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Scorpion4ik [409]
3 years ago
13

When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function L(h) = 28.75

h, where h is the number of estimated hours it will take to complete the job. Next, the estimator adds the labor burden, which accounts for taxes and insurance, using the function B(L) = 1.78L. Finally, the estimator calculates the selling price, including the markup for overhead and profit, using the function M(B) = 1.43B. Which composite function can be used to find the selling price for the labor portion of a bid based on the estimated number of hours?
Mathematics
1 answer:
dybincka [34]3 years ago
7 0

Answer:

  M(h) = 73.18025h

Step-by-step explanation:

The composite function is ...

  M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)

  = 1.43(51.175h) = 73.18025h

The composite function is ...

  M(h) = M(B(L(h))) = 73.18025h

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Answer:

there are different

Step-by-step explanation:

8 0
3 years ago
£750 is divided between Bridget, Caroline &amp; Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three ti
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Answer: £225

Step-by-step explanation:

Let Sarah's amount be represented by x.

Since Caroline gets three times as much as Sarah, Caroline will get: 3x

Bridget gets twice as much as Caroline, therefore Bridget will get: 2 × 3x = 6x

Sarah = x

Caroline = 3x

Bridget = 6x

Total = x + 3x + 6x = 10x

Caroline's faction is 3/10. We then multiply the fraction by £750. This will be:

= 3/10 × £750

= 0.3 × £750

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4 0
3 years ago
how many gallons of a 50 antifreeze solution must be mixed with 90 gallons of 20% antifreeze to get a mixture that is 40% antifr
Tamiku [17]
Try this:
1) note that weight of pure antifreeze before mixing and after mixing is the same. So, if 'x' is weight of pure antifreeze in 50% solution, it is possible to make up equation before mixing: 0.5x+0.2*90.
2) there are 0.2*90=18 gal. of pure antifreeze in the 20% solution. If 'x' gal. is the weight of pure antifreeze in 50% sol. and 18 gal. is the weight of pure antifreeze in 20% sol., it is possible to make up an equation after mixing: 0.4(x+18).
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3 0
3 years ago
Using the chart below, determine which option would be the cheapest overall? Option Number of Months Down Payment Interest Rate
Gekata [30.6K]

Answer:

Answer:

Option 1, by $851.70

Step-by-step explanation:

Option 1 total:

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Option 2 total:

$8000 + $626.25*4*12 + 0.38*$43995 = $54778.10

The difference:

$54778.1 - $53926.40 = $851.70

As we see the option 1 is cheaper by $851.70

Correct answer choice is the last one

Step-by-step explanation:

8 0
2 years ago
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DedPeter [7]
A ratio is not multiplication, so I'm just going to throw that out there first in case any other answers trip you up.

9:2 is the correct answer because there are 9 sandwiches for 2 people.
3 0
3 years ago
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