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Andrew [12]
2 years ago
15

A company made a profit of $90,000 in the year 2006. In 2010, the same company made a total profit of $135,000. If the rate of c

hange is a constant, what is the average rate of change of the company’s profit in dollars per year? HELP
Mathematics
1 answer:
Firlakuza [10]2 years ago
6 0

Answer:

Average rate of change = $11250 per year.

Step-by-step explanation:

Let's take two points from given information (2006, 90000) and (2010, 135000).

Now, use slope formula to find slope.

Slope =\frac{y2-y1}{x2-x1}

Use the two points to find average rate of change (slope)

Average rate of change =\frac{135000-90000}{2010-2006}

                                        =\frac{45000}{4}

                                       =11250

Average rate of change = $11250 per year.

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21

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A. ∠4 is congruent to ∠5; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

D. ∠2 and ∠3; True.

<h3>What are the properties of angles of parallel lines?</h3>
  • On a common plane, two parallel lines do not intersect.
  • As a result, the characteristics of parallel lines with respect to transversals are given below.
  1. Angles that correspond are equal.
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For the give question;

Two line are cut by the transversal.

∠1 =  90.5° and ∠7  =  89.5°

Thus the result for the given statement are-

A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

∠6 = ∠7 =  89.5°.(correct)

D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.

Thus, the result for the given statement are found.

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Step-by-step explanation:

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