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Sliva [168]
3 years ago
7

A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells

for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate
Mathematics
1 answer:
Mama L [17]3 years ago
3 0

Answer:

the equilibrium expected growth rate is 6.65%

Step by step Explanation:

We were given stock sold per share of $32.50

Dividend per share =$1.25

Required Return rate = 10.5%

Then we can calculate Percentage of Dividend for share as;

dividend of br. 1.25 per share at the end of the year (D1=br.1.25)

= 1.25×100= 125

Let the dividend percentage = y

stock sold per share × y= 125

125= 32.50y

y = 125/32.50

y= 3.85

y= 3.85*100%

Then the Dividend percentage = 3.85%

Growth rate=(required rate of return -Dividend percentage)

= 10.5 - 3.85 = 6.65

Therefore, the equilibrium expected growth rate is 6.65%

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Point A is at (-2,-7). Find the new coordinates of point A after it is translated 5 units right and 2 units down.​
shtirl [24]

Answer:

(3,-9)

Step-by-step explanation:

4 0
3 years ago
A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?​
Yuliya22 [10]

Answer:

2/5 or 2:5

Step-by-step explanation:

Face Card:

The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.

Spade:

1/4 of all the cards in a deck are spades, so 52/4= 13 spades.

When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.

25-3=22

22/55

when simplified: 2/5

6 0
3 years ago
Read 2 more answers
A rectangle has a height of k2 + 3 and a width of k2 + 7.
ElenaW [278]

Answer:

The area of the rectangle in polynomial form is k^4 +10 k^2 + 21

Step-by-step explanation:

Given

Shape: Rectangle

Height: k^2 + 3

Width: k^2 + 7

Required

Area of the rectangle

The area of a rectangle is calculated as thus;

Area = Length * Width

By substituting k^2 + 3 for height and k^2 + 7 for width; This gives

Area = (k^2 + 3)(k^2 + 7)

Expand the bracket

Area = k^2(k^2 + 7) + 3(k^2 + 7)

Open each bracket

Area = k^2*k^2 + k^2*7 + 3*k^2 + 3*7

Area = k^4 +7 k^2 + 3k^2 + 21

Area = k^4 +10 k^2 + 21

Hence, the area of the rectangle in polynomial form is k^4 +10 k^2 + 21

5 0
3 years ago
Find Arc PR<br>Please help and give explanation ​
garri49 [273]
Arc PR is 156 degrees. Since both angles are are making the forming arc they should be congruent. You can put (5x+23)=(9x-21) which is x=11.
Then you plug in 11 into your equation; 5(11)+23=78.
Since the vertex is on the outside of the circle then the arc is forms is 2 times the value of the angle.
78(2)=156
8 0
3 years ago
What is the interest rate if...<br> Principal = $1,250<br> Time = 4 years<br> Interest = $285.
alexandr402 [8]

Answer:

<h3>The answer is 5.7 %</h3>

Step-by-step explanation:

To find the rate given the principal , time and interest , we use the formula

r =  \frac{100I}{pt}  \\

where

p is the principal

t is the time

I is the interest

From the question

Principal = $1,250

Time = 4 years

Interest = $285

We have

r =  \frac{285 \times 100}{4 \times 1250}  =  \frac{28500}{5000}  =  \frac{285}{50}  \\  = 5.7

We have the final answer as

<h3>5.7 %</h3>

Hope this helps you

8 0
3 years ago
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