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faltersainse [42]
3 years ago
14

The file CEOSAL2.RAW contains data on 177 chief executive officers and can be used to examine the effects of firm performance on

CEO salary. (i) Estimate a model relating annual salary to firm sales and market value. Make the model of the constant elasticity variety for both independent variables. Write the results out in equation form. (ii) Add profits to the model from part (i). Why can this variable not be included in logarithmic form

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0

Find the given attachment for the solution

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The mass of the Eiffel tower is about 9.16 times 10^6 kilograms. The mass of the golden gate bridge is 8.05 times 10^8 kilograms
Andrew [12]
9.16x10^6 = 9160000
8.05x10^8 =805000000
805000000
- 9160000
__________
795840000
795840000 = 7.9584x10^8
8 0
3 years ago
Given that f(x) = x2 + 8x + 15 and g(x) = x + 5, find f(x) · g(x) and express
sukhopar [10]

The result of f(x) \times g(x) is x^3 + 13x^2+ 55x+ 75

<h3>Composite functions</h3>

Composite functions are functions that are gotten by combining multiple functions

<h3>The functions</h3>

The functions are given as:

f(x) = x^2 + 8x + 15

g(x) = x+5

To calculate f(x) * g(x), we have:

f(x) \times g(x) = [x^2 + 8x + 15] \times [x + 5]

Expand the above expression

f(x) \times g(x) = x^3 + 8x^2 + 15x + 5x^2 + 40x + 75

Collect like terms

f(x) \times g(x) = x^3 + 8x^2 + 5x^2+ 15x  + 40x + 75

Evaluate the like terms

f(x) \times g(x) = x^3 + 13x^2+ 55x+ 75

Hence, the result of f(x) \times g(x) is x^3 + 13x^2+ 55x+ 75

Read more about composite functions at:

brainly.com/question/10687170

4 0
2 years ago
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag
joja [24]

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

3 0
2 years ago
The football coach is overseeing the installation of new goal posts on the football field. He is wondering if the goal posts are
Westkost [7]

Answer:

Correct option is D. No, since the ratios of the corresponding sides are not proportional.

Step-by-step explanation:

Please refer to the attached figure

Let height of coach represents by AB = 6 feet

And shadow of coach represents by BC = 4 feet

Let height of goal post represents by DE = x feet

And Shadow of goal post represents by EF = 12 feet.

Since measurement of shadows are at same time. therefore  ratio of height of coach and height of goal post  must be same as ratio of shadow of coach and shadow of goal post.

⇒ 6/x = 4/12

⇒x = 72/4 = 18 feet

So goal post is not at regular height , since expected height is 20 feet while actual height is 18 feet . And if we consider value of x as 20 feet instead of 18 feet , ratio of corresponding sides will not match.

Hence correct answer is D. No, since the ratios of the corresponding sides are not proportional.

8 0
3 years ago
Your company gives you a cell phone plan which allows you 600 minutes to talk per month. So far this month, you have used 330 mi
Evgen [1.6K]
The answer is C) 10x + 330 ≤ 600. 
We use the ≤ since you are allowed to use the 600th minute.
When we subtract 330 from both sides, it makes a bit more sense
10x ≤ 270
270 is the number of minutes left your plan since you've already used 330, and you have 10 days left in the month. 
3 0
3 years ago
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