The break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is: A. $1,724,138.
Break-even pointFirst step is to calculate the Variable costs
Variable costs = $500,000 + $250,000 + $275,000 + $750,000
Variable costs = $1,775,000
Second step is to calculate the Contribution margin ratio
Contribution margin ratio = (Sales - Variable costs) / Sales
Contribution margin ratio= ($3,500,000 - $1,775,000) / $3,500,000
Contribution margin ratio= 0.493×100
Contribution margin ratio =49.3%
Now let calculate the Break-even point
Break-even point = Fixed costs / Contribution margin ratio
Break-even point= ($600,000 + $250,000) / 0.493
Break-even point= $1,724,137.9
Break-even point =$1,724,138 (Approximately)
Therefore the break-even point (rounded to the nearest dollar) for Evergreen Corporation for the current year is:$1,724,138.
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Evaluate the expressions.
(-7)⁰ = 0
0
2²( ³ ) = 0
5
010
X
Ś
Answer:
[tex]format \: examples \: )[/tex]
(30-30) = 40 RIGHT THE SIMILAR FROM 60 -40 AND CALCULATE ALL OF IT +4
ANSWER: 405
Translate "the sum of 6 and the product of 8 and x" into a mathmatical expression
Answer:
6 + 8x
Step-by-step explanation:
Every year in Delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. The equation y = 15 + 110x – 16x2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. What is the maximum height that the pumpkin reaches? How many seconds have passed when the pumpkin hits the ground? (Hint: If the pumpkin hits the ground, its height is 0 feet.)
Answer:
See below
Step-by-step explanation:
y = - 16x^2 + 110x + 15 is a dome shaped parabola
max will occur at x = -b/2a = - 110/(2*-16) = 3 7/16 seconds
using this value in the equation results in y = 204 units (feet?)
Height = 0 = -16x^2 +110x + 15 use quadratic formula
with a = -16 b = 110 c = 15 to find 7 seconds
Confirmed as of 12.14.22
Here you go! Please mark Brainliest! Tysm if you do and have a great holiday!
__________
1. $11.50
2. Distributive Property
3. x ->-4 and x -< 3
4. x = 0 or x = -3/2
5. D = all real numbers
R = {y | y -> 0}
6. y = 12/13x - 10/13
slope: 12/13; y-intercept: -10/13
7. y - 3 = 4/9 (x - 9)
8. (1/4, -7); x = 1/4; translated to the right 1/4 unit and down 7 units.
9. Graph C (representing the inequality y -< x/2 - 3)
10. Graph C (representing the system {x -> 0, y -< -1/8x + 5, y -> 5/8x - 1)
11. [ -12 -13 13 | -15]
[ 7 -10 -3 | 11]
[ 7 14 5 | -5]
12. Graph C (representing y = 3(x - 3)^2 + 3)
13. The pumpkin's maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
14. 4x^2 + 3x - 6
15. 7/2 -+ sqrt17/2
16. -15
17. (0,3), (3,0)
18. -3. -2. 2
19. Graph C (Goes vertically down, up, then down again.)
20. -6, -2
21. 2, -2, 4i, -4i
22. s^4 + 15s^4 v + 90s^3 v^2 + 270s^2 b^3 + 405sv^4 + 243v^5
23. y = x - 2
24. f(x) = 295(1.07)^x; 338
25. y = 497(1/2)^38x; 462.029 kg
26. 4
27. 1.03
28. 4.55
29. r = Q/8s^2
30. x = 2
31. Constant of variation: -1/3
x = -63
32. (-1, 7, 5)
33. (x + 4)(6x + 7
______________________________________________
If the volume of a cube is 64 cubic inches, find the length of one edge
A skydiver is falling at a rate of 1.1 × 10 2 miles per hour. About how long will it take him to fall 5 miles?
Answer:
See below
Step-by-step explanation:
distance / rate = time
5 miles / 110 m/hr = .04545 hr = 2.727 min = 2 min 44 sec = 1/22 hr
-6x +3>-39
sombody pls do this problem
Answer:
x>-7
Step-by-step explanation:
Answer:
x>-7
It wont always be easy, but always try to do what ' s right!
In a world of worriers, be the warrior!
When nothing goes right, go left.
PLS HELPPPPPPPPPPPP WILL GIB BRAINLIEST Jimmy Needs to buy 1'000 boxs of Mac n' cheese for a confrecne meeting.
Each box costs 50.Cent how much money will he have to buy.
After u figure out The answer divide that by the by 56.
A 84712 = FIRST.... 84712 ÷ = 393893.329432112
B 50000 = FIRST.... 50000 ÷ = 892.857142857
C 43792 = FIRST.... 9382784 ÷ = 94923.2232
D 37263 = FIRST.... 8438493 ÷ = 4095923.31
PART B
The answer you just figured out find out how much cents that equals in dollars
A 5000
B 2123
C 3282
D 3921
Answer:
its 500$ to buy 1000 mac and cheese at 50 cent a piece so im asuming the answer is A
Step-by-step explanation:
Solve: x = 27
A) X= 3
B) X = 3 and x = -3
C) X = 9
D) X = 9 and x = -9
Answer:
A) x=3
Step-by-step explanation:
I guess it's : [tex]x^{3} =27[/tex]
[tex]x^{3} =27[/tex]
[tex]x=\sqrt[3]{27}[/tex]
[tex]x = 3[/tex]
what is the answer to thiss
Hi Student!
