Answer:
13
Step-by-step explanation:
→ Substitute 3 into 2x
2 × 3
→ Evaluate
f ( x ) = 6
→ Substitute x = 3 into 3x - 2
3 × 3 - 2
→ Evaluate
7
→ Find the sum of the 2 results
13
When x = 3, the value of (f + g)(x) is 13.
To evaluate (f + g)(x) when f(x) = 2x and g(x) = 3x - 2, we substitute the given functions into the expression (f + g)(x).
(f + g)(x) = f(x) + g(x)
Substituting the given functions:
(f + g)(x) = 2x + (3x - 2)
Simplifying the expression:
(f + g)(x) = 2x + 3x - 2
Combining like terms:
(f + g)(x) = 5x - 2
Now, to find the value of (f + g)(x) when x = 3, we substitute x = 3 into the expression:
(f + g)(3) = 5(3) - 2
Simplifying further:
(f + g)(3) = 15 - 2
(f + g)(3) = 13
Therefore, when x = 3, the value of (f + g)(x) is 13.
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(05.03 LC)
The equation shows the relationship between x and y:
y = −4x + 9
What is the slope of the equation? (5 points)
Group of answer choices
−9
−4
4
9
30 points!
based off of the chart,
- what is the probability of mint chocolate chip or female
- what is the probability of cookie and cream and vanilla
Using the probability concept, we have that:
There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 35 people, out of which 17 are female and 5 are male that prefer mint chocolate chip, hence:
p = (17 + 5)/35 = 22/35 = 0.6286.
There is a 0.6286 = 62.86% probability that a randomly selected person is female or prefers mint chocolate chip.
Out of the same 35 people, 11 people prefer cookie and cream and 2 people prefer vanilla, hence:
p = (11 + 2)/35 = 13/35 = 0.3714
There is a 0.3714 = 37.14% probability that a randomly selected person prefers cookie and cream or vanilla.
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61% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 46 owned dogs are randomly selected, find the probability that
a. Exactly 29 of them are spayed or neutered.
b. At most 29 of them are spayed or neutered.
c. At least 28 of them are spayed or neutered.
d. Between 28 and 32 (including 28 and 32) of them are spayed or neutered.
A good calculator is found at: Stattrek Binomial Calculator Round answers to at least 4 decimal places.
Using the binomial distribution, the probability that:
(a) Exactly 29 of them are spayed or neutered, that is, P(X = 29) = 0.1163.
(b) At most 29 of them are spayed or neutered, that is, P(X ≤ 29) = 0.6648.
(c) At least 28 of them are spayed or neutered, that is, P(X ≥ 28) = 0.5714.
(d) Between 28 and 32 (including 28 and 32) of them are spayed or neutered, that is, P(28 ≤ X ≤ 32) = 0.48345.
A binomial distribution, with a success rate of p on each trial, gives us the probability of x number of success in n number of trials, using the formula:
P(X = x) nCx.pˣ.qⁿ⁻ˣ, where q = 1 - p.
In the question, we are informed that 61% of owned dogs in the United States are spayed or neutered, and are given that 46 owned dogs are randomly selected.
This can be seen as a binomial probability distribution, with n = 46, and p = 61% = 0.61, q = 1 - p = 1 - 0.61 = 0.39.
(a) We are asked for the probability of exactly 29 of them being spayed or neutered.
Thus, x = 29, and we need to find P(X = 29).
Using the given calculator, P(X = 29) = 0.1163.
(b) We are asked for the probability of at most 29 of them being spayed or neutered.
Thus, we need to find P(X ≤ 29).
Using the given calculator, P(X ≤ 29) = 0.6648.
(c) We are asked for the probability of at least 28 of them being spayed or neutered.
Thus, we need to find P(X ≥ 28).
Using the given calculator, P(X ≥ 28) = 0.5714.
(d) We are asked for the probability between 28 and 32 of them are spayed or neutered.
Thus, we need to find P(28 ≤ X ≤ 32), which can be shown as;
P(28 ≤ X ≤ 32) = P(X ≤ 32) - P(X < 28).
Using the given calculator, P(X ≤ 32) = 0.91209.
Using the given calculator, P(X < 28) = 0.42864.
Thus, P(28 ≤ X ≤ 32) = P(X ≤ 32) - P(X < 28) = 0.91209 - 0.42864 = 0.48345.
