Sally works 40 hours a week and makes $30 an hour, but her kids are in child care each day and the day care center charges her $
1 answer:
Answer:
Sally will earn $21.25 per hour after she removes day care charges from her total earnings.
Step-by-step explanation:
Hey there!
Let's start by solving for how much money that Sally earns per week.
To find this value, we will find the product of 40 hours per week and 30 dollars per hour.
We now know that Sally makes $1,200 a week without deducting the daycare charges per day.
However, we know we need to deduct 70 dollars for each day that Sally works. Since she works for five days a week, we will find the product of 70 dollars per week and five days a week.
Therefore, the day care charges $350 per week.
Finally, we need to subtract the day care charges from the amount of money that Sally earns to find how much she actually makes in a week.
Therefore, for forty hours of work that Sally works each week, she earns $850.
However, we are not done. The question asks us to find how many dollars <u>per hour</u> does she actually make? Therefore, we need to find the quotient of 850 dollars and 40 hours per week.
Therefore, Sally earns $21.25 each hour after deducting day care costs.
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Answer:
Step-by-step explanation:
Let . We have that
if and only if we can find scalars
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1.
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3.
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
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6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are . Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.