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marusya05 [52]
2 years ago
5

If a company reports operating profit of $70 million, earns net income of $50 million in year 8, has 20 million shares of common

stock outstanding, pays a dividend of $1. 50 per share, and has annual interest costs of $15 million--all in year 8, then
Mathematics
1 answer:
romanna [79]2 years ago
7 0

The company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million

<h3>How do we calculate EPS and retained earnings?</h3>

Note: The options for the questions are as follows:

A. the company's total earnings for Year 8 would be $10 million (net income of $50 million less interest costs of $10 million less dividend payments of $30 million = $10 million).

B. the company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million).

C. the company's credit rating would be no less than an A because operating profit is seven times higher than annual interest costs.

D. the company's EPS for Year 8 would be $5.50 and its retained earnings for Year 8 would be $10million (net income of $50 million less interest costs of $10 million less dividend payments of $30million).

E. the company's EPS for Year 8 would be $1.50 (operating profit of $70 million less interest costs of$10 million, less dividend payments of $30 million= $30 million divided by 20 million shares).

The question can now be answered as follows:

From the question, we can calculate the following:

EPS = Net income / Number of shares of common stock outstanding = $50 million / 20 million = $2.50

Dividend payments = Number of shares of common stock outstanding * Dividend per share = 20 million * $1. 50 = $30 million

Retained earnings = Net income - Dividend payments = $50 million - $30 million = $20million

Therefore, the correct option is B. the company's EPS for Year 8 would be $2.50 and its retained earnings for Year 8 would be $20 million (net income of $50 million less dividend payments of $30 million).

Learn more about EPS here: brainly.com/question/19671991.

#SPJ1

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A sphere with center A is shown. Which represents a tangent?<br> | WE
lana [24]

Answer:

<h2>The segment FE is a tangent of the sphere.</h2>

Step-by-step explanation:

Obseve the sphere in the image attached.

Notice that point A is the center of the sphere. GD is the diameter, which means AG and AD are radius.

On the other hand, remember that a tangent is a line that intersects the figure at only one point, otherwise, it would be a secant.

Therefore, segment BC is a secant and segment FE is tangent.

So, the right answer is segment FE.

4 0
3 years ago
A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
Help quick! I'll mark your answer as the brainliest if your answer is correct!
Anna007 [38]

Answer:

They would never intersect because they are parallel lines. You can tell they are parallel lines because they have the same slope and they have a different y-intercept. However, this doesn't mean that there was no solutions, there were, thats how i was able to tell what their slopes and y-intercepts were. So if there is an answer that you can choose from that explains that they won't intersect because they are parallel then that is the correct answer. It may be C, but I would see if there is another option.

8 0
3 years ago
:) help me pleaseeee asap
Shalnov [3]
Should be B because the slope is 2
7 0
3 years ago
2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and
QveST [7]

Answer:

dilation is the answer

6 0
3 years ago
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