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garri49 [273]
3 years ago
10

Find two numbers x and y such that their sum is 60 and x2y is maximized.

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0
X + y = 60
P = x^2 y

From first  equation y = 60 - x

P = x^2(60 - x)
P = 60x^2 - x^3
Finding the derivative of P and equating to zero:-
P' = 120x - 3x^2 = 0
 -3x ( x - 40) = 0
 x = 40 
This makes y = 20
So maximum values of x^2y  = 40^2 * 20 =  32,000.
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Kinard's Kennels Inc. ROE is 20%. Their dividend payout ratio is 70%. The last dividend, just paid, was $2.00. If dividends are
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Answer:

option C

Step-by-step explanation:

given,

ROE = 20 %

dividend payout ratio = 70%

paid = $ 2.00

value of current stock if required return is 18% = ?

g = (1 - payout ) x  ROE

  = (1 - 0.7 ) x 20%

  = 6 %

dividend =  2 (1 + growth rate)

               = 2 x (1 + 0.06) =$ 2.12

as current value of stock

        = \dfrac{D1}{required\ return - growth \ rate}

        = \dfrac{2.12}{0.18 - 0.06}

        = $17.67

hence, the correct answer is option C

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3 years ago
What is the area of the figure below?
irinina [24]
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3 years ago
Use these four expressions to make a hypothesis about the closure property of interfere under each operation.
12345 [234]

Answer: 1. Yes. 2. Yes. 3. Yes. 4. No

Step-by-step explanation:

5 0
3 years ago
Use the following images to answer the question:
Nookie1986 [14]

Truth statement are statements or assertions that is true regardless of whether the constituent premises are true or false. See below for the definition of Euclidean Postulates.

<h3>What are the Euclidean Postulate?</h3>

There are five Euclidean Postulates or axioms. They are:

1. Any two points can be joined by a straight line segment.

2. In a straight line, any straight line segment can be stretched indefinitely.

3. A circle can be formed using any straight line segment as the radius and one endpoint as the center.

4. Right angles are all the same.

5. If two lines meet a third in a way that the sum of the inner angles on one side is smaller than two Right Angles, the two lines will inevitably collide on that side if they are stretched far enough.

<h3>What are the truth statements relating to the pictures and their equivalent Euclidean Axiom?</h3>

  1. The right angle in the first page of the book shown and the right angles in the last page of the book shown are all the same. (Axiom 4);
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  3. The swords held by the fighters can be extended into infinity because they are straight lines (Axiom 5)

Learn more about Euclidean Postulates at:
brainly.com/question/3745414
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6 0
2 years ago
Read 2 more answers
HURRY!!! GIVING BRAINLIEST!!
Dima020 [189]
Try using a graphic calculator and then put the answer into the problem and it should make since, sorry
3 0
3 years ago
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