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liberstina [14]
3 years ago
10

Mr.Evans is paid $9.20 per hour for the first 40 hours he works in a week.He is paid 1.5 times that rate for each hour after tha

t.Last week,Mr.Evans worked 42.25 hours.He says he earned $388.70 last week.Do you agree?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

I do not agree.  If Mr. Evans worked 42.25 at a rate of $9.20 per hour for the first 40 hours and 1.5 times that rate after, he would have made a total of $399.05.  

Step-by-step explanation:

In order to find the total amount that Mr. Evans would have earned last week, we need to first calculate how much he earned in his regular pay at 40 hours.  For up to 40 hours, Mr. Evans makes $9.20 per hour, so his total wages earned after 40 hours is:  40 x 9.2 = $368.00.  However, Mr. Evans also worked 2.25 hours of overtime at a rate of 1.5 times $9.20 or 9.2 x 1.5 = $13.80.  At $13.80 for 2.25 hours, Mr. Evans would earn:  13.80 x 2.25 = $31.05.  When you add his base pay of $368.00 plus his over time pay of $31.05, you get a total of $399.05.

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Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

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C_{n,x} = \frac{n!}{x!(n-x)!}

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Combinations of 2 from a set of 10. So

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First, distribute the (1/2) into (4x+12) by multiplying them.

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