Answer:
If the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
Step-by-step explanation:
Note: The data needed to estimate costs using the high-low method is merged together. It is therefore sorted before answering the question as follows:
Month Machine Hours Electricity Costs
January 2,000 $18,950
February 2,400 $22,100
March 1,400 $14,050
April 2,600 $24,100
May 3,300 $28,800
June 2,800 $23,100
July 3,600 $25,300
August 3,000 $23,300
September 1,500 $16,600
October 3,200 $27,100
November 4,200 $32,100
December 3,700 $28,300
The explanation of the answer is now provided as follows:
Step 1: Calculation of variable cost per hour
From the data above, the highest Machine Hours and Electricity Costs occur in November, while the lowest occur in March. Therefore, we have:
Variable cost per hour = (Highest Electricity Costs - Lowest Electricity Costs) / (Highest Machine Hours - Lowest Machine Hours = ($32,100 - $14,050) / (4,200 – 1,400) = $18,050 / $2,800 = 6.44642857142857
Rounding to 2 decimal places as required, we have:
Variable cost per hour = $6.45
Therefore, the variable-cost components using the high-low method is $6.45.
Step 2: Calculation of total fixed cost
The formula for calculating the total cost is given as follows:
Total cost = Total Fixed Cost + Total Variable Cost ................. (1)
Where;
Total Variable Cost = Variable cost per hour * Machine hours at a particular Electricity Costs
Using highest levels of activity and substitute into equation (1), we have:
$32,100 = Total Fixed Cost + ($6.45 * 4,200)
Total Fixed Cost = $32,100 - ($6.45 * 4,200) = $32,100 - $27,090 = $5,010
Therefore, the fixed-cost components using the high-low method is $5,010.
Step 3: Derivation of the cost equation for electricity costs
The cost equation for electricity costs can be obtained based on the total cost function given in equation (1) above, where:
Total Fixed Cost = $5,010
Total Variable Cost = Variable cost per hour * Machine hours = $6.45 * Machine hours
Substituting the values into equation (1), we have:
Total cost = $5,010 + ($6.45 * Machine hours)
Therefore, if the controller uses the high-low method to estimate costs, the cost equation for electricity costs is "Total cost = $5,010 + ($6.45 * Machine hours)".
evaluate (4x-5)² pls send answers
Answer =
= (4x - 5)²
= 16x² - 40x + 25
HELPPPPP ME PLEASEEEE
Answer:
4x-8 = 4x+12
Step-by-step explanation:
you multiply everything in the parentheses by what is outside of it
4(x-2) = 2(2x+6)
4(x)=4x & 4(-2)=-8 2(2x)=4x & 2(6)=12 then write the numbers as an equation:
4x-8 = 4x+12
Out of some students appeared in an examination,
80% passed in English, 75% passed in Science and
5% failed in both subjects. If 300 of them were
passed in both subjects, how many students were
appeared in the examination? Find it by using a
Venn-diagram
(Ans: 500
Answer:
500 students appeared in the examination.
Step-by-step explanation:
Each event represents a set in the Venn diagram, and we use it to find the desired values.
I am going to say that:
Event A: Passed in English.
Event B: Passed in Science.
80% passed in English
This means that [tex]P(A) = 0.8[/tex].
75% passed in Science
This means that [tex]P(B) = 0.75[/tex]
5% failed in both subjects.
This means that 100% - 5% = 95% passed at least one of these subjects, so [tex]P(A \cup B) = 0.95[/tex].
Proportion that passed both subjects:
This is [tex]P(A \cap B)[/tex]
These percentages are related by the following equation:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
So
[tex]P(A \cap B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
Number of students in class:
60% of the total number t passed both subjects. This is equals to 300. So
[tex]0.6t = 300[/tex]
[tex]t = \frac{300}{0.6}[/tex]
[tex]t = 500[/tex]
500 students appeared in the examination.
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answer:
follow me please and give thanks
2. You have a bag containing 5 red markers, 6 green markers, and 4 blue markers. You reach Into the bag, select 1 marker, replace it, and then select another marker. What is the probability
that you selected a blue marker and then a green marker?
