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Oksanka [162]
2 years ago
5

A mutual fund owns 20,000 shares in Company Y. Company Y has 2 million shares issued. In one particular year, Company Y announce

s annual profits of $6 million, and decides to pay dividends to its shareholders at a rate of 15% of its annual profits. How much will the mutual fund receive in the form of dividends from Company Y? Round your answer to the nearest dollar.
Mathematics
1 answer:
anastassius [24]2 years ago
5 0

Answer:  $9,000

Step-by-step explanation:

Step 1

Calculate the amount of dividends the company will pay to all its shareholders.

= 15% of profits

= 15% * 6,000,000

= $900,000

Step 2

Calculate how much dividends each share will get;

$900,000 to 2 million shares of Company Y.

= 900,000/2,000,000

= $0.45

Step 3

Calculate how much the Mutual fund will get for its 20,000 shares

= 20,000 * 0.45

= $9,000

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A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f
Svetlanka [38]

Answer:

12,345 tablets may be prepared from 1 kg of aspirin.

Step-by-step explanation:

The problem states that low-strength children’s/adult chewable aspirin tablets contains 81 mg of aspirin per tablet. And asks how many tablets may be prepared from 1 kg of aspirin.

Since the problem measures the weight of a tablet in kg, the first step is the conversion of 81mg to kg.

Each kg has 1,000,000mg. So

1kg - 1,000,000mg

xkg - 81mg.

1,000,000x = 81

x = \frac{81}{1,000,000}

x = 0.000081kg

Each tablet generally contains 0.000081kg of aspirin. How many such tablets may be prepared from 1 kg of aspirin?

1 tablet - 0.000081kg

x tablets - 1kg

0.000081x = 1

x = \frac{1}{0.000081}

x = 12,345 tablets

12,345 tablets may be prepared from 1 kg of aspirin.

4 0
2 years ago
The ratio of dogs to cats in the Bark and Meow Pet Center is 4:7. If there are 35 cats staying at the Bark and Meow Pet Center,
Harman [31]

Answer:

20.

Step-by-step explanation:

5x7=35

5x4=20

8 0
2 years ago
Read 2 more answers
Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni
trasher [3.6K]

For this case, the first thing we must do is define variables.

We have then:

t: the time in minutes

k: the number of kilometers

The relationship between both variables is direct.

Therefore, the function is:

k (t) = c * t

Where, "c" is a constant of proportionality.

To determine "c" we use the following data:

After running for 18 minutes, she completes 2 kilometers.

Substituting values:

2 = c * 18

Clearing c we have:

c = \frac{2}{18}

c = \frac{1}{9}

Then, the equation is given by:

k (t) = \frac{1}{9} * t

Answer:

An equation that can be used to represent k, the number of kilometers Julissa runs in t minutes is:

k (t) = \frac{1}{9} * t

7 0
2 years ago
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A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle
kherson [118]

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

Taking square root on both sides.

hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

5 0
2 years ago
Consider the equation StartFraction x over 5 EndFraction minus 2 = 11, where x represents the number of basketball players that
Free_Kalibri [48]

Answer:

just copy and paste below

Step-by-step explanation:

Step-by-step explanation:Sample Response: The equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. There will be 11 players on each team.

6 0
2 years ago
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