB = 110° -90° = 20°.

angle GBH

There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...

  ∠GBH = 70° -34° = 36°

angle FGH

Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.

  ∠FGB +∠GBF +∠BFG = 180°

  (∠FGH +∠HGB) +∠GBF +∠BFG = 180°

  ∠FGH +20° +36° +87° = 180°

  ∠FGH = 180° -143° = 37°

__

Least to greatest, the angles are ...

  ∠HGB = 20°

  ∠ECD = 34°

  ∠GBH = 36°

  ∠FGH = 37°

5 people are evenly sharing 12 kilograms of apples how many kilograms of apples should each person get

Answers

Answer:

2.4 kilograms

Step-by-step explanation:

Given: 5 people are evenly sharing 12 kilograms of apples

To find: quantity of apples that each person should get

Solution:

Use the unitary method to get the required answer.

Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.

Quantity of apples for 5 people = 12 kilograms

Quantity of apples for 1 person = [tex]\frac{12}{5} =2.4[/tex] kilograms

So, each person should get 2.4 kilograms of apples.

Answer:

12/5 or 2 2/5

Step-by-step explanation:

We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125

12  ÷ 5 = 12/5

12/5 = 5/5 + 5/5 + 2/5

       = 1 + 1 + 2/5

       = 2 2/5

Each person should get 12/5, or 2 2/5, kilograms of apple

Use a net of the square pyramid, if necessary, to find the surface area of the pyramid

Answers

Answer:

- When all side faces are the same:

Surface Area = (Area of the Base) + 1/2 × Perimeter × (Slant Length)

- When side faces are different :

Surface Area = (Area of base) + (Lateral Area).

Step-by-step explanation:

A pyramid is formed by connecting a base to a top. There are no curves in a pyramid, the base is a polygon and all other faces are triangles.

There are many types of Pyramids, and they are named after the shape of their base.

We have Triangular Pyramid, Square Pyramid, Pentagonal Pyramid, and so on.

The Surface Area of a Pyramid.

We need to consider the two cases:

- When all side faces are the same:

Surface Area = (Area of the base) + 1/2 × Perimeter × (Slant Length)

- When side faces are different :

Surface Area = (Area of base) + (Lateral Area).

We consider the Area of Base because a pyramid's base varies, as I have explained earlier. It can be a square, a triangle, a pentagon, and so on.

What is the area of circle with a diameter of 22 ft? (use 3.14 for pi; show your work in numbers)

Answers

The right answer is 379.94 ft^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]379.94 {in}^{2} [/tex]

Step-by-step explanation:

[tex]d = 2r \\ 22 = 2r \\ \frac{22}{2} = \frac{2r}{2} \\ \\ r = 11ft[/tex]

[tex]area = \pi {r}^{2} \\ = 3.14 \times 11 \times 11 \\ = 379.94 {ft}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

what is this equation x2 – 2x – 6 in vertex form?

Answers

Answer:

In vertex form, the parabola's equation is y=(x−1)^2 +5.

Step-by-step explanation:

Complete the equation of the line whose slope is -2 and y-intercept is (0,-8).
y =

Answers

Answer:

y = -2x - 8

Step-by-step explanation:

The slope is the number in front of the x. If it is a whole number then the slope is number/1. Then the slope is rise over runs. Then the y-intercept is the number after the x. Sometimes there isn't y-intercept. In this one the y-intercept is -8.

Suppose I have a right trapezoid with base lengths of 4 and 16. Is there any way I can find out what the missing side is? (see image attached)

Answers

Answer:

  no

Step-by-step explanation:

If you draw a line from the right end of the top base to the bottom base, parallel to the left side, you cut off a right triangle that has a bottom leg of 12 and two unknown sides (height, and slant length).

All you can say is that the unknown slant length is more than 12 units.

If you know the height, you can find the slant length (hypotenuse) using the Pythagorean theorem.


A freshman English class at a certain college has 49 women and 20 men. If 5 students are randomly selected, what is the probability that they are all men? Round to five decimal places.

Answers

Answer:

0.00138

Step-by-step explanation:

artie multiplies a number by 4 and then adds 3. alice first add 3 to the same number and then multiplies it by 4. alice's answer is ___ more than Artie's number.

Answers

Answer:

Alice's answer is 15 more than Artie's number.

Step-by-step explanation:

The number initially is x.

Artie's number:

Multiplies by 4, so 4x.

Subtracts 3, so 4x - 3.

Alice's number:

Adds 3, so x + 3.

