The count of the denominations of the bills of $1, $5, and $10, are 15, 10, and 5, respectively.
In the question, we are given that there are 3 denominations of bills in a wallet: $1, $5, and $10. There are 5 fewer $5-bills than $1-bills. There are half as many $10-bills as $5-bills.
We are asked to find the count of each denomination, given there was altogether $115 in the bag.
We assume the number of $1-bills in the bag to be x.
Total amount in x bills of $1 = x * $1 = $x.
Given that there are 5 fewer $5-bills than $1-bills in the bag, number of $5-bills in the bag = x - 5.
Total amount in (x - 5) bills of $5 = (x - 5) * $5 = $5(x - 5).
Given that there are half as many $10-bills as $5-bills in the bag, number of $10-bills in the bag = (x - 5)/2.
Total amount in (x - 5)/2 bills of $10 = (x - 5)/2 * $10 = $5(x - 5).
Thus, the total amount in the bag = $x + $5(x - 5) + $5(x - 5).
But, the total amount in the bag = $115.
Thus, we get an equation:
$x + $5(x - 5) + $5(x - 5) = $115,
or, x + 5x - 25 + 5x - 25 = 115,
or, 11x = 115 + 50,
or, 11x = 165,
or, x = 165/11,
or, x = 15.
Thus, number of $1-bills = x = 15.
The number of $5-bills = x - 5 = 15 - 5 = 10.
The number of $10-bills = (x - 5)/2 = (15 - 5)/2 = 10/2 = 5.
Thus, the count of the denominations of the bills of $1, $5, and $10, are 15, 10, and 5, respectively.
The provided question is incomplete. The complete question is:
There are 3 denominations of bills in a wallet: $1, $5, and $10. There are 5 fewer $5-bills than $1-bills. There are half as many $10-bills as $5-bills. If there is $115 altogether, find the number of each type of bill in the wallet."
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Kayla created the graph below to represent the solution to the inequality Negative 8 less-than x.
A number line going from negative 11 to negative 1. A closed circle is at negative 8. Everything to the left of the circle is shaded.
What errors did she make? Select two options.
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the right.
She should have used a circle at –7 as the end of the ray.
She should have used a circle at –9 as the end of the ray.
Kayla made two errors which are as follows :-
She should have used an open circle at the end of the rayShe should have pointed the arrow to the right.How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
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Which best describes the composition of tranformations that maps ∆LMN to ∆L'M'N'. 0,0 is the center of the dilation in each choice.
A. a reflection over the line y=3 followed by a dilation of scale factor 2
B. a dilation of scale factor 2 followed by a dilation of scale factor 12
C. a dilation of scale factor 12 followed by a translation left 1 down 3
D. a dilation of scale factor 2 followed by a translation right 1 up 3
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
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The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Based on the given graph relating to the company's profit f(x), the x-intercepts are (0, 0) and (0, 8) and the maximum value is 270.
What does the graph show?The x-intercepts are the points where the graph crosses the x axis. It does so at first at (0,0) and then after going up and coming down, it again intersects at (0, 8).
The maximum value the graph reaches is 270 on the y-axis.
The function is increasing at the interval, (0, 4) and decreasing from (4, 8).
What this shows is that an increase in price between 0 and 4 would lead to an increase in profit but between 4 and 8 results in profits dropping.
In part B, the average rate of change from x=1 to x =4 is:
= (270 - 120) / (4 - 1)
= 50
In part c, the constraints are:
x ≥ 0
f(x) x ≤ 8
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Name the set(s) to which each number belongs.*
-20√/10
*More than one answer may be correct mark all correct answers.
A. reals
B. whole
C. integer
D. rationals
E. irrationals
F. natural
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
The given number is :
[tex]\qquad❖ \: \sf \: \cfrac{ - 20}{ \sqrt{10} } [/tex]
since 10 isn't a perfect square, root 10 is an irrational number, and therefore the whole number is irrational as well, and we already know that irrational numbers are also part of real numbers.