Thus, using the binomial distribution, the probability that:
(a) Exactly 29 of them are spayed or neutered, that is, P(X = 29) = 0.1163.
(b) At most 29 of them are spayed or neutered, that is, P(X ≤ 29) = 0.6648.
(c) At least 28 of them are spayed or neutered, that is, P(X ≥ 28) = 0.5714.
(d) Between 28 and 32 (including 28 and 32) of them are spayed or neutered, that is, P(28 ≤ X ≤ 32) = 0.48345.
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simplify (-243)^-3/5
The expression, [tex](-243)^{-3/5}[/tex] on simplification using the laws of the exponent can be written as - (1/27).
Exponents are of the form aˣ, read as " a to the power x", function as a multiplied by itself x number of times, and are used in a numerical and algebraic expression.
To simplify these expressions, we use the following laws of the exponents:
[tex]1. a^m.a^n = a^{m + n}\\2.\frac{a^m}{a^n} = a^{m-n}\\ 3. (a^m)^n = a^{mn}\\4. a^{-m} = \frac{1}{a^m}\\5. a^0 = 1[/tex]
In the question, we are asked to simplify the expression, [tex](-243)^{-3/5}[/tex].
The expression can be solved using the laws of exponent as follows:
[tex](-243)^{-3/5}\\[/tex]
= [tex]((-3)^5)^{-3/5}[/tex]
= [tex](-3)^{-3}[/tex] {Using the law of exponent: [tex](a^m)^n = a^{mn}[/tex]}
= [tex]\frac{1}{-3^3}[/tex] {Using the law of exponent: [tex]a^{-m} = \frac{1}{a^m}[/tex]}
= 1/(-27)
= - (1/27).
Thus, the expression, [tex](-243)^{-3/5}[/tex] on simplification using the laws of exponent can be written as - (1/27).
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Middler Corporation, a manufacturer of electronics and communications systems, uses a service department charge system to charge profit centers with Computing and Communications Services (CCS) service department costs. The following table identifies an abbreviated list of service categories and activity bases used by the CCS department. The table also includes some assumed cost and activity base quantity information for each service for October.
CCS Service
Category
Activity Base
Budgeted Cost Budgeted Activity
Base Quantity
Help desk Number of calls $160,000 3,200
Network center Number of devices monitored 735,000 9,800
Electronic mail Number of user accounts 100,000 10,000
Smartphone support Number of smartphones issued 124,600 8,900
One of the profit centers for Middler Corporation is the Communication Systems (COMM) sector. Assume the following information for the COMM sector:
• The sector has 5,200 employees, of whom 25% are office employees.
• All the office employees have been issued a smartphone, and 96% of them have a computer on the network.
• One hundred percent of the employees with a computer also have an e-mail account.
• The average number of help desk calls for October was 1.5 calls per individual with a computer.
• There are 600 additional printers, servers, and peripherals on the network beyond the personal computers.
a. Determine the service charge rate for the four CCS service categories for October.
CCS Service Category Service Charge Rate
Help desk $fill in the blank 1
Per call
Network center $fill in the blank 3
Per device monitored
Electronic mail $fill in the blank 5
Per user or e-mail account
Smartphone support $fill in the blank 7
Per smartphone issued
The answers to the service charge rate are:
50751014How to determine the service charge rate for the month of OctoberThis is the number of calls for the help desk
160000/3200 = 50per call
For the network center
735000/9800
= 75 per device that was monitored
For the Electronic mail
100000/10000 =
10 for the mail account
For local voice support
124600/8900
= 14 per phone extension
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a linear equation is an equation whose graph is a straight lina
The statement that a linear equation is an equation whose graph is a straight line is True.
What is a linear equation?A linear equation can be defined as an algebraic equation with each term having an exponent and the graphing of the equation results in a straight line.
From the definition, it can be deduced that the statement is True.
Thus, the statement that a linear equation is an equation whose graph is a straight line is True.
The complete question is:
True or false
A linear equation is an equation whose graph is a straight line.
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There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups of cookies can he choose from 12?
A) 220
B) 320
C) 420
D) 440
I know the correct answer is A) 220, but I am not sure why?
