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KatRina [158]
3 years ago
7

He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no more than 40 hours a week. He wan

ts to use linear programming techniques to optimize his income. Part A Construct a model to represent the amount of time Steven can spend on data entry and training. Be sure to define your variables. Sketch a graph of your model. Part B While Steven would like to spend most of his time training, the number of hours spent training cannot exceed twice the number of hours doing data entry support. Steven must spend at least 10 hours each week on data support. Construct a model to show the constraints. Sketch a graph of your model. Part C Find the vertices of the feasible region. Show your work or explain how you found the coordinates. Part D What is the maximum possible amount of money Steven can earn in a week given the constraints? Round to the nearest dollar. Validate your solution to assess the reasonableness of you Part E The number of hours Steven worked one week resulted in a gross income of $800. From this, a portion was withheld for benefits, retirement, and taxes. The total amount withheld from Steven’s check was $264. The amount withheld for taxes was twice the amount withheld for retirement, and the amount withheld for benefits was $24 less than the sum of retirement and taxes. Construct a system of equations that can be used to find the amount of benefits, retirement, and taxes. Be sure to define your variables. Part F Solve the system from Part E. Validate your solution to assess the reasonableness of your model.
Mathematics
2 answers:
boyakko [2]3 years ago
8 0

............................................................

DiKsa [7]3 years ago
8 0

Answer:

Step-by-step explanation:

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gregori [183]

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Emma's recipe will be more lemony because

5/2=2.5

2/1=2

Step-by-step explanation:

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3 years ago
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The image of the point (-1, 7) under a translation is (0, 11). Find the coordinates of the image of the point (1, -4) under the
g100num [7]

If the image of the point (-1,7) under a translation be (0,11) then the coordinates of the image of the point (1,-4) under the same translation is (2,0).

Given that the image of the point (-1, 7) under a translation is (0, 11).

We are required to find the coordinates of the image of the point (1, -4) under the same translation.​

Translation basically means the displacement of a figure or a shape from one place to another. In translation figure can move upward, downward, right, left or anywhere in the coordinate system.

The point (-1,7) after translation changes into (0,11).

X coordinate will change by adding 1 to it and Y coordinate will change by adding 4. Now the point (1,-4) will change to (2,0) after adding 1 to 1 and 4 to -4.

Hence if the image of the point (-1,7) under a translation be (0,11) then the coordinates of the image of the point (1,-4) under the same translation is (2,0).

Learn more about translation at brainly.com/question/12861087

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6 0
1 year ago
Step-by-step to reduce the radical of the square root Of 160
notka56 [123]

Answer:

4\sqrt{10}

Step-by-step explanation:

\sqrt{160}

\sqrt{16 * 10}

4\sqrt{10}

because 16 is a perfect square root and it splits into 4 * 4 while 10 isnt a perfect square root so it stays inside.

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2 years ago
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Solve the given inequality and graph the solution on a number line. -x/3 + 5/2 < 2/2.
AleksAgata [21]
This is the working. the answer is x is less than half. the number line is beside it.

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3 years ago
Last year Salma opened an investment account with $8200. At the end of the year the amount in the account had increased by 6.5%.
nikklg [1K]

Answer:

61,500

Step-by-step explanation:

8200 x 6.5 = 53,300 + 8200 = 61,500 = $61,500

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