please tell methe cords of the answer

Please Tell Methe Cords Of The Answer

Answers

Answer 1

Answer:

(- 2, - 4 )

Step-by-step explanation:

4x - 3y = = 4 → (1)

3x + 3y = - 18 → (2)

adding the equations term by term will eliminate y

(4x + 3x) + (- 3y + 3y) = 4 - 18

7x + 0 = - 14

7x = - 14 ( divide both sides by 7 )

x = - 2

substitute x = - 2 into either of the 2 equations and solve for y

substituting into (2)

3(- 2) + 3y = - 18

- 6 + 3y = - 18 ( add 6 to both sides )

3y = - 12 ( divide both sides by 3 )

y = - 4

solution is (- 2, - 4 )


Related Questions

Bozo can read at a rate of 300 words every four minutes. what is his rate of reading in words per minute?

Answers

Answer:

Bozo's rate of reading in words per minute is 75 (300 words / 4 minutes = 75 words/minute).

Step-by-step explanation:

Mark Brainliest!!

Answer: 75 words per minute

Step-by-step explanation:

     We will divide 300 words by 4 to find the rate of words per minute since the original rate is words per four minutes.

                       300 / 4 = 75 words per minute

3×2×1+3+8+6+7-9-9÷7×0×1=?​

Answers

Answer:

3 × 2 × 1 + 3 + 8 + 6 + 7 - 9 - 9 ÷ 7 × 0 × 1

= 6 + 3 + 8 + 6 + 7 - 9 - 0

= 31 - 9

= 22

Therefore, the value of the expression is 22

Select the correct answer.
What is √81y6 in simplest form?
A. 3√/9y
B. 9y^4
C.3 √9y^2
D.9y^3

Answers

The answer for this question is D

dude what is this i dont understand

Answers

Answer:

g(1) = 1

Step-by-step explanation:

the absolute value function always gives a positive result, that is

| - a | = | a | = a

to evaluate g(1) substitute x = 1 into g(x)

g(1) = - 3| 1 - 2| + 4

    = - 3| - 1| + 4

   = - 3(1) + 4

  = - 3 + 4

  = 1

 

Rectangle ABCD is shown on the coordinate plane below. What is the perimeter of rectangle ABCD? If necessary, round your answer to the nearest tenth.

Answers

The area of the given rectangle is 34 squared units.

How to find the area of the rectangle

Determining the area of a rectangle with the coordinates

A(-5, 3), B(3, 5), C(4, 1), and D(-4, -1)

can be achieved through using the distance formula to calculate the magnitude of its sides and then applying the formula for the area pf rectangle we find the area.

Length of Side AB:

= square root of [(3 - (-5))^2 + (5 - 3)^2]

= square root of 68

Length of Side BC:

= square root of [ (4-3)^2 + (1 - 5)^2]

= square root of 17

Area of this rectangle  

= side AB × Side BC

= square root[68] x square root[17]

= square root of [68 times 17]

= square root of 1156

= 34 Square Units

Learn more about area of rectangle at

https://brainly.com/question/2607596

#SPJ1

What is the value of x in the equation 4x+2x-3=15?​

Answers

Answer:

x = 3

Step-by-step explanation:

4x + 2x - 3 = 15 ← collect like terms on left side

6x - 3 = 15 ( add 3 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

Answer:

x=3

Step-by-step explanation:

You can start of by adding 4x and 2x because they both share the same variable "x". Now you have 6x-3=15. Using the addition property of equality, you can add 3 on both sides of the equation to cancel it out. You are left with 6x=18. Divide both sides by 6 and that leaves you with x=3

Please help with this question I’m stuck brainiest and points will be rewarded

Answers

Matching of the statements with their respective linear equations are:

1) The line contains (0, -8) and a slope of 3/2: y = ³/₂x - 8

2) A line that contains the point (0, -2) and (4, 0): 2y - x = -4

3) y-intercept is (0, -2) and slope is -3/4: y = -³/₄x - 2

4) A line that has a slope of 5/3 and a y-intercept of -4: 5x + 3y = -12

How to Identify the linear equation?