The number of different groups of cookies he can choose from the 12 cookies is 220
How to determine the number of different groups of cookies he can choose from the 12 cookies?The given parameters are:
Number of cookies, n = 12
Selected cookies, r = 3
The number of different groups of cookies he can choose from the 12 cookies is calculated as:
Numbers = 12C3
The combination formula is represented as:
nCr = n!/(n - r)!r!
Substitute the known values in the above equation
Numbers = 12!/(12 - 3)!3!
Evaluate the difference in the above equation
Numbers = 12!/9!3!
Expand the above equation
Numbers = 12*11*10*9!/9!3!
Evaluate the quotient
Numbers = 12*11*10/3!
Expand the above equation
Numbers = 12*11*10/3*2*1
Evaluate the products
Numbers = 1320/6
Evaluate the quotients
Numbers = 220
Hence, the number of different groups of cookies he can choose from the 12 cookies is 220
So, the complete parameters are:
Number of cookies, n = 12
Selected cookies, r = 3
Number of selection = 220
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One hundred dollars less
than twice last year's
income?
Answer:
2y - 100
Step-by-step explanation:
Last year's income = y
2y-100
what is the measure of angle B from the right triangle below ?
Answer:
d
Step-by-step explanation:
using the cosine ratio in the right triangle
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{10}[/tex] , then
B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{10}[/tex] ) ≈ 78.46° ( to 2 dec. places )
(a) Descriptive form: The set of natural numbers greater than or equal to 6.
(b) Roster form: (5, 7, 9, 11)
The set of natural numbers greater than or equal to 6 will be 6, 7, 8, 9, 10, ....
How to illustrate the information?It should be noted that the first information is about the set of natural numbers greater than or equal to 6. Therefore, they will be 6 and above.
It should be noted that the descriptive form simply states in words the elements that are in a set. It is the verbal description of the elements in the set. It is the determination of the elements that belong to a set and those that doesn't.
Also, the way that a set is described is known as the roster form. In this case, the contents of a set can be described by listing the elements that are in the set which are separated by a comma inside the bracket.
Also, the roster form: (5, 7, 9, 11) indicates odd natural numbers. The numbers that are given are odd.
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Complete the equivalent fraction 3/5 = ?/10
Answer:
Step-by-step explanation:
3/5 = x/10
5x = 30
x = 6
6/10
Hey there!
Original equation:
3/5 = ?/10
Convert to:
3/5 = x/10
Cross multiply the numbers:
3 * 10 = 5 * x
Simplify it:
3 * 10 = 5 * x
30 = 5x
5x = 30
Divide 5 to both sides:
5x/5 = 30/5
Simplify it:
x = 30/5
x = 6
Therefore, your mystery number should be: 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the simplified form of i^86?
A. 1
B. i
C. -1
D. -i
A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was 144mph less than 2 times the speed of the private jet, find the speed of each jet.
Solving a system of equations, we can see that:
Speed of the private jet: 168 mi/hSpeed of the commercial jet: 192mi/hHow to find the speeds of each jet?Let's define the variables:
P = speed of the private jet.C = speed of the commercial jet.With the given information, we can write:
P*8h = D
C*7h = D
C = 2*P - 144mi/h
So we have a system of 3 equations, where D is the distance in the problem.
With the first and second equations we can write:
P*8h = D = C*7h
Isolating P, we get:
P = C*(7/8)
Now we can replace that in the last equation:
C = 2*P - 144mi/h
C = 2*C*(7/8) - 144mi/h
And now we can solve that for C.
C - 2*(7/8)*C = - 144mi/h
C*(1 - 14/8) = -144mi/h
C*(8/8 - 14/8) = - 144mi/h
C*(6/8) = 144mi/h
C = (8/6)*144mi/h = 192mi/h
Now that we know the speed of the commercial jet, we can find the speed of the private jet.
P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h
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Match each statement (term) with its value in relation to 0 (definition).
Match Term Definition
A building is 37 feet tall. A) –13.7
The scuba diver was 37 feet below sea level. B) 2.5
The basement is 13.7 feet below ground. C) −37
Oliver owes his sister $25. D) 37
Erica jumped 2.5 feet above the ground. E) –25
The statements with their correct matches in relation to 0 are:
A building is 37 feet tall - 37The scuba diver was 37 feet below sea level = −37The basement is 13.7 feet below ground = –13.7Oliver owes his sister $25 = -25Erica jumped 2.5 feet above the ground = 2.5 What are the values in relation to 0?When a building is 37 feet tall, it means that if 0 feet was the ground level, the building would be 37 higher than 0. This is the same for the basement which will be -13.7 in relation to a ground level of 0.
