Each side of a square has a length of 5x. Use your area expression to find the area of the square when x = 2.2 centimeters. Show your work.
*edit (please it's 3:54 AM and I want to go to bed)

Answers

Answer 1

Answer:

121 centimeters ²

Step-by-step explanation:

Area of a square = length ²

Each side of a square = 5x

find the area of the square when x = 2.2 centimeters

Area of a square = length ²

= (5x)²

= 5x * 5x

= 5(2.2) * 5(2.2)

= 11 * 11

= 121 centimeters ²

Area of a square = 121 centimeters ²


Related Questions

What is the greatest common factor of 12 and 30?

A 2
B 3
C 6
D 12

Answers

Answer:

6 is the answer

Step-by-step explanation:

6

Answer:

C-  6

Step-by-step explanation:

12=

1,2,3,4,6,12

30=

1,2,3,5,6,10,15,30

hope this helps :) also, brainliest?? :)

Morgan purchased $30.46 worth of groceries. She paid the cashier with
a $50 bill. How much change should she receive?

marking brainliest
if right
+
how to get

Answers

Answer: 19.54

explanation:

50.00

-

30.46

----------------

19.54

Answer: 19.54$

Step-by-step explanation: 50.00

                                            -30.46

                                            = 19.54

If cos x = -√3/2
in which quadrants could a.
I and IV, only
b.
II and IV, only
c.
II and III, only
d.
I and III, only

Answers

Answer:

c

Step-by-step explanation:

find the zeros of the following equation using the quadratic formula y = x2 + 13x – 48​

Answers

x2+13x-48
(x-3)(x+16)
X=3, X=-16
3 and -16 are the Zeros

What is the standard deviation for a portfolio that has $3,500 invested in a risk-free asset with 5 percent rate of return, and $6,500 invested in a risky asset with a 15 percent rate of return and a 22 percent standard deviation?

Answers

The standard deviation for the portfolio is 7.65%. This value is calculated by considering the weights and standard deviations of the assets in the portfolio.

To calculate the standard deviation of a portfolio, we need to consider the weights and the standard deviation of each asset in the portfolio. In this case, we have $3,500 invested in a risk-free asset and $6,500 invested in a risky asset.

First, let's calculate the standard deviation of the risky asset:

Standard Deviation = 22%

Next, we need to calculate the weighted average of the standard deviations of the assets in the portfolio:

Weighted Standard Deviation = (Weight of Risky Asset * Standard Deviation of Risky Asset)

Weighted Standard Deviation = (0.65 * 22%)

Now, we can calculate the standard deviation of the portfolio using the weighted standard deviation:

Portfolio Standard Deviation = [tex]\sqrt{(Weighted Standard Deviation^2)}[/tex]

= [tex]\sqrt{(0.65 * 22\%)^2}[/tex] = [tex]\sqrt{(0.65^2 * (22\%)^2}[/tex] = [tex]\sqrt{(0.4225 * 0.484)}[/tex]  = [tex]\sqrt{0.204}[/tex]

Portfolio Standard Deviation = 0.452 = 7.65%

Therefore, the standard deviation for the portfolio is approximately 7.65%.

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No período: \"Quando analisaram o desempenho da economia brasileira, os empresários afirmaram sua satisfação\". As orações presentes são, respectivamente

a) principal, coordenada.

b) subordinada, subordinada.

c) subordinada, principal.

d) subordinada, coordenada.

Answers

Answer:

a

Step-by-step explanation:

the answer would be a

I need help with (G)

Answers

Answer:

[tex]2^{5}[/tex]

Step-by-step explanation:

4. Find the circumference of a circle with a
diameter of 20 centimeters.

Answers

Answer:

circumference = π(diameter) = 3.14(20) =62.8 cm

Step-by-step explanation:

Identify the zero(s) of this function (Desmos)

Answers

Answer:

x=2, -6

Step-by-step explanation:

[tex]3x^{2} +12x-36=0[/tex]

[tex]x^{2} +4x-12=0[/tex]     (Divided by 3)

[tex](x-2)(x+6)=0\\x_{1} =2, x_{2} =-6[/tex]








10. Identify the property illustrated by the following equations a. 3+ [6+(-3)] = 3 +(-3+6) b. [3+(-3)] + 6 = 0 +6

Answers

The property illustrated by the given equations is the commutative property of addition.

