The Miller's budget $90,240 annually. If both Mr. And Mrs. Miller each work 160 hours per month, what is the average hourly wage needed to meet the budget? Round to the nearest cent.

$23.50 per hour

Step-by-step explanation:

Since they both work this amount per month and the budget is based on their combined salary then we can combine this amount of hours for two people. Therefore, Mr. and Mrs. Miller work 320 hours each month together. There are a total of 12 months in a year meaning that ...

320 * 12 = 3,840 hours

Mr. and Mrs. Miller work a total of 3,840 hours per year. Therefore in order to meet their budget, they need to make an hourly wage of ...

90,240 / 3,840 = $23.50

9514 1404 393

  a) 22

  b) 18

Step-by-step explanation:

a) In order for 198k to be a perfect square, all of its integer factors must be squares. 3² is already a factor. To make the other factors be squares, need to multiply by 2 and 11. That is, k = 2×11 = 22. Then we will have ...

  198k = 2×3²×11 × (2×11) = 2²×3²×11² = (2×3×11)²

  k = 22

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b) The factors that are different in the two numbers are 11 and 5. The factors that are the same are 2×3² = 18.

  18 is the greatest common factor of 198 and 90

The "work" is looking at the numbers in the factor lists and comparing those to what is needed to answer the question.