Let the profit at the first year be X
3x=114000
Solve for x by dividing each side by 3
3x/3=114000/3
X=38,000
So the profit was 38000
Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1
Step-by-step explanation:
Hi, to answer this question we have to calculate the surface area of both boxes.
<em>Surface area (A) = 2wl + 2lh + 2hw,
</em>
Where w is width, l is length , and h is height.
- Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
- Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2
Since 1 inch = 0.0833333 foot
- Box 1 = 448 in2 x 0,0833333 =37.34 ft2
- Box 2= 424 in2 x 0,0833333 =35.19 ft2
Since the material used to make a storage box costs $1.25 per square foot.
- Box 1 =37.34 ft2 x1.25 = $ 46.675
- Box 2= 35.19 ft2 x 1.25 =$43.98
Since 50 of each are made:
- Box 1 = $ 46.675 x50 =2,333.750
- Box 2= $43.98 x50 =2,199.37
Subtracting both costs:
2,333.750(1) - 2,199.37(2) = $134.38
Answer:
B) 34/48
Step-by-step explanation:
The easiest common denominator to find is the product of the denominators you have.
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The difference is ...

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<em>Additional comment</em>
The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.
5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result
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Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.
Answer:
The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Step-by-step explanation:
We are given that
Mean, 
Standard deviation, 
We have to find the two weights that separate the top 3% and the bottom 3%.
Let x be the weight of machine components


=0.03
From z- table we get

Therefore, we get







Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.
Answer:
Step-by-step explanation:
<u>The volume of the prism:</u>
<u>If each of the dimensions is doubled, then the volume becomes:</u>
- V₁ = 2l*2w*2h = 8lwh = 8V
The larger prism has 8 times greater volume