This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression. So let's plug in the values and solve.
Plug in the values
[tex]m^2 + 5[/tex][tex](9)^2 + 5[/tex]Factor out the exponent
[tex](9*9) + 5[/tex][tex]81 + 5[/tex]Combine
[tex]86[/tex]Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.
What is (f−g)(x) ?
f(x)=x3−3x2+2x−3
g(x)=4x2−5x+7
Enter your answer in the box.
(f−g)(x)=
Answer:
Step-by-step explanation:
(F-G)(X)=x^4-x^3+2x-6
Which table represents a linear function?
(i’m trying to help my friend pass)
Answer:
if I remember I did this two days ago its was c
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+64x+89
Step-by-step explanation:
I assume that "ground" is at 0 ft height. which is in an actual scenario not airways the case.
y = -16x² + 64x + 89
shows us that the tower is 89 ft tall (the result for x = 0, at the start).
anyway, if the original assumption is correct, then we need to solve
0 = -16x² + 64x + 89
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/)2a)
in our case
a = -16
b = 64
c = 89
x = (-64 ± sqrt(64² - 4×-16×89))/(2×-16) =
= (-64 ± sqrt(4096 + 5696))/-32 =
= (-64 ± sqrt(9792))/-32
x1 = (-64 + 98.95453501...)/-32 = -1.092329219... s
x2 = (-64 - 98.95453501...)/-32 = 5.092329219... s
the negative solution for time is but useful here (it would be the time calculated back to ground at the start).
so, x2 is our solution.
the rocket hits the ground after about 5.09 seconds.
The rectangle shown is rotated about line k.
Rectangle A B C D is shown. A line of rotation goes through the midpoint of sides A B and D C to cut the side into two equal lengths of 5 inches. Side A D has a length of 4 inches.
What is the approximate base area of the resulting figure?
Area of a circle: A = πr2
31 sq. in.
50 sq. in.
79 sq. in.
314 sq. in.
The approximate base area of the resulting figure is 79 in²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The resulting figure formed from the rotation is a cylinder with a radius of 5 inches and height of 4 inches
Area of base = π * radius² = π * 5² = 79 in²
The approximate base area of the resulting figure is 79 in²
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I need help. This is an ixl
Answer: 2
Step-by-step explanation:
We will first pull the data values.
0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3
Now, we will find the middle data value. This is the median.
0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3
/, /, /, /, /, 2, /, /, /, /, /
Our median is 2.
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Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
OA About 60% of the books have fewer than 150 pages.
O B.
About 16% of the books have fewer than 150 pages.
OC.
About 95% of the books have more than 150 pages.
OD. About 16% of the books have more than 150 pages.
Answer:
B
About 16% of the books have fewer than 150 pages.
Step-by-step explanation:
Quizlet also said so
NO LINKS!!! Please help me with this problem
Answer:
1. 0.75
2. 0.15
3. 1
Step-by-step explanation:
1. P(student is female) = 1 - 0.25 = 0.75
2. P(student is male and does not walk to school) = 0.25 × 0.6 = 0.15
3. P(student walks to school or does not walk to school) = 0.4 + 0.6 = 1
Answer:
The sum of the probabilities of all possible outcomes is 1.
Given:
Male students = 25% = 0.25Students who walk to school = 40% = 0.4Therefore:
Female students = 1 - 0.25 = 0.75Part (a)
[tex]\begin{aligned}\sf P(\textsf{female}) & = 1 - 0.25\\ & = 0.75\\ & = 75\%\end{aligned}[/tex]
Part (b)
[tex]\begin{aligned}\sf P(\textsf{does not walk to school}) & = 1 - 0.4\\ & = 0.6\\ & = 60\%\end{aligned}[/tex]
[tex]\begin{aligned}\implies\sf P(\textsf{student is male and does not walk to school}) & = 0.25 \times 0.6\\ & = 0.15\\ & = 15\%\end{aligned}[/tex]
Part (c)
[tex]\begin{aligned}\implies\sf P(\textsf{student walks to school or does not walk to school}) & = 0.4+0.6\\ & = 1\\ & = 100\%\end{aligned}[/tex]
CA is parallel to DE. The measure of BA is 120. The measure of BC is 180. The measure of BD is 80. What is the measure of BE?
A) 60
B) 80
C) 100
D) 120
The measure of BE is 100
Sure hope this helps you
I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm
Answer:
1.9 m
Step-by-step explanation:
1 ft = 30 cm (approximately)
12 in. = 1 ft
100 cm = 1 m
Find the height in ft:
4 in. / 12 in/ft = 1/3 ft
6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft
Convert ft to cm:
6 1/3 ft × 30 cm/ft = 190 cm
Convert cm to m:
190 cm × 1 m / 100 cm = 1.9 m
Directions: In this last section, you will answer one problem. Be sure to read the
problem carefully and to answer the question completely. Show your work and circle
your answer. Use any method to solve this problem.