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

1) The line contains (0, -8) and a slope of 3/2

The only option that even has a slope of 3/2 is option B with the equation: y = ³/₂x - 8

2) A line that contains the point (0, -2) and (4, 0)

The only one that fits this is option C with the equation:

2y - x = -4

3) y-intercept is (0, -2) and slope is -3/4.

This means the only equation that matches it is:

y = -³/₄x - 2

4) A line that has a slope of 5/3 and a y-intercept of -4.

This means the only equation that matches it is:

5x + 3y = -12

Read more about Linear Equation at: https://brainly.com/question/28732353

#SPJ1

Assume that the speed of automobiles on an expressway during rush hour is normally distributed with mean of 62 mph and a standard deviation of 5 mph.

What percent of cars are traveling slower than 62 mph?

Write your percentage as a decimal (so 12% = 0.12)!

Answers

The percentage of cars traveling slower than 62 mph during rush hour is 0.5 or 50%.

Since the speed of automobiles on an expressway during rush hour is normally distributed with a mean of 62 mph and a standard deviation of 5 mph, we can use the cumulative distribution function (CDF) of the normal distribution to find the percentage of cars traveling slower than 62 mph.

Let X be the speed of an automobile on the expressway during rush hour. Then, X follows a normal distribution with mean (µ) = 62 mph and standard deviation (σ) = 5 mph.

We want to find P(X < 62), which represents the probability that a car is traveling slower than 62 mph.

Using the standard normal distribution table or a calculator with built-in functions for the normal distribution, we can find the z-score corresponding to the value X = 62, using the formula;

z = (X - µ) / σ

Plugging in the given values;

z = (62 - 62) / 5 = 0

Now, we can find the cumulative distribution function (CDF) of the standard normal distribution at z = 0, denoted as Φ(0), which represents the probability that a standard normal random variable is less than or equal to 0.

Using the standard normal distribution table or a calculator with built-in functions for the normal distribution, we can find Φ(0) to be approximately 0.5.

So, P(X < 62) = Φ(0)

= 0.5

Therefore, the percentage of car is 0.5 or 50%

To know more about cumulative distribution function here

https://brainly.com/question/15353924

#SPJ1

Factor each polynomial function. Based on these factors, which polynomial’s graph crosses the x-axis at only one point? A. f ⁡ ( x ) = x 3 − 7 ⁢ x 2 + 3 ⁢ x − 21 B. f ⁡ ( x ) = x 3 − 3 ⁢ x 2 − 4 ⁢ x + 12 C. f ⁡ ( x ) = x 3 + 2 ⁢ x 2 − 9 ⁢ x − 18 D. f ⁡ ( x ) = x 3 − 2 ⁢ x 2 − 16 ⁢ x + 32

Answers

Based on these factors, the polynomial that graph crosses the x-axis at only one point is A. f ⁡ ( x ) = x ³ − 7 ⁢x² + 3 ⁢x − 21

What is a polynomial?

A polynomial in mathematics is a mathematical statement made up of variables (also known as indeterminates) and coefficients that only include the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Polynomials are a fundamental algebra topic that is used in many areas of mathematics. A polynomial's degree is the largest exponent of the variable x in the expression. The correct option is A.

Learn more about polynomial on

https://brainly.com/question/2833285

#SPJ1

Andrew deposits $40 in a saving account earning5% interest, compounded annually. Which function can be used to determine the amount of money in the savings account after x years

Answers

The function that can be used to determine the amount of money is f(x) = 40 * (1.05)^x

Which function can be used to determine the amount of money

From the question, we have the following parameters that can be used in our computation:

Principal = 40

Rate = 5% annually

Time = x

The function that can be used to determine the amount of money is represented as

f(x) = P * (1 + r)^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 40 * (1 + 5%)^x

