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Dvinal [7]
4 years ago
10

Frank is trying to decide between two job offers. The compensation package for job A includes a $450-per-month health insurance

plan, to which Frank would contribute $85; a $45-per-month life insurance plan; a salary of $67,000 per year; and a 6% match on 401(k) contributions. The compensation package for job B includes a $500-per-month health insurance plan, to which Frank would contribute $115; a $40-per-month life insurance plan; a salary of $65,000 per year; and an 8% match on 401(k) contributions. Frank plans to contribute $8000 per year to his 401(k) plan. (10 points: Part I – 2 points; Part II – 2 points; Part III – 2 points; Part IV – 3 points; Part V – 1 point)
Part I: What is the yearly value of the health insurance benefit from job A? How about the yearly value of the health insurance benefit from job B? (2 points)



Part II: What is the yearly value of the life insurance benefit from job A? How about the yearly value of the life insurance benefit from job B? (2 points)


What is the yearly value of the 401(k) match from job A? How about the yearly value of the 401(k) match from job B?
Mathematics
1 answer:
miv72 [106K]4 years ago
8 0
<span>The yearly value of the health insurance from job A is $4380. To find this, take the $450 per month, and subtract Frank's contribution of $85. 450-85=$365 benefit per month. Multiply the monthly benefit by 12 months to get 365*12=4380. The yearly value of the health insurance from job B is $4620. To find this, take the $500 per month and subtract Frank's contribution, 500-115=385. No multiply the monthly benefit by 12 to get 385*12=4620.</span>
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Two rectangular prisms have the same volume. The area of the base, B, of the blue prism is 418 square units. The area of the bas
kenny6666 [7]

Answer:

The height of the blue prism is half the height of the red prism

Step-by-step explanation:

Represent the volume of the blue prism with Vb and the red prism with Vr

So, we have:

V_r = V_b

A_b = 418 --- base area of the blue

A_r = \frac{1}{2}A_b --- base area of the red

Required

Determine which statement about the heights of the prisms is true

Volume is calculated as:

Volume = Base\ Area * Height

For the blue prism:

V_b = A_b * h_b

For the red prism

V_r = A_r * h_r

Equate both volumes

V_r = V_b

A_r * h_r = A_b * h_b

Substitute the expression for A_r

\frac{1}{2}A_b * h_r = A_b * h_b

Divide both sides by A_b

\frac{1}{2} h_r =  h_b

<em>This implies that the height of the blue prism is half the height of the red prism</em>

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3 years ago
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3 years ago
4m + 2m = 48<br><br> Please help &amp; explain how you got to the answer
Wewaii [24]
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a flomming tile has the shape of a parallelogram whose base is 24cm and height is 10 cm how many tiles are required to cove the
g100num [7]

Answer:

4 1/2 tiles are needed to cover this area

Step-by-step explanation:

Mathematically, the area of a parallelogram is the product of the base and the height

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So the area of a tile is this

The number of tiles that will cover the given area will be;

1080/240 = 4.5 tiles

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