The commutative property of addition states that changing the order of the numbers being added does not affect the sum. In equation (a), we can see that the numbers inside the parentheses are being added first, and then the sum is added to the number outside the parentheses. Similarly, in equation (b), the numbers inside the parentheses are added first, and then the sum is added to the number outside the parentheses.

In both cases, regardless of the order in which the numbers are added, the final sum remains the same. This demonstrates the commutative property of addition. The property holds true for any real numbers, and it allows us to rearrange the terms without changing the result.

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jack has a square flower bed in his garden with perimeter 120 m, he wants to deconstruct this flower bed and turn it into a triangular flower bed with maximum area. if he wants the triangular flower bed to have the same perimeter as the square flower bed, then what would be the area of such a triangular flower bed(rounded off to the nearest integer)?

Answers

To find the maximum area for the triangular flower bed with the same perimeter as the square flower bed, we can use the concept of an equilateral triangle.

Let's denote the side length of the square flower bed as 's'. Since the perimeter of the square is 120 m, each side of the square will be s = 120 m / 4 = 30 m.

Now, for the triangular flower bed to have the same perimeter as the square flower bed, it should also have a perimeter of 120 m. In an equilateral triangle, all three sides are equal in length.

Let's denote the side length of the equilateral triangle as 't'. Since the perimeter of the equilateral triangle is 120 m, each side of the triangle will be t = 120 m / 3 = 40 m.

The formula for the area of an equilateral triangle is given by:

Area = (sqrt(3) / 4) * t^2

Substituting the value of t, we get:

Area = (sqrt(3) / 4) * (40 m)^2

Area ≈ 346.41 m^2

Rounded off to the nearest integer, the area of the triangular flower bed would be 346 m^2.

Write in terms of i
Simplify your answer as much as possible.
square root of -48

Answers

The square root of -48 is 2 because 2x2x2x2x2x2x is not -48

P(A)=0.30 P(B)=0.58 P(A and B)=0.25 Find P(BIA). Round your answer to two decimal places.

Answers

The conditional probability P(B|A) is approximately 0.83.

To find the conditional probability P(B|A), we can use the formula:

P(B|A) = P(A and B) / P(A)

Given that P(A and B) = 0.25 and P(A) = 0.30, we can substitute these values into the formula:

P(B|A) = 0.25 / 0.30

Performing the calculation:

P(B|A) = 0.8333...

Rounding the answer to two decimal places:

P(B|A) ≈ 0.83

Therefore, P(B|A) is approximately 0.83.

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PLEASE HELP!!!!!

Find the volume and surface area of the composite figure. Give your answer in terms of π.

Answer Options
V ≈ 661.3π cm3; S = 264π cm2
V = 328π cm3; S ≈ 1045.3π cm2
V ≈ 1045.3π cm3; S = 328π cm2
V = 400π cm3; S ≈ 661.3π cm2

Answers

Answer:

V ≈ 661.3π cm3; S = 264π cm2

Step-by-step explanation:

What is the range of the function f(x) = -4|x + 1| − 5?
A. (-∞, -5]
B. [-5, ∞)
C. [-4, ∞)
D. (-∞, -4]

Answers

Answer:

answer is A

Step-by-step explanation:

hope that helps

The range of the function f(x) = -4|x + 1| − 5 is (-∞, -5). The correct option is A.

What are a domain and range?

The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f. (x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.

The given function is f(x) = -4|x + 1| − 5. Plot the function on the graph and it is observed that the range of the function varies from -∞ tp 5.

The graph of the function is attached with the answer below. The absolute function has the vertex at (-1,-5).

Therefore, the range of the function f(x) = -4|x + 1| − 5 is (-∞, -5). The correct option is A.

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Explain the steps taken to write an equation from a description given in words.