Evaluate

f(x) = 40 * (1.05)^x

Hence, the function is f(x) = 40 * (1.05)^x

Read more about compound interest at

https://brainly.com/question/28020457

#SPJ1

opic: Choosing ping-pong balls without replacement.
There are 6 white and 3 orange ping-pong balls in a brown paper bag. Two balls are randomly chosen.
Enter your answers as fractions. They do not need to be reduced.
(The "Preview" simply displays your answer in nice mathematical text.
It does not mean that your answer is either right or wrong.)
a) How many total balls are in the bag at the start?

b) What is the probability that the 1st ball is orange?
P(1st = orange) =

c) What is the probability that the 2nd ball is also orange, given that the 1st ball was orange?
P(2nd = orange | 1st = orange) =

d) What is the probability that both the 1st and the 2nd balls are orange

Answers

a) The total number of balls in a bag is 9.

b) The probability that the first ball chosen is orange is 1/3.

c) The probability that the 2nd ball is also orange is 1/4.

d) The probability that both balls are orange is 1/12.

Given that:

Balls, White = 6 and Orange = 3

a) The total of ping-pong balls in the bag at the start is calculated as,

Total ball = 6 + 3

Total ball = 9

b) The probability that the first ball chosen is orange is calculated as,

P(Orange) = 3/9

P(Orange) = 1/3

c) There will be 8 balls in the bag, of which 2 are orange if the first ball selected was an orange ball. Then the probability is calculated as,

P(Orange) = 2/8

P(Orange) = 1/4

d) The product rule of probability may be used to determine the likelihood that the first and second balls are both orange:

P(Orange and Orange) = 1/3 x 1/4

P(Orange and Orange) = 1/12

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Solve the equation and check your solution. 5 t = 7 and one-half Multiply 5t by 5; the answer is 7 and one-half. Divide 5t by 5; the answer is 7 and one-half. Divide both sides by 5; the answer is 1 and one-half. Multiply both sides by 5; the answer is 37 and one-half.

Answers

Answer:  the answer is 13 and one-half

Step-by-step explanation:

C

Step-by-step explanation:

A marble is selected at random from a jar containing 10 red marbles, 50 yellow marbles, and 40 green marbles. Find the theoretical probability that it is
either red or green.
P(red or green) = (Type an integer or a simplified fraction.)

Answers

Answer:0.5.

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

hope this helps

Find the average of 327 and 827

Answers

Answer:

577

Step-by-Step Explanation:

577 is right between 327 and 827.

327+827=1,154

1,154/2=577

The table shows the​ distribution, by age and​ gender, of the million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 1824 age range living alone.

Answers

The probability that a randomly selected person in the region is a woman in the 18-24 age range living alone is approximately 0.14 or 14%.

To find the probability that a randomly selected person in the region is a woman in the 18-24 age range living alone, we need to look at the intersection of the "Female" row and the "0-24" age column in the table.

The probability of selecting a woman in the 18-24 age range living alone is:

P(woman, 18-24, living alone) = (Number of women in the 18-24 age range living alone) / (Total number of people living alone)

From the table, we can see that the number of women in the 18-24 age range living alone is 20.9. The total number of people living alone is 153.6.

P(woman, 18-24, living alone) = 20.9 / 153.6

P(woman, 18-24, living alone) = 0.1362 or approximately 0.14

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

The complete question:

The table shows the​ distribution, by age and​ gender, of the million people in a certain region who live alone. Use the data in the table to find the probability that a randomly selected person in the region is a woman in the 1824 age range living alone. Age |0-24|25-49|50+ |Total

Male|21.9|25.3 |28.6|75.8

Fem |20.9|26.1 |30.8|77.8

Tot |42.8|51.4 |59.4|153.6

the function h is defined by the following rule. h(x)=4x+5 complete the function table

Answers

For the function h(x) the values of h(x) when x=0,1,2,3,4,5 are 5, 9, 13,17,21,25 respectively

The given function is h(x) 4x+5

h of x equal to four times of x plus five

We have to find the values of h(x) for different values of x

x=0, h(x) = 5

x=1, h(x)=9

x=2, h(x)=13

x=3, h(x)=17

x=4, h(x)=21

x=5, h(x)=25

Hence, for the function h(x) the values of h(x) when x=0,1,2,3,4,5 are 5, 9, 13,17,21,25 respectively

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

PLEASE HELP (WILL GIVE BRAINLIEST)

Answers

Answer:

[tex] \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} [/tex]

V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters

The closest answer is 1,001.73 square meters.