14.3%
10.7%
73.3%
83.3%
Answer:
10.7%
Step-by-step explanation:
possibility to get a blue marker : 4/15
possibility to get a green marker: 6/15
possibility to get a blue then a green: 24/225
= 10.666666%
= 10.7%
please help me with this question
Answer:
18
Step-by-step explanation:
does anyone know how to do this?
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
In the image shown line n is a transversal cutting parallel lines l and m
A- 79
B- 81
C- 83
D- 86
the answer to your question is C
GIVING BRAINLIEST AND EXTRA POINTS TO BEST EXPLAINED ANSWER EVER!
Answer:
3/16 of her garden are red roses
she was not correct, 2/4 is not equal to 3/16
Step-by-step explanation:
3/4 garden are roses
1/4 of those are red (1/4 of 3/4)
3/4 (1/4) = 3/16 of her garden are red roses
Answer:
Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.
Step-by-step explanation:
hope this helps
Which graph represents the function?
f(x)=x+2‾‾‾‾‾√3
Answer:
the correct answer is the last one to the right side
Answer:
Equation :
f(x) = ³√x+2
The fourth option.See image.
I hope the image helps.
Graphing plobem 8th grade. First anserw gets brainest
Answer: -5 is equal to x
Step-by-step explanation:
This is since you just make y = 0 to solve, so
0=x+5
= -5=x
Answer:
x=-8 and y=2 / x=-5 and x=5
Step-by-step explanation:
put x as 0 to find y
y=1÷4x+2
y=1÷4×0+2
y=0+2
y=2
put y as 0 to find x
y=1÷4x+2
0=1÷4x+2
-2+0=1÷4x
-2=1÷4x
1÷4x=-2
1x=-2×4
x=-8
y=x+5
0=x+5
x=-5
y=0+5
y=5
Which image below shows the result of an image that has been rotated 180 by the origin O?
x multiplied by 7 then 18
subtronted form the product
Answer:
7x - 18
Step-by-step explanation:
x multiplied by seven = 7x
eighteen subtracted from product (7x) = -18
7x - 18
Answer:
7x-18
Step-by-step explanation:
the ans is 7x-18 because x is multiplied to 7 so its 7x
8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).
Answer:
Good luck Dude
Step-by-step explanation:
A toy train has 8 compartments and an engine that is 8 inches long. Each compartment is 4 inches long. Each compartment is joined by links that are 3 inches long. How long is that train.
Answer:
64in
Step-by-step explanation:
links=8*3=24
compartments + engine=4*8+8=40
40+24=64
Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18
Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)
Answer:
[tex]Total = \$7800[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$32.50[/tex] per square yard
[tex]Length = 432.0ft[/tex]
[tex]Width = 5.0ft[/tex]
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
[tex]Area = Length * Width[/tex]
[tex]Area = 432.0ft * 5.0ft[/tex]
[tex]Area = 2160ft^2[/tex]
Convert to square yard
[tex]Area = \frac{2160yd^2}{9}[/tex]
[tex]Area = 240yd^2[/tex]
The cost is then calculated as:
[tex]Total= Area * Unit\ Cost[/tex]
[tex]Total = 240 * \$32.50[/tex]
[tex]Total = \$7800[/tex]
Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?
Answer:
the answer would be A
Step-by-step explanation:
The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20
Name 6 elements of PQR.
Answer:
josh
rabeesh
ronger
roger
roge
robert
Step-by-step explanation:
6xy^3 * 4x^2y^2 answer
A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41
Answer: 360>5.5+36.41d
Step-by-step explanation:
Macy has completed 78% of the 50 questions on the test. How
many questions has Macy completed?
Answer:
39
Step-by-step explanation:
Answer:
78% = 78/100
= 0.78
78% of the 50 i equal 0.78 x 50 = 39
Macy has completed 39 questions
The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).
Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5
Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?