Answers

Answer:

Step-by-step explanation:

10+10+20

5+5=10

6+4=10

10+10=20

Answer:

the person above me is incorrect

To write an equation from a description given in words, you first have to identify and define the variable. Then you would identify the coefficient, constants, and operations between the terms. Finally, you can translate to write the equation.

My brothers hw is 3x +(-6 + 3y)

Answers

Answer:

3x + 3y - 6

Step-by-step explanation:

3x - 6 + 3y =

3x + 3y - 6

The answer is y = 2 - x the work is shown in the photo


Which of the following Divisibility relationship is True and
which is False?


a) 13|78


b) -6 | 24


c) 11 | -33


d) 23 | 96


e) 5 |126

Answers

The True statements are: b) -6 | 24, c) 11 | -33, and e) 5 | 126. The False statements are: a) 13|78 and d) 23 | 96.

The divisibility relationships in question can be evaluated as follows:

a) 13|78 - This statement is False. The vertical line symbol "|" denotes divisibility, and in this case, it means that 13 divides evenly into 78. However, 13 does not divide evenly into 78 since 78 divided by 13 results in a remainder of 0. Therefore, the statement is false.

b) -6 | 24 - This statement is True. The negative sign in front of the 6 indicates a negative number. The vertical line symbol "|" signifies divisibility, so -6 divides evenly into 24. When 24 is divided by -6, the result is -4, with no remainder. Hence, the statement is true.

c) 11 | -33 - This statement is True. Similar to the previous example, the negative sign in front of the 33 indicates a negative number. The vertical line symbol "|" represents divisibility, so 11 divides evenly into -33. When -33 is divided by 11, the result is -3, with no remainder. Therefore, the statement is true.

d) 23 | 96 - This statement is False. Again, the vertical line symbol "|" indicates divisibility, and in this case, it means that 23 divides evenly into 96. However, 23 does not divide evenly into 96, as 96 divided by 23 leaves a remainder of 4. Therefore, the statement is false.

e) 5 | 126 - This statement is True. The vertical line symbol "|" represents divisibility, so 5 divides evenly into 126. When 126 is divided by 5, the result is 25, with no remainder. Hence, the statement is true.

To summarize, the True statements are: b) -6 | 24, c) 11 | -33, and e) 5 | 126. The False statements are: a) 13|78 and d) 23 | 96.

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Help me please I give points thank you

NO FAKE ANSWER PLS

Answers

Answer:it is #4

7:4

so 7 suv and 4 trucks

The answer would be the Third option

Given a A PQR with vertices P (2, 3), Q 1-3, 7) and R(-1, -3): The equation of median PM is :

Answers

The equation of the median PM in triangle PQR with vertices P(2, 3), Q(-3, 7), and R(-1, -3) is y = (1/3)x + 7/3.

To find the midpoint of QR, we calculate the average of the x-coordinates and the average of the y-coordinates. The x-coordinate of point M is (-3 + (-1))/2 = -2/2 = -1, and the y-coordinate of point M is (7 + (-3))/2 = 4/2 = 2.

Therefore, the coordinates of point M are (-1, 2). Now, we have two points, P (2, 3) and M (-1, 2), and we can find the equation of the line passing through these points using the point-slope form.

The slope of the line passing through P and M is (2 - 3)/(-1 - 2) = -1/-3 = 1/3. Using the point-slope form, we have:

y - 3 = (1/3)(x - 2)

Expanding and rearranging the equation, we get:

y = (1/3)x + 7/3

Therefore, the equation of the median PM in triangle PQR is y = (1/3)x + 7/3.

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uppose that 1 out of 50 cards in a scratchand-win promotion gives a prize. a) What is the probability of winning on your fourth try? b) What is the probability of winning within your first four tries? c) What is the expected number of cards you would have to try before winning

Answers

(A) The probability of not winning on the first three tries and winning on the fourth try is 0.000196. (B) The probability of winning within the first four tries is 0.0392 or 3.92%. (C) The expected number of cards you would have to try before winning is 50.

(A) The probability of winning on the fourth try can be calculated using the concept of independent events. Since the probability of winning on any single try is 1/50, the probability of not winning on any single try is 49/50.

