1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
3 years ago
10

Hector has a part-time job at a garage. He gets a paycheck of $820 every for

Mathematics
1 answer:
ElenaW [278]3 years ago
4 0

Answer:

<u>A. Hector pays $ 123 in taxes each paycheck.</u>

<u>B.  Hector should expect to receive $615 or 75% of his regular pay.</u>

<u>C. Hector will be paid $ 902 when he receives his next 4- week paycheck.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes:                       ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

  Weeks         Paycheck

      4                   820

      3                     x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

You might be interested in
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu
dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

<em>The graph is missing; however, the question can still be solved</em>

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

y = mx + b

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

47.84 = 1.55 * 15 + b

47.84 = 23.25 + b

Subtract 23.25 from both sides

47.84 - 23.25= 23.25 - 23.25 + b

24.59 = b

b = 24.59

Solving for the monthly cost for 9 HCF

Here, we have that

x = Amount\ of\ water = 9

m = Slope = 1.55

b = 24.59

Substitute these values in the linear function; y = mx + b

y = 1.55 * 9 + 24.59

y = 13.95 + 24.59

y = 38.54

<em>Hence, the monthly cost for 9 HCF is $38.54</em>

5 0
3 years ago
What is the product of 2/12 and 1/14? If you get it correct ill mark ya brainly.
Whitepunk [10]

Answer:

1/84

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
5) To find the slope of the trend line below, Riley chose<br> the points (1, 35) and (2, 25).
avanturin [10]
The slope of the trend line is -10
4 0
3 years ago
HELP HOW DO I SOLVE THE FOLLOWING? PLEASE HELP
levacccp [35]
f(x) = \sqrt[3]{2x - 1} \\f(14) = \sqrt[3]{2(14) - 1} \\f(14) = \sqrt[3]{28 - 1} \\f(14) = \sqrt[3]{27} \\f(14) = 3

f(x) = \sqrt[3]{2x - 1} \\f(-62) = \sqrt[3]{2(-62) - 1} \\f(-62) = \sqrt[3]{-124 - 1} \\f(-62) = \sqrt[3]{-125} \\f(-62) = -5

f(x) = \sqrt[3]{2x - 1} \\f(20) = \sqrt[3]{2(20) - 1} \\f(20) = \sqrt[3]{40 - 1} \\f(20) = \sqrt[3]{39}
4 0
3 years ago
Find the slope of the line passing through the points (1,-5) and (4,1).
e-lub [12.9K]
<h3>Answer:</h3><h3>The equation for the slope of a line, given two coordinate points, (x1,y1) , (x2,y2), is (y2-y1)/(x2-x1)  </h3><h3>  So we get slope = (1-(-5)) / (4-1)  = 6/3 = 2</h3><h3>A is your correct answer.</h3>

Hope this helps! please consider marking my answer the brainliest :)

4 0
3 years ago
Other questions:
  • -V35 is it an irrational number
    12·1 answer
  • Math fraction help please
    11·2 answers
  • A circle has its center at the center of a square with 3-inch sides. Find the area of the square not covered by the circle Round
    5·1 answer
  • 1 1/4 + .67 answer please
    8·2 answers
  • Started at 15 degrees and dropped 1/2 degrees each minute
    8·1 answer
  • In triangle ABC, AB = 12 inches, AC = 18 inches and the area of the triangle is 107.737 square inches. What is the measure of an
    14·2 answers
  • A gallon jug of milk is 5/6 full. After breakfast the jug is 1/12 full. Find the difference of the amounts before breakfast and
    15·2 answers
  • Heheh ik im annoying but plssss im trying to graduate hs
    9·1 answer
  • PLS HELP IM TIMED
    9·1 answer
  • HELPP PLEASE ASAP Use the Pythagorean theorem to find the missing length in the right triangle
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!