[tex] \qquad \large \sf {Conclusion} : [/tex]
So the Correct choices are :
A. RealE. IrrationalA sprinkler is set to water the backyard flower bed. The stream of water and where it hits the ground at the end of the stream can be modeled by the quadratic equation −2+14+61=0 − x 2 + 14 x + 61 = 0 where x is the distance in feet from the sprinkler. What are the two solutions in exact form?
The solutions to the quadratic equation of the sprinkler in the exact form are x = 7 + 2√110 and x = 7 - 2√110
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the solution to the quadratic equation?A quadratic equations can be split to several equations and it can be solved as a whole
In this case, the quadratic equation is given as
-x^2 + 14x + 61 = 0
Using the form of the quadratic equation y = ax^2 + bx + c, we have
a = -1, b = 14 and c = 61
The quadratic equation can be solved using the following formula
x = (-b ± √(b^2 - 4ac))/2a
Substitute the known values of a, b and c in the above equation
x = (-14 ± √(14^2 - 4*-1*61))/2*-1
Evaluate the exponent
x = (-14 ± √(196 - 4*-1*61))/2*-1
Evaluate the products
x = (-14 ± √(196 + 244))/-2
Evaluate the sum
x = (-14 ± √(440))/-2
Express 440 as 4 * 110
x = (-14 ± √(4 * 110))/-2
Take the square root of 4
x = (-14 ± 2√110)/-2
Evaluate the quotient
x = 7 ± 2√110
Split the equation
x = 7 + 2√110 and x = 7 - 2√110
Hence, the solutions to the quadratic equation of the sprinkler in the exact form are x = 7 + 2√110 and x = 7 - 2√110
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An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so
the equation to solve is 2a + b = 15.7.
ayer/
If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side,
which lengths make sense for possible values of b? Select two options.
The value of the base b in the isosceles triangle is 3.1 inches.
According to the statement
we have given that the
equation is 2a + b = 15.7 and if one longer sides is 6.3 centimeter.
And we have to find the length of the base. Then
2a + b = 15.7
Here a is 6.3 cm then
Substitute the values in it then
2a + b = 15.7
2(6.3) + b = 15.7
After solving the equation
12.6 + b = 15.7
b = 15.7 - 12.6
Now we get the value of base b which is 3.1.
So, b = 3.1
So, The value of the base b in the isosceles triangle is 3.1 inches.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths.
If one of the longer sides is 6.3 centimeters, what is the length of the base?
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Solve the inequality 2x>30+5/4x
Answer:
Step-by-step explanation:
[tex]2x > 30+\frac{5}{4x} \\2x-\frac{5}{4x} > 30\\\frac{8x^2-5}{4x} > 30\\case~1\\if~x > 0\\8x^2-5 > 120x\\8x^2-120x > 5\\x^2-15x > \frac{5}{8} \\adding~(-\frac{15}{2} )^2~to~both~sides\\(x-\frac{15}{2} )^2 > \frac{5}{8}+\frac{225}{4} \\(x-\frac{15}{2} )^2 > \frac{455}{8} \\x-\frac{15}{2} < -\sqrt{\frac{455}{8} } \\x < \frac{15}{2}-\sqrt{\frac{455}{8} } \\or~x < 0\\rejected~as~x > 0[/tex]
[tex]x-\frac{15}{2} > \sqrt{\frac{455}{8} } \\x > \frac{15}{2} +\sqrt{\frac{455}{8} }[/tex]
case~2
[tex]if~x < 0\\8x^2-5 < 120x\\8x^2-120x < 5\\x^2-15x < \frac{5}{8} \\adding~(-\frac{15}{2} )^2\\(x-\frac{15}{2} )^2 < \frac{5}{8} +(-\frac{15}{2} )^2\\|x-\frac{15}{2} | < \frac{5+450}{8} \\-\sqrt{\frac{455}{8} } < x-\frac{15}{2} < \sqrt{\frac{455}{8} } \\\frac{15}{2} -\sqrt{\frac{455}{8} } < x < \frac{15}{2} +\sqrt{\frac{455}{8} } \\but~x < 0\\7.5-\sqrt{\frac{455}{8} } < x < 0[/tex]
Find X:
J:58
K:70
L:111
M:121
Answer: 111
Step-by-step explanation:
Angles in a quadrilateral add to 360 degrees, so:
[tex]121+58+70+x=360\\\\x=111[/tex]
Answer:
111
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 360:
121 + 58 + 70 + x = 360 add like terms
249 + x = 360 subtract 249 from both sides
x = 111 is the measure of the angle represented with x
Given that mLa = 36° and m
Answer:
mLx = 144
mLy=154
Step-by-step explanation:
180-36=144
x=144
180-62=118
36+118=154
180-154=26
180-26=154
y=154
Answer:
154 degrees
Step-by-step explanation:
you can find measure of angle y, since it is the supplement of angle a, so
measure of angle y = 180 - measure of angle a, which is 144 degrees
you can find the measure of angle x, by finding its complement.