The probability of not winning on the first three tries and winning on the fourth try

= (49/50) × (49/50) × (49/50) × (1/50)

= 0.000196

or 0.0196%.

(B) The probability of winning within the first four tries can be calculated by considering the complement event, which is the event of not winning in all four tries.

The probability of not winning on any single try is 49/50, so the probability of not winning in all four tries

= (49/50) * (49/50) * (49/50) * (49/50)

= 0.9608

or 96.08%.

Therefore, the probability of winning within the first four tries

=  1 - 0.9608
= 0.0392

or 3.92%.

(C) The expected number of cards you would have to try before winning can be determined using the concept of expected value. The probability of winning on any single try is 1/50.

Therefore, the expected number of cards you would have to try before winning is the reciprocal of the probability of winning on a single try, which is 50. Therefore, the expected number of cards you would have to try before winning is 50.

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Solve the inequality.
2x-5<9
The solution is:

Answers

Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

Consider the equation: −34=x^2−14x+10 1) Rewrite the equation by completing the square. 2) What are the solutions to the equation?

Answers

Answer:

1) x^2 - 14x + 44 = 0

(x^2 - 14x + 49) - 5 = 0

(x-7)^2 - 5 = 0

2)Assuming no complex number x...

(x-7)^2 = 5

x-7 = 5

x-7 = -5

x= 12, x=2

==============

Please give brainliest, I really want to rank up, thank you!

The answers to both the subparts of the equations are shown:

(A) Re-written equation by completing the square: (x-7)² - 5 = 0(B) Solutions of the equation: x = 12, x = 2

What are equations?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

So, the equation is:

−34 = x² −14x+10

(A) Rewrite the equation by completing the square:

−34 = x² −14x+10x² - 14x + 44 = 0(x² - 14x + 49) - 5 = 0(x-7)² - 5 = 0

(B) The solutions of the equation:

(x-7)² = 5x-7 = 5x-7 = -5x= 12, x=2

Therefore, the answers to both the subparts of the equations are shown:

(A) Re-written equation by completing the square: (x-7)² - 5 = 0(B) Solutions of the equation: x = 12, x = 2

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Select all the true sentences!!!

Answers

Answer:

only the 1st is true

Step-by-step explanation:

the rest are wronf

First is correct

...............

Please answer I will make brainlest:)

Answers

Answer:

(3,-4)

Step-by-step explanation:

£864.00 to be accrued
after £800 is invested with
2% pa simple interest.

Answers

Answer: 4 years

Step-by-step explanation:

Your question isn't complete but I believe that you want to calculate the number of years. This will be:

Simple Interest = PRT/100

where,

Interest = 864 - 800 = 64

Principal = 800

Rate = 2%

Therefore, 64 = 800 × 2 × T /100

Cross multiply

64 × 100 = 1600T

6400 = 1600T

T = 6400/1600

T = 4

Therefore, time will be 4 years


Given Galois field GF(2^4) with modulus IP= x^4+x^3+1: (4) How
many generators do the multiplicative group have? (5) List all the
generators of the multiplicative group.

Answers

In Galois field GF(2^4) with modulus IP = x^4 + x^3 + 1, there are eight generators in the multiplicative group, namely {x, x^3, x^5, x^6, x^7, x^9, x^11, x^12}, which have multiplicative orders equal to the order of the group (15) and generate all non-zero elements in the field.

To determine the generators of the multiplicative group in Galois field GF(2^4) with modulus IP = x^4 + x^3 + 1, we need to find elements that have multiplicative orders equal to the order of the group, which is 15.

The multiplicative group in a Galois field consists of all the non-zero elements. In this case, the elements of the field are polynomials of degree 3 or less with coefficients in GF(2) (the field with two elements, 0 and 1).

To find the generators, we can start by selecting an element from the field and compute its powers until we find an element whose power equals 1. The smallest power that gives 1 is the order of the element.

We can start with x, which represents the polynomial x^1. We compute its powers modulo the modulus IP:

x^2 = x * x = x^1 * x^1 = x^1

x^3 = x * x^2 = x^1 * x^1 = x^1

x^4 = x * x^3 = x^1 * x^1 = x^1

Since x^4 = x^1, the order of x is 4, which is not equal to the order of the multiplicative group (15). Therefore, x is not a generator.

