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asambeis [7]
1 year ago
5

You are paid 1.5 times your normal hourly rate for each hour you work over 30 hours in a week. You work 33 hours this week and e

arn $594.78.
What is your normal hourly rate?
1.5
Mathematics
1 answer:
erma4kov [3.2K]1 year ago
6 0

The normal hourly rate is <u>$17.24</u>.

In the question, we are given that we are paid 1.5 times our normal hourly rate for each hour we work over 30 hours in a week.

We are asked to find the normal hourly rate if we work for 33 hours this week and earned $594.78.

We assume the normal hourly rate to be $x.

While working for 33 hours, we work 33 - 30 = 3 extra hours.

Thus, we are paid at the normal hourly rate of $x for 30 hours and at 1.5 times the normal hourly rate, which is $1.5x for the additional 3 hours.

Thus, the total earning can be shown as $x*30 + $1.5x*3 = $(30x + 4.5x) = $34.5x.

But, we are given that the total earnings for the week after working for 33 hours is $594.78.

Thus, we can equate the two to get an equation, 34.5x = 594.78, which on solving gives us x = 17.24.

Thus, the normal hourly rate is <u>$17.24</u>.

Learn more about the normal hourly rate at

brainly.com/question/18800313

#SPJ9

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Step-by-step explanation:

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given: g(x) = 8x + 2 = -62

8x = -62 -2

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7 0
3 years ago
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3 years ago
Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th
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Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

area = 2*\pi*r^2 + 2*\pi*r*h

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}

The surface area of the drum is 3317.5218 square inches.

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