Multiplies by 4, so 4(x + 3) = 4x + 12

Alice's number is how much more than Artie's?

We subtract Alice's number by Artie's number.

4x + 12 - (4x - 3) = 4x + 12 - 4x + 3 = 15

Alice's answer is 15 more than Artie's number.

what is greater 16.5 or 18750​

Answers

Answer:

18750

Step-by-step explanation:

This is because 18750 is 5 digits and 16.5 is only 2 whole digits

Select one of these options to each of these 6 question thar apply to


A .Slope formula

B. Given

C. Perpendicular lines intersect to form right angles.

D. Multiply.

E. Definition of right triangle

F. If the product of the slopes of two nonvertical lines is −1
the lines are perpendicular.

Answers

Answer:

1) Given

2) Slope Formula

3) Multiply

4) If the product of the slopes of two non vertical lines is -1, then the lines are perpendicular

5) Perpendicular lines intersect to form right angles

6) Definition of right triangle

Use the figure to complete the statements.
The area of the base, B, of the pyramid is cm2.
The volume of the pyramid is cm3.asap

Answers

Answer:

The area of the base, B, of the pyramid is  96  cm2

he volume of the pyramid is 320  cm3.

Step-by-step explanation:

Answer:

96 320

Step-by-step explanation:

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

Answers

Answer:

y =  x² - 8x + 17

Step-by-step explanation:

Recall this formula:

y = a(x-h)² + k

Original equation was y = x², which in this form looks like

y = 1(x - 0)² + 0

If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..

y = (x-h)² + k

Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)

y = (x - 4)² + 1

y = x^2- 8x + 16+1

y = x² - 8x + 17

Alejandro plotted the location of a reclining chair and an end table on a coordinate plane. The end table is represented by the circle, and the chair is represented by the square with solid sides. The image of the chair along a translation is represented by the square with dashed sides.

Answers

Answer:

Step-by-step explanation:

Please locate the answers to this question in the file attached below, the solution is there.

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.

Answers

Answer:

  (x -4)^2 +1

Step-by-step explanation:

For some f(x), a translation to the right by "h" and up by "k" transforms it to ...

  g(x) = f(x -h) +k

You want your G(x) to be a translation 4 units right and 1 unit up from F(x), so you have ...

  G(x) = F(x -4) +1

  G(x) = (x -4)^2 +1

Calculate the volume of the following shapes with the given information. For the first three questions, give each answer both in terms of and by using to approximate . Make sure to include units.

Sphere with a diameter of 6 inches
Cylinder with a height of 6 inches and a diameter of 6 inches
Cone with a height of 6 inches and a radius of 3 inches
How are these three volumes related?

Answers

Answer:

They all have PI π in the formulas

Step-by-step explanation:

The volume of Sphere is,  [tex]36\pi inch^3[/tex].

The volume of Cylinder is, [tex]36\pi inch^3[/tex].

The volume of Cone is,[tex]18\pi inch^3[/tex].

What is volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.

First to find the volume of Sphere.

Given a diameter of sphere is 6 inches.

So, the radius is 6/2 = 3 inches.

Volume of Sphere is,

[tex]V = \frac{4}{3} \pi r^3\\V = \frac{4}{3} \pi (3^3)\\V = 36\pi inch^3[/tex]

Now, to find volume of Cylinder.

Given: Height = 6 inch,  diameter = 6 inch  so, radius = 3 inch

Volume of cylinder is,

[tex]V = \pi r^2h\\V = \pi (3^2)6\\V = 36\pi inch^3[/tex]

Now, to find the volume of Cone.

Given: Height = 6 inch,  radius = 3 inch

Volume of cone is,

[tex]V = \frac{h}{3} \pi r^2\\V = \frac{6}{3} \pi (3^2)\\ V = 18 \pi inch^3[/tex]

Therefore, the above the volume of Sphere and Cylinder are equal.

And the volume of Cone is half of the volumes of Sphere and Cylinder.

To know more about the Volume, click on the link

https://brainly.com/question/463363

#SPJ2

You can type 36 words per 18 minute. How many words can you type in 2 minutes?

Answers

Answer:

4 words in 2 minutes

Step-by-step explanation:

36 / 18 = 2

2 words per minutes

2 x 2 = 4

You can type 4 words in two minutes

Step-by-step explanation:

So if you can type 36 word in 18 minutes then divide 36 by 18 to get 2 words per minute. Now multiply 2 words by 2 minutes to get 4 words per minute, your answer.