Please answer asap!! what is the equation that best models the data from the table after the data has been linearized?

Answers

The equation that best models the data from the table after the data has been linearized is y=294755 * 1.21728^x. This equation follows an exponental model.

When is the exponential model best used for an equation?

Looking at the data, it is very evident that it is not increasing linearly but rather exponentially.

An exponential equation has the general pattern of formula which y = ab^x, where a is the main value and b is the growth factr.

The question below is as seen in the picture, and the above answer is dependent on it.

What is the equation that best models the data from the table after the data has been linearized?

X                                 y

2                                4.4

7                               18.2

13                              120.0

19                              715.4

22                            1,768.3

26                            5,775.9

30                           10.508.5

(1 point)

logy=0.12502x+0.427231

y=1,350 76x+1,350.76

y=294755 * 1.21728^x

y=5,927 281og x-3,880 59

Find more exercises on exponential model;

https://brainly.com/question/10309631

#SPJ1

A
Find the measure of each side indicated.
Round to the nearest tenth.
8)
X
5 C
58°
B

Answers

The value of the measure of each side indicated are,

⇒ x = 12.48

⇒ BC = 16

We have to given that;

In triangle ABC;

AC = x

AB = 10

Hence, We can formulate;

⇒ tan 58° = BC / AB

⇒ 1.60 = BC / 10

⇒ BC = 16

By using Pythagoras theorem;

⇒ x² + 10² = 16²

⇒ x² = 256 - 100

⇒ x² = 156

⇒ x = 12.48

Thus, The value of the measure of each side indicated are,

⇒ x = 12.48

⇒ BC = 16

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

1) Consider the quadratic function: f (x) = (x + 3)2 – 2 and a function, g(x), which is created by translating
f (x) three units to the right, two units up, and reflected vertically over the x-axis. Complete the following tasks:
a) 15 points: Graph f (x) on the axes below and label it. Graph g(x) on the axes below and label it.
10 points: Write the vertex form equation for g(x) below.

Answers

A graph of f(x) is shown in the image below.

A graph of f(x) is shown in the image below.

The vertex form equation for g(x) is g(x) = -x²

What is a translation?

In Mathematics and Geometry, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

Since the parent function is f(x)= (x + 3)² - 2, g(x) would be created by translating f(x) three units to the right, two units up, and reflected vertically over the x-axis as follows;

f(x) = (x + 3)² - 2

g(x) = -[(x + 3 - 3)² - 2 + 2]

g(x) = -x²

Read more on function and translation here: https://brainly.com/question/31559256

#SPJ1

Please help!!!!! I am in need of it, this is for math nation unit 1 and im failing!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

use the table, when it asks f(2) that says what is the output *y) when the input is 2. Find when x=2 your answer is the y value, f(2)=5

The question is on the image when u get the answer get back to me asap

Answers

Answer:

Step-by-step explanation:

y=-2x+2

The Downtown Community Barbecue served 404 dinners. A child's plate cost $2.80 and an adult's plate cost $6.90. A total of $1,963.50 was collected. How many of each type of plate was served? Round answers to the nearest whole person.

Answers

The number of childs plate are 201 and  adult's plate are 203.

Let's use C to represent the number of child plates and A to represent the number of adult plates.

We know that a child's plate costs $2.80 and an adult's plate costs $6.90.

Therefore, we can write two equations based on the information given:

The total number of plates served is 404

C + A = 404 ...(1)

C=404-A

The total amount collected is $1,963.50

2.8C + 6.9A = 1963.5 ..(2)

2.8(404-A)+6.9A= 1963.5

1131.2 - 2.8A +6.9A=1963.5

4.1 A =1963.5 -1131.2

4.1A=832.3

Divide both sides by 4.1

A=832.3/4.1

A=203

Now put A in equation (1)

C+203=404

C=404-203

C=201

Hence, the number of childs plate are 201 and  adult's plate are 203.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

A plane is heading due east with a ground speed of 398 mph. A 50-mph wind is blowing at a bearing 48 degrees. Find the planes resulting speed.

