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Nina [5.8K]
3 years ago
7

50 POINTS! John earned $4.52 per hour working after school for ABC grocery. Last week he worked 12.5 hours. This week he worked

17.75 hours. How much was his paycheck for these 2 weeks after $14.66 was deducted for taxes and social security?
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0
Well, since we know that per HOUR is $4.52, and he worked 12.5 hours last week, we would multiply 4.52 times 12.5 to find the total amount of money he earned last week, which is $56.50. Now, the NEXT week he worked 17.25 hours. We'll do the same steps we did for solving the first week's paycheck- Multiply 4.52 times 17.75, which is $80.23. Now, to find out the total amount of money he earned for both weeks, add both paychecks together, ($56.50 + $80.23), which is $136.73. SO he earned $136.73 in two weeks. To find out the total amount of money he earned after taxes and social security charges, (in this problem it's $14.66), we'd subtract those extra charges from his paycheck, so we'd do $136.73 - $14.66, which is $122.07. So, in total, John has earned $122.07 in his bank account over the past two weeks. 
Hope I helped! c:
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Answer:

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Step-by-step explanation:

Consider the provided information.

Gurnaz has been mowing lawns to save money for a concert. Gurnaz will need to work for at least six hours to save enough money, but he must work fewer than 16 hours this week.

Let the number of hours Gurnaz work is represented by x.

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x\geq 6

He must work fewer than 16 hours this week. That means the value of x should be less than 16.

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Thus, the required inequality is: 6\leq x

Now draw the graph of the inequality.

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3 years ago
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Answer:

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Step-by-step explanation:

From the given right-angle triangle

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The hypotenuse = x

<u>Determining the value of x:</u>

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

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cos\:60^{\circ }=\:\:\frac{\frac{1}{2}}{x}

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Dividing both sides by 2

\frac{2x}{2}=\frac{2}{2}

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x=1

Thus, the value of hypotenuse x is:

x = 1

<u>Determining the value of y:</u>

Using the trigonometric ratio

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As we have already determined the value of hypotenuse x = 1

substituting opposite = y and hypotenuse = 1

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y=\frac{\sqrt{3}}{2}       ∵  \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}

Therefore, the value of y is:

y=\frac{\sqrt{3}}{2}      

Summary:

  • x = 1
  • y=\frac{\sqrt{3}}{2}    
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