Looking at the center triangle, we see that it is formed from angle a, the supplement of angle b, and the supplement of angle x, so the equation is 180 = 36 + 180 - 62 + supplement of angle x
so, the supplement of angle x is 26 degrees, so x is 154 degrees
What is the measure of RCP?
Answer:
84
Step-by-step explanation:
15+15+27+27
Find a potential function for the vector field
The answers to the question are given as x²y + 24x +16y and 87
How to solve for the potential function of the vector field
(2xy + 24, x² + 16)
We have to check in order to be sure that the vector that we have here is a gradient field
we have fx = 2xy + 24 and fy = x² + 16
Such that we would have x²y + 24x +g(y)
for f(y) g' = 16 = 16 + c
Given that there is no lose of generality, we are going to have the following where
x²y + 24x +16y
b. We have to solve this oart by making use of the fundamental theory of integrals
f2,4 = 4*4 + 24*2 + 16*4
= 16 + 48 + 64
= 128
f1,1 = 1*1 + 24*1 + 16*1
= 1 + 24 + 16
= 41
128 - 41 = 87
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After finishing the prep work, Gilberta and María start removing wallpaper at the same time. Gilberta removes the paper at a constant rate of
4.3
m
2
4.3m
2
4, point, 3, start text, m, end text, squared per hour, while María removes
3.4
m
2
3.4m
2
3, point, 4, start text, m, end text, squared of paper per hour. Gilberta's room starts with
35
m
2
35m
2
35, start text, m, end text, squared of paper, and María's room starts with
30.5
m
2
30.5m
2
30, point, 5, start text, m, end text, squared of paper.
Let
t
tt represent the time, in hours, since Gilberta and María start removing the wallpaper.
Complete the inequality to represent the times when Gilberta has more wallpaper left in her room than María has in hers.
t
tt
select inequality symbol
hours
Show Calculator
Using linear functions, the inequality that represents when Gilberta has more wallpaper left in her room than María has in hers is: t < 5.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we consider:
The initial amount as the y-intercept.The rate as the slope.Hence the amounts Gilberta and Maria have left after t hours are given by:
G(t) = 35 - 4.3t.M(t) = 30.5 - 3.4t.Gilberta has more papers when:
G(t) > M(t).
Hence:
35 - 4.3t > 30.5 - 3.4t
-0.9t < -4.5
Multiplying by -1:
0.9t < 4.5
t < 4.5/0.9
t < 5.
Hence the inequality is:
t < 5.
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Answer:
t < 5
Step-by-step explanation:
Other dude is right but here's the version without explanation
A closed box with a square base is to have a volume of 16000 cubic centimeters. The material
for the top and bottom of the box costs $3 per square centimeter while the material for the sides
costs $1.50 per square centimeter. Find the dimensions of the box that will minimize the total
cost of materials. What is the minimum total cost?
