Answer
Choice D
Company 2 is greater in avg rate of change by $750

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Explanation:

Average rate of change is the same as slope through two points. The two points are the endpoints of the interval.

The x values we'll use is x = 0 and x = 12 since it constitutes the first 12 years (12-0 = 12)

For company 1, if x = 0 and x = 12, then y = 12000 and y = 30000 respectively. The two points (0,12000) and (12,30000) are on the graph for company 1
The slope of the line through these two points is
m = (y2-y1)/(x2-x1)
m = (30000-12000)/(12-0)
m = 18000/12
m = 1500
Over the first twelve years, the average rate of change for company 1 is 1500

For company 2, the points (0,15000) and (12,42000) are on the graph
The slope of the line through these two points is
m = (y2-y1)/(x2-x1)
m = (42000-15000)/(12-0)
m = (27000)/(12)
m = 2250
Over the first twelve years, the average rate of change for company 2 is 2250

Now find the difference in the slopes
2250-1500 = 750

Company 2's rate of change is larger by $750
So that's why the answer is choice D. Over this timespan, company 2 is growing faster on average compared to company 1

7 0

3 years ago

(2.99548) x (1.8342)

ki77a [65]

Answer:

5.49430941

Step-by-step explanation:

Multiply together.

i hope this helps, good luck :)

5 0

3 years ago

Read 2 more answers

Find the weight of the cast iron shape shown below at 0.26 pounds per cubic inch. (round to the nearest pound). The height of th

weqwewe [10]

Answer:

640 pounds

Step-by-step explanation:

The rest of the question is the attached figure

So, the total volume = V(cylinder ) + V(cone)

The volume of cylinder = π r² h

The volume of cone = π r² h/3

Both of the cylinder and the cone have the same diameter = 14 inches

So, the radius = 14/2 = 7 inches

The height of the cylinder is 13 inches and the height of the cone is 9 inches.

So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³

And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³

So, the total volume = 2,001.2 + 461.8 = 2,463 in³

So, the total weight = 0.26 pounds per cubic inch times the total volume

= 0.26 * 2463 = 640.38 pounds

= 640 pounds (to the nearest pound)

6 0

3 years ago