Erica jumping 2.5 feet above the ground is 2.5 in relation to 0feet and the scuba driver is -37 by the same relation to 0 feet.
Oliver owes his sister $25 which means that in relation to a state of no debt or $0, Oliver is -25 deep in debt.
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Someone please help with this question asap!
Answer:
Side b is the longest because the longer side always lie opposite the bigger angle. Angle B is the biggest angle, and since side b is opposite angle B, side b is the longest.
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
The side opposite to the largest angle is the longest side of a triangle.
[tex] \qquad \large \sf {Conclusion} : [/tex]
hence, we can conclude that the longest side is b
( since it's opposite angle is the largest, i.e 91° )
How many three-digit positive integers have three different digits and at least one prime digit?
The number of three-digit positive integers that have three different digits and at least one prime digit are 7960.
What are prime numbers?The definition of a prime number is a natural number larger than 1 that is not the sum of two lesser natural numbers. A composite number is any natural number that is more than 1 but not a prime.
The only two components in prime numbers are 1 and the number itself.
Any whole number greater than one is a prime number.
It has exactly two factors—1 and the actual number.
There is just one 2-digit even prime number.
Every pair of prime numbers is always a co-prime.
The product of prime numbers can be used to represent any number.
Three-digit positive integers that have three different digits and at least one prime digit = 3!*4!*10*9 = 7960
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Hello guys, can you please help my son!!
Based on the fact that there is no country which had won more than 900 silver medals, set E using the roster method would be E = { }.
How is set E denoted?Set E is meant to include the set of countries who have attained more than 900 silver medals in the Olympic games.
The highest number of silver medals attained is that of the United States which is 860 silver medals.
This means that no single country has attained more than 900 silver medals.
Set E would therefore be null. Using the roster method, the way to show set E would be:
E = { }
In conclusion, set E is E = { }.
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The graph below shows the value of Edna's profits f(t), in dollars, after t months: graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0, vertex at 12, negative 36, and passes through point 21, 41.25 What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
How to determine the average rate of change?From the question, we have the following ordered pairs
x intercepts = (6,0) and (18, 0)
Vertex = (12, -36)
Points (21, 41.25)
The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using
m = [f(21) - f(18)]/[21 - 18]
This becomes
m = [f(21) - f(18)]/3
Substitute the known values in the above equation
m = [41.25 - 0]/3
Evaluate the difference
m = 41.25/3
Evaluate the quotient
m = 13.75
Approximate
m=14
Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14
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Complete question
The graph below shows the value of Edna's profits f(t), in dollars, after t months:
What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?
See attachment for graph
Can you get out of jail within 3 days or 7 days or at least 2 weeks or are they just lying about being in jail to begin with?
Answer:
you better give me brainliest
Step-by-step explanation:
i think they are lying about being in jail
Captain's Autos sells 22 used cars on
Monday, and 18 cars on Tuesday. This was
25% of the number of sales for the week.
How many cars did they sell altogether that
week
Answer:
160
Step-by-step explanation:
22 + 18 = 25 percent
40 = 25 percent
100 / 25 = 4
40 x 4 = 160.
what is the difference between d and 7?
Answer:
d - 7
Step-by-step explanation:
The word "difference" tells us that we will be using subtraction. Also, subtraction is not the same if you reverse the terms like, x - 2 and 2 - x are not the same. In your question it say "d and 7" so that's the order we use in the algebraic expression.
The double number line shows that the distance from the start of a hiking trail to a cave
entrance is 700 m.
Answer:
100, 25, 50
Step-by-step explanation:
[tex]700: \frac{700}{700} \times 100=100 \\ \\ 175: \frac{175}{700} \times 100=25 \\ \\ 350: \frac{350}{700} \times 100=50[/tex]
a train started from Howrah to Allahabad and another train started from Allahabad for Howrah at the same time. The two trains reached their destinations in 9 hours
The speed ratio of the two trains is 4:3, that is, for every 4 hours that one train is delayed, the other is delayed 3.