We continue this process with other elements until we find generators. Let's try x^2:

(x^2)^2 = x^4 = x^1

(x^2)^3 = x^6 = x^2

(x^2)^4 = x^8 = x^4 = x^1

Since (x^2)^4 = x^1, the order of x^2 is 4, which is not equal to 15. Therefore, x^2 is not a generator.

We repeat this process with other elements until we find an element whose order is 15. Let's try x^3:

(x^3)^2 = x^6 = x^2

(x^3)^3 = x^9 = x^3

(x^3)^4 = x^12 = x^8 = x^4 = x^1

Since (x^3)^4 = x^1, the order of x^3 is 4, which is not equal to 15. Therefore, x^3 is not a generator.

We continue this process with x^4, x^5, and so on until we find a generator. After checking all possible elements, we find the following generators of the multiplicative group in GF(2^4) with modulus IP: {x, x^3, x^5, x^6, x^7, x^9, x^11, x^12}.

These eight elements have multiplicative orders equal to 15 and generate all the non-zero elements in the field under multiplication.

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Who can describe and correct the error in finding volume of the cone

Answers

6 is the diameter not the radius

Factor the expression: 5x^2 +12x+4
can anybody help?

Answers

Answer:

[tex](x + 2)(5x + 2)[/tex]

Step-by-step explanation:

What we would normally do when factoring a polynomial is find the greatest factor, but in this case, there is none. What we do then is multiply the coefficient of the first term by the last term.

So in this case, that expression would be...

[tex]5 * 4 = 20[/tex]

Then, we have to find two factors of 20 that, when added together, equal the second term's coefficient (12).

These factors would be 2 and 10.

[tex]2 * 10 = 20\\\\2 + 10 = 12[/tex]

We then replace the second term in the polynomial with [tex]10x + 2x[/tex]. This ends up looking like this:

[tex]5x^2 +10x + 2x +4[/tex]

Keep in mind that this did not change the value of the polynomial, as 10x + 2x still equals 12x.

This new expression lets us use a technique called group factoring. To start group factoring, we need to take out the greatest common factor (GCF) of the first two terms. That ends up looking like this:

[tex]5x(x + 2)[/tex]

Then, we do the same thing with the last two terms.

[tex]2(x + 2)[/tex]

We know we're on the right track at this point, because the expressions inside the parenthesis in both GCFs are the same.

The last step is combining the terms on the outside of the parenthesis, and multiplying it with what's inside the parenthesis. The final answer looks like this.

[tex](x + 2)(5x + 2)[/tex]

Which statement is true about Angle C P B?

Lines C D and A B intersect at point P.
It is supplementary to Angle A P C.
It is complementary to Angle A P C.
It is congruent to Angle A P C.
It is linear to Angle A P D.

Answers

Answer:

A. It is supplementary to angle APC

Step-by-step explanation:

Vocabulary:

Supplementary Angle - Two angles that when added together equal 180 degrees.

If we look at the graph provided which is attached below we can see that if we add angles CPB and APC it forms a straight line (a straight line always = 180 degrees) Making the answer A. It is supplementary to angle APC

Answer:

Step-by-step explanation:

Which statement is true about Angle C P B?

It is supplementary to Angle A P C.

It is complementary to Angle A P C.

It is congruent to Angle A P C.

It is linear to Angle A P D.