The most suitable measurements for a box with a square base are 5cm (width) x 5cm (length) x 640cm (height). This box would be worth $4875
How to calculate the minimum value of the box?To find the minimum value of a box that must have a square base and 16000 cm³, we must try different measurements to find the variable that represents the least value.
In this case, the variable that represents less value is a base of 5cm x 5cm and a height of 640cm. This means that the box would be worth $4875 as shown below.
Base
5cm × 5cm = 25cm²25cm² x 3 = $75Sides
5cm × 640cm = 3200cm²3200cm² × $1.50 = $4800$4,800 + $75 = $4,875Additionally, we can check that the volume of the box is the required 16000cm³, as shown below:
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Study the spinner below. If wedges 2 and 5 are each twice the area of one of
the other wedges, what is the likelihood of landing on 2 or 3?
Using the probability concept, the likelihood of landing on 2 or 3 is given by:
[tex]p = \frac{3}{8}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching this problem on the internet, considering the areas of 2 and 5 counting twice, the spinner has 8 areas, out of which 3 are 2 or 3, hence the probability is given as follows:
[tex]p = \frac{3}{8}[/tex]
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Michael is an art elective programme student who
is working on an assignment. He plans to cover a
rectangular sheet of paper of dimensions 126 cm by
108 cm with identical square patterns.
(i) What is the least number of square patterns
that could be formed on the sheet of paper?
(ii) How do you determine what other shapes
can the patterns be if they are to fit the sheet of
paper perfectly? Explain your answer.
Answer:
Step-by-step explanation:
find the prime factors of given numbers:
126= 2*3*3*7- this side can be cut into any number here or combination of numbers as per factors
108= 2*2*3*3*3 - same as above
As per prime factors, the squares can be of sizes:
2×2, 3×3, 6×6, 9×9 and 18×18
The least number can be obtained with the biggest size option 18×18, this will give 7*6=42 square
(3a to 3rd power - 5b to 3rd power) + ? 3/a + ? b to the 3rd power = (3/a + b to the 3rd power)
The simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³
How to solve Algebraic Fractions?
We want to solve the algebraic fraction equation given as;
3a³ - 5b³ + (3/a) + b³
Rearranging the algebra to get;
(3a³ + (3/a)) + b³ - 5b³
Factorizing out 3/a and simplifying gives;
(3/a)(a⁴ + a) - 4b³
This is the final part for the simplification of the given algebraic fraction. Thus, we can conclude that the simplification of the algebraic fraction equation given as 3a³ - 5b³ + (3/a) + b³ is; (3/a)(a⁴ + a) - 4b³
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find the square roots by division method of 210,681 please tell me
Answer:
459
Step-by-step explanation:
The "long division method" algorithm for square root makes use of the relation described by the square of a binomial.
(a +b)² = a² +2ab +b² = a² +b(2a +b)
StepsThe value for which the root is desired is written with digits marked off in pairs either side of the decimal point.
The initial digit of the root is the integer part of the square root of the most-significant pair. Here that is floor(√21) = 4. This is shown in the "quotient" spot above the leftmost pair. The square of this value is subtracted, and the next pair brought down for consideration. Here, that means the next "dividend" is 506.
The next "divisor" will be 2 times the "quotient" so far, with space left for a least-significant digit. Here, that means 506 will be divided by 80 + some digits. As in regular long division, determining the missing digit involves a certain amount of "guess and check." We find that the greatest value 'b' that will give b(80+b) ≤ 506 is b=5. This is the next "quotient" digit and is placed above the "dividend" pair 06. The product 5(85) = 425 is subtracted from 506, and the next "dividend" pair is appended to the result. This makes the next "dividend" equal to 8181.
As in the previous step, the next "divisor is 2 times the quotient so far: 2×45 = 90, with space left for the least significant digit. 8181 will be divided by 900-something with a "quotient" of 9. So, we subtract the product 9(909) = 8181 from the "dividend" 8181 to get the next "dividend." That result is zero, so we're finished.
The root found here is 459.