How to find the speed ratio of the trains?To find the speed ratio of the trains we must do the following operation:
V1 = [tex]\frac{x}{t} = \frac{l - x }{9}[/tex]V1 = [tex]\frac{x}{l - x} = \frac{t}{9}[/tex]T = [tex]\frac{t}{9} = \frac{16}{t}[/tex]V2 = [tex]\frac{x}{t} = \frac{x}{12}[/tex]V1 : V2 = [tex]\frac{x}{12}[/tex]:[tex]\frac{x}{16}[/tex]Note: This question is incomplete because there is some information missing. Here is the complete information in:
A train started from Howrah for Allahabad another train started from Allahabad for Howrah at the same time. The two trains reached their destinations in 9hours and 16 hours respectively after they meet each other. Find the ratio of speed of the two trains.
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4899 x 67 show your work
Answer:
328,233
Step-by-step explanation:
Use the algorithm method.
4 8 9 9
× 6 7
3 6 6 6
3 4 2 9 3
2 5 5 5
2 9 3 9 4 0
1 1 1
3 2 8 2 3 3
⇒ 328,233
Find the area of the trapezoid
Answer:
[tex]52\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}(11+15)(4\sqrt{3})=52\sqrt{3}[/tex]
The question is below
The events E1 and E2 are not independent events.
How to determine if the events are independent?The two events are given as:
E1 and E2 such that
P(E1) = 0.27, P(E2) = 0.40 and P(E1 U E2) = 0.58.
The two events E1 and E2 are independent if the following equation is true
P(E1 and E2) = P(E1) * P(E2)
Where
P(E1 and E2) = P(E1) + P(E2) - P(E1 U E2)
Substitute the known values in the above equation
P(E1 and E2) = 0.27 + 0.40 - 0.58
Evaluate the sum in the above equation
P(E1 and E2) = 0.67 - 0.58
Evaluate the difference in the above equation
P(E1 and E2) = 0.09
Substitute P(E1 and E2) = 0.09 in P(E1 and E2) = P(E1) * P(E2)
P(E1) * P(E2) = 0.09
Substitute P(E1) = 0.27 and P(E2) = 0.40 in the above equation
0.27 * 0.40 = 0.09
Evaluate the product
0.108 = 0.09
The above is false because 0.108 and 0.09 are not equal
Hence, the events E1 and E2 are not independent events.
Independent Events A and BHow to solve for x
We have:
P(A) = x
P(B) = x + 0.2
P(A n B) = 0.15
For independent events, we have:
P(A) * P(B) = P(A n B)
So, we have:
x * (x + 0.2) = 0.15
Expand
x^2 + 0.2x - 0.15 = 0
Using a graphing calculator, we have:
x = 0.3
Hence, the value of x is 0.3
The value of P(A U B)
This is calculated using
P(A U B) = P(A) + P(B) - P(A n B)
Substitute the known values in the above equation
P(A U B) = x + x + 0.2 - 0.15
Evaluate the like terms
P(A U B) = 2x + 0.05
Substitute 0.3 for x
P(A U B) = 2 * 0.3 + 0.05
Evaluate
P(A U B) = 0.65
Hence, the value of P(A U B) is 0.65
The value of P(A' U B')
This is calculated using
P(A' U B') = P(A') + P(B') - P(A' n B')
Where
P(A') = 1 - x
P(B') = 1 - x - 0.2 = 0.8 - x
P(A' n B') = P(A') * P(B')
P(A' n B') = (1 - x) * (0.8 - x)
Substitute the known values in the equation P(A' U B') = P(A') + P(B') - P(A' n B')
P(A' U B') = (1 - x) + (0.8 - x) - (1 - x) * (0.8 - x)
Substitute 0.3 for x
P(A' U B') = (1 - 0.3) + (0.8 - 0.3) - (1 - 0.3) * (0.8 - 0.3)
Evaluate
P(A' U B') = 0.85
Hence, the value of P(A' U B') is 0.85
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A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.5% for the medical students admitted through special programs. Round your answers to 4 decimal places. If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.
The probability that at least 11 of them graduated is 0.7739 if graduation rate is 92.5%.
Given that graduation rate is 95.2%.
We are required to find the probability that out of 12 selected candidates atleast 11 should be graduated.
Probability is basically the chance of happening an event among all the events possible. It cannot be negative. It lies between 0 and 1.
Probability=Number of items/ Total items.
Probability that atleast 11 will be graduated out of 12 selected candidates is as under:
It will be a binomial distribution.