Other Questions
when was the dollar worth more than it was today? 2016 1960 1990 1880 Christaker is considering transitioning to a new job next year. He will either keep his current job which pays a net income of $80,000 or switch to a new job. If he changes jobs, his net income will vary depending on the state of the economy. He estimates that the economy will be Strong with 20% chance ($89,000 net income), Average with 40% chance ($78,000 net income), or Weak with 40% chance ($64,000 net income).Part A1. What is the best expected value for Christaker and the corresponding decision using the Expected Monetary Value approach? $ 2. What is the expected value of perfect information (EVPI)?$Part BChristaker can hire Sandeep, a mathematical economist, to provide information regarding the state of the economy next year. Sandeep will either predict a Good or Bad economy, with probabilities 0.45 and 0.55 respectively. If Sandeep predicts a Good economy, there is a 0.32 chance of a Strong economy, and a 0.64 chance of an Average economy. If Sandeep's prediction is Bad, then the economy has a 0.56 chance of being Weak and 0.3 chance of being Average.1. If Sandeep predicts Good economy, what is the expected value of the optimal decision? $2. If Sandeep predicts Bad economy, what is the expected value of the optimal decision? $3. What is the expected value with the sample information (EVwSI) provided by Sandeep? $4. What is the expected value of the sample information (EVSI) provided by Sandeep? $5. If cost of hiring Sandeep is $455, what is the best course of action for Christaker? Select an answer Don't hire Sandeep; cost is greater than EVSI Hire Sandeep; cost is greater than EVSI Hire Sandeep; cost is less than EVSI Don't hire Sandeep; cost is less than EVSI6. What is the efficiency of the sample information? 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Explain. (2 marks) b. Why does the default risk premium vary over the business cycle? (3 marks) BO Barnacle Industries was awarded a patent over 15 years ago for a unique industrial strength cleaner that removes barnacles and other particles from the hulls of ships. Thanks to its monopoly position, Barnacle has earned more than $160 million over the past decade. Its customers-spanning the gamut from cruise lines to freighters-use the product because it reduces their fuel bills. The annual (inverse) demand function for Barnacle's product is given by P-450 - 0.0003Q, and Barnacle's cost function is given by q) = 280Q. Thanks to subsidies stemming from an energy bill passed by Congress nearly two decades ago, Barnacle does not have any fixed costs: The federal government essentially pays for the plant and capital equipment required to make this energy-saving product. Absent this subsidy, Barnacle's fixed costs would be about $7 million annually. Knowing that the company's patent will soon expire. Marge, Barnacle's manager, is concerned that entrants will qualify for the subsidy, enter the market, and produce a perfect substitute at an identical cost. With interest rates at 5 percent, Marge is considering a limit pricing strategy. What would Barnacle's profits be if Marge pursues a limit-pricing strategy if the subsidy is in place? $____ Instructions: Enter your responses to the nearest penny (two decimal places). What would Barnacle's profits be if Marge convinces the government to eliminate the subsidy? What would be the profit of a new entrant if the subsidy is eliminated and Barnacle continues to produce the monopoly level of output? 3. Voluntary contributions toward a public good Susan and Becky are considering contributing toward the creation of a water fountain. Each can choose whether to contribute $300 to the water fountain or to keep that $300 for a cell phone. Since a water fountain is a public good, both Susan and Becky will benefit from any contributions made by the other person. Specifically, every dollar that elther one of them contributes will bring each of them $0.90 of benefit. For example, if both Susan and Becky choose to contribute, then a total of 5600 would be contributed to the water fountain. So, Susan and Becky would each receive $540 of benefit from the water fountain, and their combined benefit would be $1,080. This is shown in the upper left cell of the first table. Since a cell phone is a private good, If Susan chooses to spend $300 on a cell phone, Susan would get $300 of benefit from the cell phone and Becky wouldn't receive any benefit from Susan's choice. If Susan still spends $300 on a cell phone and Becky chooses to contribute $300 to the water fountain, Susan would still receive the $270 of benefit from Becky's generosity. In other words, If Susan decides to keep the $300 for a cell phone and Becky decides to contribute the $300 to the public project, then Susan would receive a total benefit of $300 + $270 = $570, Becky would receive a total benefit of $270, and their combined benefit would be s840. This is shown in the lower left cell of the first table. Complete the following table, which shows the combined benefits of Susan and Becky as previously described. Becky Doesn't contribute S Contributes $1,000 $840 Contributes Doesn't contribute Susan of the four cells of the table, which gives the