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IRISSAK [1]
3 years ago
9

Kate is a wage earner. One year she earned $72 000. She works 36 hours/week.

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

Kate's possible hourly rate of pay:  $34.75

Hours of overtime: 100

Step-by-step explanation:

In order to find Kate's hourly wage, we can set up an equation based on the number of hours she works per week and the estimated number of overtime hours to equal her total pay for the year.  If Kate works 36 hours/week and there are 52 weeks in a year, her total hours for one year are:  36 x 52 = 1872.  Setting up an equation based on her total earnings of $72,000:

1872x + 100(2x) = 72000, where 'x' is the hourly rate and '2x' is her overtime rate which is double time.

Combine like terms:  1872x + 200x = 72000 or 2072x = 72000

Divide both sides by 2072:  2072x/2072 = 72000/2072

Solve for x:  x = $34.75

Kate's hourly rate is estimated at $34.75.  We can check to see if this is correct by putting this value back into our original equation:

1872(34.75) + 100(2)(34.75) = 65052 + 6950 = 72002

The answer of $72,002 is very close to $72,000 and the best estimate of Kate's hourly wage and overtime hours.

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Which expression is equivalent to 5^4(5^-^3)^2?<br> 5^1 <br> 5^2<br> 1/5^1<br> 1/5^2
inessss [21]

Answer:

1 5th  ^2.

Step-by-step explanation:

8 0
3 years ago
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality repr
shtirl [24]

Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

6 0
2 years ago
Read 2 more answers
Help me find the range of this function please
lara31 [8.8K]

Answer:

{-2, -14, -26, -50}

Step-by-step explanation:

The range of the function is the function evaluated at each point of the given domain. So to find the range of the function we need to find the value of the function for each point in the domain:

- For x = -8

f(x)=-2x-18

f(-8)=-2(-8)-18

f(-8)=16-18

f(-8)=-2

The first value of the range of the function is -2

- For x = -2

f(x)=-2x-18

f(-2)=-2(-2)-18

f(-2)=4-18

f(-2)=-14

The second value of the range is -14

- For x = 4

f(x)=-2x-18

f(4)=-2(4)-18

f(4)=-8-18

f(4)=-26

Th third values of the range is -26

- For x = 16

f(x)=-2x-18

f(16)=-2(16)-18

f(16)=-32-18

f(16)=-50

The fourth and last value of the range is -50

Now we can put all the values of the range together

The range of the function is {-2, -14, -26, -50}

8 0
3 years ago
Evaluate the function f(x) = 2x + 8, when x = -2.
Tanzania [10]

4

search up math vvay  for more explantion also paste this in there

8 0
2 years ago
Can somebody help me first answer gets brainiest pls help
damaskus [11]
Answer: I believe the answer is 216 Square units.

Explanation:
1. Cut the shape in half. Now you have a square and a triangular shape.

2. The square is 12 inches on all four sides. 12 • 12 = 144. 144 is the area for the square.

3. Now, the triangular shape. The bottom of the shape is 12 because we divided the total 24 in half with the square. The left side (the longer side) of the shape is also 12 because it is parallel to the square with 12 as the same measurement. The right side (the shorter side) of the shape is 6 because it's half the size of the square’s length. The length of the top of the shape is also 12 because it is half of the square’s width of 24.

4. Now that we have found the measurements of the triangular shape, we can multiply (length • width) and add. The square is 144 units (12•12=144) and the triangular shape is 72 (12•6=72). 144 + 72= 216.

I hope this helps! :)
6 0
3 years ago
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