Need help with this question

Answers

Answer:

  [tex]\dfrac{-5x^2+34x-32}{x^2-10x+24}[/tex]

Step-by-step explanation:

Write each fraction using a common denominator, then combine numerators and collect terms. "Simplify" usually means "eliminate parentheses."

  [tex]\dfrac{8}{x-4}-\dfrac{4}{x-6}-\dfrac{5x}{x-4}=\dfrac{8(x-6)}{(x-4)(x-6)}-\dfrac{4(x-4)}{(x-4)(x-6)}-\dfrac{5x(x-6)}{(x-4)(x-6}\\\\=\dfrac{8(x-6)-4(x-4)-5x(x-6)}{(x-4)(x-6)}=\dfrac{8x-48-4x+16-5x^2+30x}{(x-4)(x-6)}\\\\=\boxed{\dfrac{-5x^2+34x-32}{x^2-10x+24}}[/tex]

The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume of the pool? Use 3.14 for Pi.

cylinder. height 4 feet. radius 14 feet

a
351.68 cubic feet
b
703.36 cubic feet
c
2,461.76 cubic feet
d
615.44 cubic feet

Answers

Formula:
V= pi×radius square × height

Remember pi is 3.14
Height= 4 feet
Radius 14 feet

Plug in the numbers into the formula

3.14 × 14^ 2 × 4 = 2461.76 cubic feet

ANSWER: C. 2461.76

answer quick please (2x2 + 5x - 7) + (3 - 4x2 + 6x)

Answers

Answer:

[tex] \frac{8}{11} [/tex]

Step-by-step explanation:

(4+5x-7)+(3-8+6x)=0

(-3+5x)+(-5+6x)=0

-8+11x=0

x=8/11

Answer:

Step-by-step explanation:

On the day you were born, Uncle Peyton gave your parents a piece of sports memorabilia valued at
$75. If past trends continue, it should appreciate in value 12% per year. If you sell it on your 18th
birthday, what can you expect the sale price to be?

Answers

Answer:

$162

Step-by-step explanation:

12% of $75 is $9 Therefore,

$9 x 18 = 162 ( 18 being the years )

Hope this helps!!!

-Conrad

What is the determinant of A = [ -2 2 -5 4 -1 -2 1 3 -5]

Answers

Answer:

-51

Step-by-step explanation:

[tex]\begin{vmatrix}-2&2&-5\\4&-1&-2\\1&3&-5\end{vmatrix}=\\=\mathsf{-10-4-60-5+40-12}=\\=\mathsf{-91+40}=\\=\mathsf{-51}[/tex]

Answer:

-51

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}-2&2&-5\\4&-1&-2\\1&3&-5\end{array}\right] =1*\left[\begin{array}{ccc}2&-5\\-1&-2\end{array}\right] +(-3)*\left[\begin{array}{ccc}-2&-5\\4&-2\end{array}\right] +(-5)*\left[\begin{array}{ccc}-2&2\\4&-1\end{array}\right] =-9+(-72)+30=-9-72+30=-51[/tex]

Noel read 90 minutes each day for 6 days. Tyra read minutes each day for 8 days. What is the difference, in minutes, between the total amount of time Noel read and the total amount of time Tyra read?

A) 30
B) 40
C) 60
D) 80

Help with this please

Answers

Answer:

C) 60

Step-by-step explanation:

For computing the difference between the time taken in minutes by Noel and Tyra first we have to compute individually which are as follows

For Noel, the time taken required

[tex]= Time\ required \times number\ of\ days[/tex]

[tex]= 90\ minutes \times 6\ days[/tex]

= 540 minutes

For Tyra, the time taken required

[tex]= Time\ required \times number\ of\ days[/tex]

[tex]= 60\ minutes \times 8\ days[/tex]

= 480 minutes

So the difference is

= 540 minutes - 480 minutes

= 60 minutes

Hence, the third option is correct

This Venn diagram shows the pizza topping preferences for 9 students let event A= The student likes pepperoni let event B= the student likes olives
What is P(a or b)

Answers

Answer:

  B.  5/9

Step-by-step explanation:

There are 5 names listed in the circles representing pepperoni and olives, so of the 9 students, 5 like pepperoni or olives.

  P(A or B) = 5/9

A community is building a square park with side is that measure 120 m to separate the picnic area from the play area the park is split by a diagonal line what is the approximate length of the diagonal line

Answers

Answer:

(120^2+120^2)^0.5 = 169.705m

Step-by-step explanation:

Pythagorean Theorem

Other Questions
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