__
Additional comment
In practice, roots are often computed using iterative methods, with some function providing a "starter value" for the iteration. Some iterative methods can nearly double the number of good significant digits in the root at each iteration.
Using this "long division method," each "iteration" adds a single significant digit to the root. Its advantage is that it always works, and is generally suitable for finding roots by hand. Once the number of root digits begins to get large, the "divisor" starts to be unwieldy.
If 55 people enrolled in a psychology course but only 25 completed it, what percent of the students completed the course? (Round to the nearest tenth of a percent.)
Answer:
45%
Step-by-step explanation:
Simply, 25/55 which gives you 0.454545.
Convert that to a percentage and you get 45%
Factor the common factor out of 8^3 + 12x
The factorized expression of 8^3 + 12x is 4(128+ 3x)
How to factor the common factor out?The expression is given as:
8^3 + 12x
Evaluate 8^3
8^3 + 12x = 512 + 12x
Factor out 2 from the expression
8^3 + 12x = 2(256+ 6x)
Factor out 2 from the expression
8^3 + 12x = 2 * 2(128+ 3x)
Evaluate the product
8^3 + 12x = 4(128+ 3x)
Hence, the factorized expression of 8^3 + 12x is 4(128+ 3x)
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Which expression is equivalent to (27.3 5.9)47
O 211.3-1.95
O228-(-3) 20.94
O 27.3-5.04
O228-3-20.94
The correct answer is Option 4.
Please help! I don't understand how to solve this problem
Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.Assuming an uniform distribution, the standard deviation is given by:
[tex]S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.006 = 1.96\frac{1.1547}{\sqrt{n}}[/tex]
[tex]0.006\sqrt{n} = 1.96 \times 1.1547[/tex]
[tex]\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2[/tex]
n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
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A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can complete the same job in 15 minutes. If both computers are working together, how long will it take them to do the job?
Do not do any rounding
Minutes =
Answer:
15.25 given using both
Step-by-step explanation:
Slow com= 60 all mail
Fast clm= 15 all mail
Given both bejng used
60 min ÷ 15 min = intervall of 4 unbroken min
and
15min÷60min= 0.25
0.25mjn×60sec= 15sec
Sret =15min anfd 15 seconds/ 15.25min
You have moved into a new house and your friends have come over to help paint the walls. Everyone paints at the same rate of 1.5 hours/wall.
QUESTION: If there are six people painting on Saturday, how many walls could you get painted in 3 hours?
walls
Answer:
12 walls
Step-by-step explanation:
Let's take everyone paints a different wall and there are no overlaps.
Given information from the question:
1.5 hours = 1 wall
1 hour =
[tex] \frac{1}{1.5} \\ = \frac{2}{3} walls[/tex]
per person.
From the information above, we can deduce:
6 people =
[tex] \frac{2}{3} \times 6 \\ = \frac{12}{3} \\ = 4 \: walls[/tex]
Since we know 6 people can paint 4 walls in an hour,
3 hours =
[tex]3 \times 4 \\ = 12 \: walls[/tex]
An insurance provider states that their customers save at least, on average, 300 dollars per year by switching to them, with a standard deviation of 150 dollars. Before we decide to switch to the new company and go through all of the hassle, we want to test the claim. So, we go out and sample 64 individuals who switched to the new insurance company and found them to have saved an average of 255 dollars per year. Do we have enough evidence at the α = 0.05 level to state that the insurance provider is false in their claim? Discussion Prompts Answer the following questions in your initial post: What are the hypotheses based on the words given in the problem? Should we use a Z or T distribution in this case? What is our Z or T statistic? What is the P-value? Based on your p-value and alpha, what conclusion will we make? Based on your results, would you switch to this company? Explain why or why not (Note: this can go beyond the use of statistics, but statistical analysis can help our decisions)
The solution to the question is mathematically given as
1)
H0: M [tex]\geqslant[/tex] 300
H0: M [tex]\geqslant[/tex] 300
2)
Z distribution.
3)
z=-2.4
4)
P=0.0082
5)
"H0" is rejected as a hypothesis with a level of significance of 0.05.