Answers

The plane's resulting speed is approximately 401.5 mph.

Can u mark my answer as the Brainlyest if it work Ty

an octagonal prism has a surface area of 50mm^2 and a volume of 88 mm^3 Another octagonal prism has a surface area of 450mm^2 and a volume of 792mm^3. Are these two shapes similar ? Explain your answer

Answers

The two octagonal prisms are similar because their corresponding sides are proportional.

How do we determine the octagonal prisms are similar?

We can find out if two octagonal prisms are similar by checking if they have the same shape but may be different sizes. Two shapes are similar if their corresponding sides are proportional, and their corresponding angles are congruent.

Let's represent the dimensions of octagonal prism1:

Base edge length = a

Height = h

The octagonal prism2 dimensions:

Base edge length = b

Height = k

From the surface area and volume equations of an octagonal prism, we have the following system of equations:

50 = 2a² + 8ah

88 = 2a²h

450 = 2b² + 8bk

792 = 2b²k

We can simplify these equations by dividing the second equation by the first, and the fourth equation by the third, to eliminate h and k:

88/50 = 2a²h / (2a² + 8ah) => 44/25 = h / (a + 2h)

792/450 = 2b²k / (2b² + 8bk) => 44/25 = k / (b + 2k)

Then, we rearrange the equations to obtain expressions for h and k in terms of a and b, respectively:

h = (44/25) * (a + 2h)

k = (44/25) * (b + 2k)

Multiplying both sides of each equation by 25/19, we obtain:

h = (44/19) * a

k = (44/19) * b

We can now check if the corresponding sides are proportional:

Base edge length = a:b = 1:3

Height = h:k = 1:3

Since the corresponding sides are proportional, the two octagonal prisms are similar.

Learn more about octagonal prisms at brainly.com/question/30208150

#SPJ1

List at least five combinations of nickels and dimes such that the total value of the coins is 80 cents.

Answers

Here are five combinations of nickels and dimes that add up to 80 cents:

4 dimes and 4 nickels

3 dimes and 7 nickels

2 dimes and 12 nickels

1 dime and 16 nickels

8 dimes and 4 nickels

Mitra drives her car 469.8 miles and uses 14.5 gallons of gasoline. Adira drives her car 355 miles and uses 12.5 gallons of gasoline. What is the difference between the gas mileage for Mitra's car (in miles per gallon) and the gas mileage for Adira's car (in miles per gallon)?

A) 2 miles per gallon
B) 4 miles per gallon
C) 8 miles per gallon
D) 9 miles per gallon

Answers

Answer:

4 miles per gallon. Answer choice B is correct.

Step-by-step explanation:

To find the gas mileage for each car, we need to divide the distance traveled by the amount of gasoline used.

For Mitra's car, the gas mileage is:

gas mileage = distance traveled / amount of gasoline used

gas mileage = 469.8 / 14.5

gas mileage = 32.4 miles per gallon

For Adira's car, the gas mileage is:

gas mileage = distance traveled / amount of gasoline used

gas mileage = 355 / 12.5

gas mileage = 28.4 miles per gallon

To find the difference in gas mileage, we can subtract the gas mileage for Adira's car from the gas mileage for Mitra's car:

difference = gas mileage for Mitra's car - gas mileage for Adira's car

difference = 32.4 - 28.4

difference = 4 miles per gallon

Therefore, the difference in gas mileage between the two cars is 4 miles per gallon. Answer choice B is correct.

The answer…………………..:

Answers

Answer:

what?

Step-by-step explanation:

What is the question


Step by step

Find the equation of a line that passes through the point ( 4 , 2 ) that is perpendicular to the line y = 4 3 x . Show your work.

Answers

The equation of the line that passes through the point (4, 2) and is perpendicular to the line y = 43x is y = (-1/43)x + (90/43).