Based on the circumstances of the 100 workers and their union membership, the probabilities are:
Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.What is the probability of the a new job with a union member?Number of people with jobs in new companies:
= 14 + 10
= 24
There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24
= 0.583
What is the probability that a union worker has been unemployed?The number of people in a Union is:
= 39 + 14 + 6 + 2
= 61 people
Number of union people that have been unemployed is 2.
The probability here is therefore:
= 2 / 61
= 0.033.
Find out more on probabilities at https://brainly.com/question/25870256.
breh so listen up
Why do girls, when starting a convo start with- "hey" usually
I mean I don't mind, but then when you try to bring spark they seem hella dry.
Example:
Girl - "Hey"
Boy - "Hey what's good?"
Girl - "Nm you?"
Boy - Pretty lit, when out with my boys recently. You go out places"
Girl - "eh id.k"
Boy *t.f? What she mean id.k....
Boy - "That's cool Quarentine sh.it anyway, you do anything to kill the time doe?"
Girl - "id.k"
Girls Message left on Read
No cap, I end it right there. If you dry, don't waste time. Lol who goes through this?
Stop starting them convos if you aint bout that game bro.
Answer:
either she's nervous and doesn't know how to talk or she's mad at you. i would say she doesn't like u but she started the convo
help me out please :(?
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3
Write the equation 3x+2y- 5 = 0 in normal form. Then, find the length of the normal and the angle it makes with the
positive x axis.
Answer: x= -2/3y+5/3
Step-by-step explanation:
Let's solve for x.
3x+2y−5=0
Step 1: Add -2y to both sides.
3x+2y−5+−2y=0+−2y
3x−5=−2y
Step 2: Add 5 to both sides.
3x−5+5=−2y+5
3x=−2y+5
Step 3: Divide both sides by 3.
3x/3=-2y+5/3
x= -2/3y+5/3
if the cube was Rolled 78 x and the nine appears 26 times what was the experimental probability of rolling a 9
Answer:
1/3 = 0.3333 = 33.33% experimental probability of rolling a 9.
Step-by-step explanation:
The experimental probability is given by the number of desired outcomes divided by the number of total outcomes, after a number of experiments is made.
In this question:
Cube rolled 78 times.
9 appeared 26 times
26/78 = 1/3 = 0.3333 = 33.33% experimental probability of rolling a 9.
BRAINLIEST WILL GIVE
PLEASE HELP I NEED A GOOD MATH GRADE
Answer:
1.2 to 10 o->
2.8 to -10 <- with fully bubbled o
Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.
Answer:
The estimated size of the population in 10 days is of 1372 mosquitos.
Step-by-step explanation:
Population after t days:
The population after t days is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
P(0)=574.
So
[tex]P(t) = 574e^{rt}[/tex]
P'(0)=50
[tex]P^{\prime}(t) = 574re^{rt}[/tex]
Since P'(0)=50
[tex]574r = 50[/tex]
[tex]r = \frac{50}{574}[/tex]
[tex]r = 0.0871[/tex]
So
[tex]P(t) = 574e^{0.0871t}[/tex]
Estimate the size of the population in 10 days
This is P(10).
[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]
The estimated size of the population in 10 days is of 1372 mosquitos.
The size of the population of mosquito follows an exponential model.
The size of the population in 10 days is 1370
The given parameters are:
[tex]\mathbf{P(0) = 574}[/tex]
[tex]\mathbf{P'(0) = 50}[/tex]
An exponential function is represented as:
[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]
So, we have:
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
Differentiate
[tex]\mathbf{P'(t) = 574r}[/tex]
Substitute 0 for t
[tex]\mathbf{P'(0) = 574r}[/tex]
Substitute [tex]\mathbf{P'(0) = 50}[/tex]
[tex]\mathbf{50 = 574r}[/tex]
Divide both sides by 574
[tex]\mathbf{0.087 = r}[/tex]
So, we have:
[tex]\mathbf{r = 0.087 }[/tex]
The function becomes
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]
In 10 days, t = 10.
So, we have:
[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]
[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]
Solve
[tex]\mathbf{P(10) = 1370}[/tex]
Hence, the size of the population in 10 days is 1370
Read more about exponential functions at:
https://brainly.com/question/11487261