74. A restaurant has a total of 60 tables. Some of the tables can seat 4 people and some
seat 2 people. All of the seats are occupied when there are 160 people seated. How man
tables for 4 are there?
Answer:
40 tables
Step-by-step explanation:
I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.
A rectangle has a width of 46 centimeters and a perimeter of 210 centimeters. What is the rectangles length?
Answer:
59 cm
Step-by-step explanation:
First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.
If a city with a population of 283,900 doubles in size every 66 years, what will the population be 198 years from now
PLEASE HELP
The population after 198 years from now will be 2,270,200.
What is an exponent?Let a be the initial value and x be the power of the exponent function. Then the exponent is given as,
[tex]\rm y = 283,900\times (2)^{x/198}[/tex]
The population after 198 years from now will be calculated as,
[tex]\rm y = 283,900 \times (2)^{198/66}[/tex]
Simplify the equation, then we have
y = 283,900 x 8
y = 2,270,200
The population after 198 years will be 2,270,200.
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What are the values of x and y?
Figure and answers shown below.
Answer:
C) x = 8√3 ; y = 4√3
Step-by-step explanation:
In this figure, the triangle is 30°-60° right triangle.
So x/12= 2/√3, y/12 = 1/√3
Answer:
C
Step-by-step explanation:
An auto weighing 2,000 pounds is on a street inclined at 10° with the horizontal. Find the force necessary to prevent the car from rolling down the hill. (Round your answer to the nearest whole number.)
347 pounds
14,397 pounds
2,462 pounds
Force (F) = WSin(angle)
F = 2000×Sin(10)
Therefore, F = 347lb.
XO
0
1
2
3
4
5
6
f(x)
15
20
25
30
35
чо
45
Answer:
56
Step-by-step explanation:
Question 6 of 10
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
6.833
3.594
+1.369
————
Answer here
Step-by-step explanation:
7
4
1
----
12
reality
6.833
3.594
1.369
----------
11.796
Determine whether or not the situation describes a function. Give a reason for your answer. The letter grade in this course is a function of your numerical grade. a. No, it is not a function. Each letter grade corresponds to one numerical grade. b. No, it is not a function. Each numerical grade corresponds to one letter grade. c. Yes, it is a function. Each numerical grade corresponds to one letter grade. d. Yes, it is a function. Each letter grade corresponds to one numerical grade. Please select the best answer from the choices provided A B C D
Yes, it is a function. Each numerical grade corresponds to one letter grade. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Determine whether or not the situation describes a function.
The letter grade in this course is a function of your numerical grade.
Yes, it is a function. Each numerical grade corresponds to one letter grade.
Then the correct option is C.
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Write the next whole number after 111 in the base-two system.
Answer:
111 (base 8) = 64 +8+1 =73(base10)
111 (base 2) = 4+2+1 =7(base 10)
Sum =73+7=80 (base 10)
8| 80|
8 | 10 | 0
8 | 1 | 2
8| 0 | 1
= 120 (base8)
80 (base10) = 120 (base 8)
Step-by-step explanation:
mark as brilliant
The next whole number after 111 in the base-two system is 1000.
What is the next whole number after 111 in the base-two system.In the base-two system (binary), the numbers are represented using only 0 and 1. After 111 in the base-two system, the next whole number is 1000.
To convert 1000 from base-two to base-ten (decimal), we can calculate as follows:
1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 0 * 2^0 = 8 + 0 + 0 + 0 = 8
So, the next whole number after 111 in the base-two system is 1000.
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Which of the following is an identity?
sin²x sec²x +1 = tan²x cosec²x is an Identity and therefore Option C is an Identity.
What is a Trigonometric Identity ?Trigonometric Identities are based on Trigonometric ratios , these are useful in conversion of the ratios into each other and to solve the problems of Trigonometry.
There are four Identities Given
Among them Option C is an Identity because on solving it
sin²x sec²x +1 = tan²x cosec²x
(sin²x/cos²x) +1 = sin²x / (sin²x cos²x)
sin²x +cos²x = 1
Which is an Identity and
therefore Option C is an Identity.
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In the cycle-plane, what is the y-intercept of the graph of the equation y=6 (x-0.5) (x+3)
The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The parabolic equation of the function is given below.
y = 6 (x - 0.5) (x + 3)
Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be
We know that for the y-intercept, the value of x is zero. Then we have
y = 6 (x - 0.5) (x + 3)
y = 6 (0 - 0.5)(0 + 3)
y = 6 (-0.5)(3)
y = -9
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suppose y varies inversely as x and y=12 when x=6 find y if x=8
Answer:
y = 9
Step-by-step explanation:
given that y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
to find k use the condition y = 12 when x = 6
12 = [tex]\frac{k}{6}[/tex] ← multiply both sides by 6 to clear the fraction
72 = k
y = [tex]\frac{72}{x}[/tex] ← equation of variation
when x = 8 , then
y = [tex]\frac{72}{8}[/tex] = 9