greatest combined benefits to Susan and Becky? When both Susan and Becky contribute to the water fountain When neither Susan nor Becky contributes to the water fountain When Susan contributes to the water fountain and Becky doesn't, or vice versa of the four cells of the table, which gives the greatest combined benefits to Susan and Becky? O When both Susan and Becky contribute to the water fountain When neither Susan nor Becky contributes to the water fountain O When Susan contributes to the water fountain and Becky doesn't, or vice versa Now, consider the incentive facing Susan individually. The following table looks similar to the previous one, but this time, it is partially completed with the individual benefit data for Susan. As shown previously, if both Susan and Becky contribute to a public good, Susan receives a benefit of $540. On the other hand, if Becky contributes to the water fountain and Susan does not, Susan receives a benefit of $570. Complete the right-hand column of the following table, which shows the individual benefits of Susan. Hint: You are not required to consider the benefit of Becky. Becky Doesn't contribute Contribute $540, -- Contribute $ Susan Doesn't contribute $570, -- If Becky decides to contribute to the water fountain, Susan would maximize her benefit by choosing the other hand, if Becky decides not to contribute to the water fountain, Susan would maximize her benefit by choosing to the water fountain. On to the water fountain. These results illustrate Doesn't contri the free-rider problem to the water fountain. On the Tragedy of the Commons If Becky decides to con Juld maximize her benefit by choosing the other hand, if Beck the creation of a positive externality fountain, Susan would maximize her benefit by choosing water fountain. why markets are efficient to the These results illustrate the Tragedy of the Commons Read the excerpt from Hidden Figures.As the work intensified, something that had been hibernating in her mind awakened, and once roused it would not go away. She considered the issue and checked its logic, just as she did with her analytical work. At first she asked it only of herself, but eventually she came to the engineers with the question."Why can't I go to the editorial meetings?" she asked the engineers. A postgame recap of the analysis wasn't nearly as thrilling as being there for the main event. How could she not want to be a part of the discussion? They were her numbers, after all."Girls don't go to the meetings," Katherine's male colleagues told her.Which statements best summarize the excerpt? Katherine Goble became more dedicated to her job as the work intensified. She asked to go to the editorial meetings so she could better understand what happened in them, but she was told that girls were not allowed to attend the meetings. Katherine Goble became more determined to ask for a larger role as the scope of the work grew.Unsatisfied with summaries of the analysis that took place in the meetings, she asked why she could not go to the editorial meetings and was told that girls could not attend. Katherine Goble became upset that she was not allowed to attend editorial meetings as her work became more involved. When she asked why she could not attend the meetings, she was given an unfair answer that upset her. Katherine Goble confronted an issue that had been hibernating in her mind and that would not go away.She approached the situation logically, as she did with all of her work. When she asked why she could not attend the meetings, she was told that girls could not go. Skiles Coporation is a manufacturer of classic rocking chairs. The company has been using a particular sanding and finishing machine for over 10 years and believes that it may be time to replace the machine. The company is trying to decide whether replacing the old machine is a wise economic decision. The company's controller pulled together the following information on the old machine and the new possible replacement machine. what does descartes say distinguishes human beings from "the beast", i.e., other living creatures/animals? Estimating the Weighted Average Cost of CapitalKellogg Company manufactures cereal and other convenience food under its many well-known brands such as Kelloggs, Keebler, and Cheez-It. The company, with over $13.5 billion in annual sales worldwide, partially finances its operation through the issuance of debt. At the beginning of its 2015 fiscal year, it had $6.5 billion in total debt. At the end of fiscal year 2015, its total debt had increased to $6.6 billion. Its fiscal 2015 interest expense was $227 million, and its assumed statutory tax rate was 37%. Kellogg has an estimated market beta of 0.60. Assume that the expected risk-free rate is 2.5% and the expected market premium is 5%.Kelloggs stock closed at $76.38 on December 31, 2015. On that same date, the company had 420,315,589 shares issued, of which 70,291,514 shares were in treasury.a. What is Kelloggs total market capitalization as of December 31, 2015?Enter answer in billions, rounding to one decimal place.$AnswerCorrectMark 1.00 out of 1.00billionb. Compute Kelloggs WACC.Use your rounded answer above for computation.Round answer to one decimal place (ex: 0.0245 = 2.5%).