What is the equation of a line that passes through the point ( 4 , 2 ) that is perpendicular to the line y = 43x?

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given that the line has a slope of 43.

To find the slope of the line perpendicular to it, we use the fact that the product of the slopes of two perpendicular lines is -1.

So, the slope of the perpendicular line is -1/43.

Using the point-slope form of a line, we can write the equation of the line as:

y - y1 = m(x - x1),

where (x1, y1) = (4, 2) and m = -1/43

Plugging in the values, we get:

y - 2 = (-1/43)(x - 4)

y - 2 = (-1/43)x + (4/43)

y = (-1/43)x + (4/43) + 2

y = (-1/43)x + (90/43)

Therefore, the equation of the line is y = (-1/43)x + (90/43).

Learn more about equation of line here: brainly.com/question/2564656

#SPJ1

Use the trapezoid shown to new each statement below as true or false, if false rewrite the statement correctly in the space below the statement.

Answers

Note that the perimeter of the trapezoid shown is 23 units. Thus, the statement is false.

How so you arrive at that?

To derive the perimeter we  must know the following:


a = base = 5

b = base = 8

d = side = 4
c is the hypotenuse" = (h x base of the right triangle) = (4x3)/2 = 6

Thus, Perimeter of the trapezoid = a + b + c + d =

5 + 8 + 4 + 6

= 23 units.

Thus, the statement that the perimeter of the trapezoid shown is 22 units is false.

Learn more about trapezoid:
https://brainly.com/question/8643562
#SPJ1

Full Question>

Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!

Q: The perimeter of the trapezoid shown is 22 units.

True false?

