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xxTIMURxx [149]
3 years ago
9

A company has a policy making the compensation of its CEO proportional to the dividends that are paid to shareholders. If the di

vidends increase from $72 to $80 and the CEO’s compensation is increased from $360,000 to $420,000, was the company’s policy followed?
Mathematics
1 answer:
Serggg [28]3 years ago
3 0
Well... looking at proportions, we're being asked \bf \cfrac{72}{360000}=\cfrac{80}{420000}\impliedby \textit{are those proportions the same?}
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Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet
goblinko [34]

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

Step-by-step explanation:

Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

Distance = speed × time

Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

x + y = 760 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

y = 685 - 610 = 75mph

3 0
3 years ago
What is the rule for the reflection? rx-axis(x, y) → (â€"x, y) ry-axis(x, y) → (â€"x, y) rx-axis(x, y) â†
malfutka [58]

The rule for the reflection is explained below. The correct option will be x-axis (x, y) = (x, -y).

In real life, we think of a reflection as a mirror image, like when we look at own reflection in the mirror.

This idea of reflection correlating with a mirror image is similar in math.

<h3>Reflection Over the X Axis </h3>

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image.

In this case, the x axis would be called the axis of reflection.

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

When point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4.

<h3>Reflection Over the Y Axis </h3>

A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image.

In this case, the Y axis would be called the axis of reflection.

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y-value the same.

when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4).

Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5.

Hence the correct option is r x-axis(x, y) = (x, -y).

For more details on reflection follow the link:

brainly.com/question/4998744

6 0
2 years ago
Simplifying expressions with negative exponents calculator
Marizza181 [45]
Use the website:     mathpapa.com/algebra-calculator.html
3 0
3 years ago
What is the relationship between the ratios?
salantis [7]

Answer: proportional

Step-by-step explanation: cuz i took the test and i was correct

4 0
2 years ago
White a multiplication equation and a division equation that compare the number of points derek acored durin game 1(x) to the nu
Juli2301 [7.4K]

The correct question is:

The graph attached shows the number of points Derek scored

during his first five basketball games.

Write a multiplication equation and a division equation that compare the number of points Derek scored during Game 1 (x) to the number of points Derek scored during Game 4 (y).

Answer:

Multiplication equation is y = 3x

Division equation is x = y/3

Step-by-step explanation:

During Game 1, Derek had 6 points

Let x be this point, that is

x = 6

During Game 4, he had 18 points

Let y be this point, that is

y = 18

Notice that he has three times as many point in Game 4 as he had in Game 1. (Because 18 is 6 × 3)

This can be written mathematically as

18 = 6 × 3

y = x × 3 (where y is 18, and x is 6)

y = 3x (this is multiplication equation)

If you divide both sides by 3, we have

x = y/3 (this is the division equation)

4 0
3 years ago
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