What is the hypothesis ?Generally, the equation for is mathematically given as
Solutions
we have, [tex]$u=300$$$\begin{aligned}& \sigma=150 \text { dollars } \\N &=64 \text { individuals } \\\bar{x} &=255 \text { dollare. } \\a=& 0.05 .\end{aligned}[/tex]
(1):
H0: M [tex]\geqslant[/tex] 300 dollars; customers save at least 300 dollars per year by switching to them.
H0: M [tex]\geqslant[/tex] 300 dollars:
(This is a left-tailed test)
(2):
when [tex]\sigma[/tex] is known, we use the Z test. we use Z distribution.
(3):
[tex]\begin{gathered}z=\frac{\bar{x}-\mu}{6 / \sqrt{n}}=\frac{255-300}{150 / \sqrt{64}}=\frac{-45}{18.75}=-2.4 \\z=-2.4\end{gathered}[/tex]
(4):
[tex]Pvalue $=P(z < -2 \cdot 4)$ $=0.0082 \quad\{$ wing $z$ tables $\}$ \\\\\text { Pvalue }=0.0082[/tex]
(5):
In conclusion, Since p-value = 0·0082 <0.05
This is statistically significant at the 0.05 level.
We thus "Refect H0" using a threshold of significance of 0.05.
"H0" is rejected as a hypothesis with a level of significance of 0.05.
There is not enough data to support the assertion that consumers may save at least $300 annually by switching insurance providers.
Therefore, we would not consider making the transition to this firm.
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thank you for helping
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
The answers to the question are:
50751014a. How to determine the service charge rate for the month of OctoberThis is the number of calls for the help desk
160000/3200 = 50per call
network center
735000/9800
= 75 per device that was monitored
Electronic mail
100000/10000 =
10 for the mail account
For smart phone support
124600/8900
= 14 per phone extension
b. Charges to the COMM sectorfor helpdesk
5200 * 0.25 * 0.96 *1.5 calls * $50
= 93600
For network center
(5200 * 0.25 * 0.96) + 600] x 75
= 138600
For Electronic mail
5200 * 0.25 * 0.96 * 10 per email account
= 12480
Smart support charge
5200 * 0.25 * 14 = 18200
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if (a+10) and a are in straight line find the value of a
Answer:
a=170
Step-by-step explanation:
(a+10)=180[because being a straight line]
or, a+10=180
or,a=180-10
a=170
Therefore,a=170
To heat up an undetermined volume of water from 20 degrees to 50 degrees takes 5 minutes. What is the heating factor of the element used to heat up water?
Answer:
Step-by-step explanation:
deleted
Heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
What is heat?According to thermodynamics, heat is a type of energy that crosses a thermodynamic system's border due to a temperature differential across the barrier. In a thermodynamic system, heat is not present.
But the phrase is also frequently used when referring to the thermal energy that makes up a system's internal energy and is reflected in the system's temperature. Heat is a type of energy in both senses of the word. Heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
Therefore, heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
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Please answer this question
Answer:
1 and 4
Step-by-step explanation:
x-1 = 0
x = 1
x^2 - 5x + 4
(x-4)(x-1) = 0
x can't be 1 or 4
Answer: 1 and 4
Step-by-step explanation:
1. To find excluded values, we need to make the denominator equal to zero.
x² - 5x + 4 = 0
2. Then we need to find the x the product of them was 4, but they add up to -5, which are -4 and -1. We get:
(x - 4)(x - 1) = 0
x - 4 = 0 x - 1 = 0
x = 4 x = 1
These two numbers will make the denominator equal to 0, the denominator cannot be equal to 0, so they are excluded numbers.
HELP. Which statement best describes the domain of the function represented in the graph?
05 ≤x≤ 60, or x is from 5 to 60 05 ≤ x ≤ 30, or x is from 5 to 30 O 30 ≤ x ≤ 60, or x is from 30 to 60 00≤x≤ 30, or x is from 0 to 30