Other Questions
You randomly select 500 students and observe that 85 of them smoke. Estimate the probability that a randomly selected student smokes.a.) .27b.) .50, since there are two possible outcomes for every student surveyed (smoke, don't smoke)c.) 0.17d.) 1.2 what is the most common solid tumor diagnosed in males aged 15-40 years old if there are 20 centromeres in a cell at anaphase, how many chromosomes are there in each daughter cell following cytokinesis?a. 20b. 10c. 30d. 40 An inspector finds that a work aspect deviates outside acceptable limits and that the resulting product will be unacceptable. When will the team adjust this work aspect to minimise the deviation? Voltage in a circuit can be calculated using the equation:VOLTAGE = CURRENT X RESISTANCEVOLTAGE, CURRENT AND RESISTANCE CALCULATIONSThe unit of measurement for Voltage is the Volt (V), for Current, it is Amperes(Amp) and for Resistance it is Ohms (2).Complete the triangle to the right using V, I and R.(The first line for each answer is for the correct EQUATION).1a. Calculate the voltage in a circuit where the current is 2A and the resistance is 10 Ohms.Voltage =11 11Amps xVX Businesses have responded to the increase in single-parent households by: Graded Discussion #3- Problem Scenario (INDIVIDUAL) This assignment is centred on the topics "C-V-P Analysis". This is an individual assessment, and you are required to apply the concepts learnt is solving the problem given. The assessment seeks to examine the following selected course objectives: Course Objectives: 1) Apply the concepts of cost classification to determine whether a cost is fixed, variable or mixed. 2) Explain the differences between the high-low method and scattergram method used in separating mixed costs into their fixed and variable components. 3) Compute variable production cost per unit, total production cost per unit, total fixed production cost and total fixed costs. 4) Determine the normal capacity of an entity, given unit selling price, the components of total variable cost per unit, total fixed costs and operating income. 5) Use selling price per unit, total fixed cost, and total variable cost per unit to compute the breakeven point and margin of safety ratio. 6) Prepare a contribution margin income statement, clearly showing contribution 7) Calculate the sales quantity necessary to achieve a specific target operating income 8) With the aid of supporting computations, analyze and explain the impact which changes in sales volume, variable costs per unit and total fixed costs will have on the break-even point and the contribution margin ratio. This submission will account for 10% of your overall mark. You are required show ALL supporting workings where necessary and state any assumption(s) made. Graded Discussion #3 _C-V-P Analysis Greek Manufacturing Company produces and sells a line of product that are sold usually all year round. The company has a maximum production capacity of 100,000 units per year. Operating at normal capacity, the business earned Operating Income of $600,000 in 2020. The following cost data has been prepared for the year ended December 31, 2020. Selling price per unit $50.00 Production Costs: Direct Materials . $10.00 Direct Labour . $8.00 Variable Manufacturing Overhead . $7.00 Fixed Manufacturing Overhead....................... $450,000 Fixed Selling & Administrative Expenses $300,000 Variable selling expense per unit . $10.00 Required: a) Using the equation method, calculate the normal capacity of the business. (2 marks) b) Calculate: i) the variable production cost per unit ii) the total production cost per unit iii) The total variable cost per unit iv) Total Fixed Costs (2 marks) c) Calculate Greeks break-even point in units and in sales dollars. (2 marks) d) Assuming sales equal to the normal capacity calculated in a) above, prepare a contribution margin income statement for the year ended December 31, 2020, detailing the components of total variable costs and total fixed costs, and clearly showing contribution and net income. (4 marks) e) The recession in the economy in 2021 is expected to result in a reduction of the number of units sold. Assuming that Greek is operating at normal capacity, by how much can sales decline in units and sales dollars in 2021 without the company making a loss? (1 marks) f) The President of Greek Manufacturing is under pressure from shareholders to increase operating income by 30% in 2021. Management expects per unit data and total fixed costs to remain the same in 2021. Using the equation method, compute the number of units that would have to be sold in 2021 to reach the shareholders desired profit level. Is this a realistic goal? (3 marks) g) Greeks management team is concerned about the selling expenses associated with the product and wants to reduce the variable selling expense per unit by 30%, which will see a simultaneous reduction in the total fixed selling expenses by $30,000. If they are able to accomplish this feat, it is expected that sales volume for the year will fall by 16% below normal capacity. What must the new selling price per unit be if the company wishes to meet the shareholders profit objective for 2021? How will these changes impact the percentage margin of safety? (7 marks) h) What are the advantages and disadvantages of the scattergram method as compared to the high-low method? a. A train is traveling in a circular track of 53 km radius at 44 km per hour. Find in degrees the angle through which it turns in 1 minute. My Response Based on the data in the figure, a student claimed that since 2007, the carrying capacity of wolves in Yellowstone National Park has been 100 wolves, and the maximum annual per capita growth rate of gray wolves is 0.6 wolves per wolf per year. Which of the following is closest to the calculated wolf population size in 2017 based on the student's claim? A 100 B 103 C 113 D 173 An individual is hosting a cookout for the kick ball team. The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends. Solve for the dependent variable (y)if the independent variable is 10 1. = 302. = 263. y = 20 What determines whether followers view managers as ethical leaders?A. Rating high on the ethical leadership scaleB. Being a moral personC. Being a competent leaderD. Being a moral managerE. Being principled and caring What does tube head seal keep in the tube tube head? Chandra runs the 100 meter sprint for the school track team. This season each of her finish times were under 18 seconds. Which inequality represents, x, Chandras finish times,in seconds, for any 100 meter sprint? 27. One problem with learning is that:A. it cannot be observed.B. its results cannot be measured.C. it tends to make training less permanent.D. it cannot take place in a formal training situation.E. it cannot be encouraged. Many countries have large quantities of one or more factors of production, but have not been successful in accumulating wealth because: Alan is going to eat a round lollipop that has a radius of 2 inches. What is the lollipop's circumference? find the measure of arc when a strong acid is titrated with a weak base, the ph of the solution at the equivalence point is _____ than 7 When removing a can from dry storage, you notice the canna swollen. You discard the can immediately due to the risk of:A. Salmonella B. Hepatits AC. Listeria D. Clostridium Botulinum 21 yo F presents with acute onset of severe RLQ pain , nausea and vomiting. She has no fever, urinary symptoms or vaginal bleeding and has never taken OCPs. Her last menstrual period was regular, and she has no history of STDs What is the most likely diagnosis?