A company has a policy making the compensation of its CEO proportional to the dividends that are paid to shareholders. If the dividends increase from $72 to $80 and the CEO’s compensation is increased from $360,000 to $420,000, was the company’s policy followed? yes or no

Answers

Answer 1

Answer: Percentage increase of dividends:
[(80-72)/72] x 100 = 11.1% increase

Percentage increase of CEO compensation:
[(420000-3600000/3600000] x 100 = 16.67% increase

Therefore the company policy was not followed as the CEO's compensation had a greater percentage increase than the dividends to the shareholders

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Johnny stated "All prime numbers are odd." Charlene responded, "I can demonstrate that your statement is false."Which explanation is sufficient to prove Johnny's statement is false?

Answer choices are
A)Many prime numbers have a difference of two, such as 5 and 7, 11 and 13, and 41 and 43.

B)The numbers 15, 35, 21, are all odd, but not prime numbers.

C)There could be a very large number that is even and prime.

D)The number 2 is a counterexample.

Answers

Only number 2 is prime and even number.

Option D is correct.

Prime and even number :

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

A factor is a whole number that can be divided evenly into another number.

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29.

An even number is a number that can be divided into two equal groups.

An odd number is a number that cannot be divided into two equal groups.

From above definition of numbers, It is observed that 2 is prime and even number.

Thus, statement "All prime numbers are odd " is false.

Learn more about the Number system here:

brainly.com/question/17200227

$\text{Hello There!}$

$\bf\text{All prime numbers are ultimately odd besides 2 because it is a factor.}$

$\text{Therefore, he would be close, but incorrect at some extent.}$

$\bold{So\;D\;would\;be\;your\;answer.}$

$\huge\text{I hope this helped! (:}$

$\rule{250}{1.5}$

For a project in her Geometry class, Chee uses a mirror on the ground to measure theheight of her school's football goalpost. She walks a distance of 14.35 meters from the
goalpost, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.4 meters to the other side of the mirror, until she can see the top of
the goalpost clearly marked in the X. Her partner measures the distance from her
eyes to the ground to be 1.65 meters. How tall is the goalpost? Round your answer to
the nearest hundredth of a meter.

Answers

The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.

Correct response:

The eight of the goalpost is approximately 16.91 meters.

Methods used to calculate the height

The length Chee is using the mirror to measure = The height of her school's football goalpost

The distance of the mirror from the goalpost = 14.35 meters

The distance on the other side of the mirror Chee steps to = 1.4 meters

The distance from her eyes to the ground =1.65 meters

Required:

How tall is the goalpost.

Solution:

By using similar triangles relationships, we have;

$(1.65)/(1.4) = \mathbf{(Height \ of \ the \ goalpost, h)/(14.35) }$

Which gives;

$h = (1.65)/(1.4) * 14.35 = 16.9125 \approx \mathbf{ 16.91}$

The height of the goalpost, h ≈ 16.91 meters

Learn more about similar triangles here:

brainly.com/question/10676220

1200+0.075x>=3300 what is the solution to the inequality

Answers

Solving inequalities is just like solving any other Algebraic problem...look to P.E.M.D.A.S. (Parenthesis, Exponents, Division, Addition, Subtraction). So lets take a look at this problem now.

1200 + 0.075x $\geq$ 3300

Subtract 1200 from both sides...
0.075x $\geq$ 2100

Now divide by 0.075...
x $\geq$ 28000

NOTE: If you divide or multiple by a negative number while solving inequalities, you must flip the sign. Ex: You answer would be x $\leq$ 28000 if you would've multiplied or divided by a negative.

What is the greatest common factor
15abc^2 and 25a^3bc

Answers

To find the greatest common factor, first find the largest evenly divisible number that you can take out in both numbers, in this case 15 and 25. Then find the greatest or highest number of each variable that you can evenly take out or divide in both terms, this is for a, b and c.

So GCF of 15 and 25 would be 5
GCF of a = a^1 or a
GCF of b = b^1 or b
GCF of c = c^1 or c
Put everything together to find the GCF.
GCF = 5abc.

What is the value (x)?