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1 year ago

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Mathematics

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Anna11 [10]1 year ago

7 0

Using a linear function, it is found that Company D would have given you the best deal for 7 hours of moving.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, we consider:

The flat fee as the y-intercept.

The hourly rate as the slope.

Hence the costs for x hours of moving from each company are given as follows:

A(x) = 50 + 25x.

B(x) = 40 + 30x.

C(x) = 60 + 20x.

D(x) = 150 + 5x.

For 7 hours, the costs are given as follows:

A(7) = 50 + 25 x 7 = $225.

B(7) = 40 + 30 x 7 = $250.

C(7) = 60 + 20 x 7 = $200.

D(7) = 150 + 5 x 7 = $185.

Due to the lower cost, Company D would have given you the best deal for 7 hours of moving.

More can be learned about linear functions at brainly.com/question/24808124

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Without computing, determine which number is greater, [(-4)^4]^5 or -[(4^12)^3 Explain your reasoning.

Strike441 [17]

Answer:

I think [(-4)^4]^5, but I'm not completely sure

Step-by-step explanation:

1.0995116e+12 greater than -4.7223665e+21

[(-4)^4]^5=1.0995116e+12

-[(4^12)^3=-4.7223665e+21

7 0

3 years ago

Percents from Tabled Values

alexandr1967 [171]

Answer:

17.9% of men have a HS degree
50.5% of 2-yr degree earners were women
27.9% of the group has a 4-yr degree or higher

Step-by-step explanation:

It is convenient to use a spreadsheet to total the numbers for you. This reduces errors and put the numbers in a form that makes it easy to see what you're working with in any given calculation.

men with HS degree = (male HS)/(all male)

= 76/425 ≈ 0.1788 ≈ 17.9%

2-yr degrees that are women = (female 2-yr)/(2-yr total)

= 248/491 ≈ 0.5051 ≈ 50.5%

4-yr degrees in group = (4-yr degrees)/(total group)

= 258/925 ≈ 0.2789 ≈ 27.9%

_____

<em>Comment on the problem</em>

The spreadsheet is identical to the one used for your other problem. All that needed to be done was to enter the new numbers. The formatting, headers, and formulas remained the same. For solving these problems, it's a matter of picking the two numbers needed from the appropriate row or column and computing their ratio.

(The computations were done by hand here to better show you the numbers used and the rounding to tenth percent. They can be done in the spreadsheet with point and click.)