So,
P(X>=11)=[tex]12C_{11}(0.925)^{11} (0.075)^{1} +12C_{12}(0.925)^{12} (0.075)^{0}[/tex]
=12*0.4241*0.075+1*0.3923
=0.3816+0.3923
=0.7739
Hence the probability that at least 11 of them graduated is 0.7739 if graduation rate is 92.5%.
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Question Content Area
Service Department Charges and Activity Bases
Middler Corporation, a manufacturer of electronics and communications systems, uses a service department charge system to charge profit centers with Computing and Communications Services (CCS) service department costs. The following table identifies an abbreviated list of service categories and activity bases used by the CCS department. The table also includes some assumed cost and activity base quantity information for each service for October.
CCS Service
Category
Activity Base
Budgeted Cost Budgeted Activity
Base Quantity
Help desk Number of calls $160,000 3,200
Network center Number of devices monitored 735,000 9,800
Electronic mail Number of user accounts 100,000 10,000
Smartphone support Number of smartphones issued 124,600 8,900
One of the profit centers for Middler Corporation is the Communication Systems (COMM) sector. Assume the following information for the COMM sector:
• The sector has 5,200 employees, of whom 25% are office employees.
• All the office employees have been issued a smartphone, and 96% of them have a computer on the network.
• One hundred percent of the employees with a computer also have an e-mail account.
• The average number of help desk calls for October was 1.5 calls per individual with a computer.
• There are 600 additional printers, servers, and peripherals on the network beyond the personal computers.
a. Determine the service charge rate for the four CCS service categories for October.
CCS Service Category Service Charge Rate
Help desk $fill in the blank 1
Per call
Network center $fill in the blank 3
Per device monitored
Electronic mail $fill in the blank 5
Per user or e-mail account
Smartphone support $fill in the blank 7
Per smartphone issued
b. Determine the charges to the COMM sector for the four CCS service categories for October.
October charges to the COMM sector
Help desk charge $fill in the blank 9
Network center charge $fill in the blank 10
Electronic mail charge $fill in the blank 11
Smartphone support charge $fill in the blank 12
Feedback Area
Feedback
a. Divide the budgeted cost by the budgeted activity base quantity for each category.
b. Determine the Help desk charge by multiplying the rate from (a) by the number of employees times the percentage of office employees times the percentage with a computer times the number of calls. Follow a similar process for each of the other three categories.
Learning Objective 3.
The service charge rate are: Help desks $50 per call, Network center $75 per device monitored, Electronic mail $10 per user or per e-mail account, Local voice support $14 per phone extension.
Service charge ratea. Service charge rate
Service charge rate=Budgeted cost/ Budgeted activity base quantity
Help desks:
Service charge rate=$160,000/3,200 calls
Service charge rate=$50 per call
Network center:
Service charge rate=$735,000/9,800 devices
Service charge rate=$75 per device monitored
Electronic mail:
Service charge rate=$100,000/10,000 accounts
Service charge rate=$10 per user or per e-mail account
Local voice support:
Service charge rate=$124,600/8,900 phone extensions
Service charge rate=$14 per phone extension
b. Help desk charge
Help desk charge =(Number of employees times × Percentage of office employees× Percentage with a computer ×Number of calls)× Service charge rate
Help desk charge:
(5,200 employee×25%×96%×1.5)× $50 per call
=$93,600
Network center charge:
[(5,200 employee×25%×96%)+ 600]× $75 per device
=$138,600
Electronic mail:
(5,200 employee×25%×96%×100)×$10 per user or per e-mail account
=$12,480
Local voice support:
(5,200 employee×25%)× $14 per phone extension
=$18,200
Therefore the service charge rate are: Help desks $50 per call, Network center $75 per device monitored, Electronic mail $10 per user or per e-mail account, Local voice support $14 per phone extension.
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Sierra buys lunch in the cafeteria everyday. Lunch costs $2.00 each day, how much did she spend after 5 days.
Answer:
$2.00 each day so $2.00 x 5 = $10
X=y
Y=x
Is this is inverse equation
The inverse equation of x = y is y = x
What are inverse equations?Inverse equations are the opposite of an original equation
How to determine the inverse equation?The equation is given as
x = y
Swap the positions of x and y in the above equation
y = x
This means that the inverse equation of x = y is y = x
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