For the relevant range of production of units total amount of product and period cost as per units are,
Total amount of product costs for 29,250 units is $687,375.
Total amount of period costs incurred for 29,250 units is $58,511.50
Total amount of product costs for 33,500 units is equal to $787,250.
Total amount of period costs for 25,000 units is equal to $50,011.50.
Average Cost per Unit Direct materials = $ 8. 50
Direct labor = $ 5. 50
Variable manufacturing overhead = $ 3. 00
Fixed manufacturing overhead = $ 6. 50
Fixed selling expense = $ 5. 00
Fixed administrative expense = $ 4. 00
Sales commissions = $ 2. 50
Variable administrative expense = $ 2. 00
Total unit produced = 29,250 units,
Total product costs
= (Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead) x Number of units produced
= ($8.50 + $5.50 + $3.00 + $6.50) x 29,250
= $23.50 x 29,250
= $687,375
The total amount of product costs incurred to make 29,250 units is $687,375.
Total period costs
= Fixed selling expense + Fixed administrative expense + Sales commissions + (Variable administrative expense x Number of units sold)
= $5.00 + $4.00 + $2.50 + ($2.00 x 29,250)
= $5.00 + $4.00 + $2.50 + $58,500
= $58,511.50
The total amount of period costs incurred to sell 29,250 units is $58,511.50
For the number of units produced changed to 33,500.
Total product costs
= (Direct materials + Direct labor + Variable manufacturing overhead + Fixed manufacturing overhead) x Number of units produced
= ($8.50 + $5.50 + $3.00 + $6.50) x 33,500
= $23.50 x 33,500
= $787,250
The total amount of product costs incurred to make 33,500 units is $787,250.
The number of units sold changed to 25,000.
Total period costs
= Fixed selling expense + Fixed administrative expense + Sales commissions + (Variable administrative expense x Number of units sold)
= $5.00 + $4.00 + $2.50 + ($2.00 x 25,000)
= $5.00 + $4.00 + $2.50 + $50,000
= $50,011.50
The total amount of period costs incurred to sell 25,000 units is $50,011.50.
Therefore, the total amount of the product and period cost for different situations are,
Total amount of product costs is equal to $687,375.
Total amount of period costs incurred is equal to $58,511.50
Total amount of product costs is equal to $787,250.
Total amount of period costs is equal to $50,011.50.
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please help my answers are wrong
The proof that shows that sides SP is congruent to side TR is explained below.
How to Prove that Sides SP and TR are Congruent to Each Other?First, using the given information, we have to establish that both triangles are congruent to each other, then state that the two sides are congruent since corresponding parts of congruent triangles are congruent.
Therefore, the correct proof is:
Statement Reason
1. QP ≅ QR; SQ ≅ TQ 1. Given
2. <SQP ≅ <TQR 2. Vertical Angle Theorem
3. ΔSQP ≅ ΔTQR 3. SAS congruence theorem
4. SP ≅ TR 4. Corresponding parts of congruent
triangles are congruent.
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Can you help me with this
The rate at which Macros is pumping gas into his car is 1/6 gallons per second, which simplifies to 1 gallons per second. The correct answer is a. 1 gallons per second.
What is slope?The slope of the line is equal to the change in y-values (gallons of gas in car) divided by the change in x-values (seconds spent pumping gas).
To calculate the rate at which Macro is pumping gas into his car, we need to determine the slope of the line represented by the table values.
We can calculate the slope by subtracting the y-values for the first two points
(3 - 5 = -2)
and the x-values for the first two points
(0 - 12 = -12).
The slope is then equal to -2/-12 = 1/6.
Since the slope represents the rate of change, the rate at which Macro is pumping gas into his car is 1/6 gallon per second. This means that for every second he pumps gas into his car, he will add 1/6 gallon of gas.
This means that for every 6 seconds Macros pumps, he increases the amount of gas in his car by 1 gallon. Thus, the rate at which Macros is pumping gas into his car is 1/6 gallons per second, which simplifies to 1 gallons per second.
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Divide.
6 2/3÷1/5
Express your answer as a mixed number in simplest form.
Enter your answer in the box.
a
Answer:
33 1/3
Step-by-step explanation:
turn to improper for a simpler answer
6 2/3 = 20/3
20/3 ÷ 1/5
whenever you divide fractions, you change the symbol to multiplication and divide with the reciprocal, so you get:
20/3 * 5/1
multiply
20 * 5 = 100
3 *1 = 3
100/3
is equal to 33 1/3
Planes A and B intersect.
Which describes the intersection of line m and line n?
m
O point w
O point X
O point Y
O point Z
Answer:
Hello!
____________________
Your answer would be (A) O point W.
Step-by-step explanation: Intersection of the two lines is defined as the point where the two lines cross or meet each other.
It is given that the lines m and n intersect each other, which means that they must be intersecting each other at some point.
From the figure, it can be seen that in plane A, the lines m and n intersect each other at point W, thus point W is the point of intersection of the two line m and n.
Hence, option A is correct.
Hope this helped you!
Answer: point w hope this helped
Step-by-step explanation:
solve for x
\( - \frac{1}{2} ( x + 2) + 1 \frac{1}{2} x = 3\)
1. ×=1
2. ×=2
3. ×=4
4. ×=5
Option 3 x = 4 is the correct option for the given equation .
What are linear equation ?Equations of the first order are linear equations. Lines in the coordinate system are determined by the linear equations. It is referred to be a linear equation in one variable when the equation only contains one homogeneous variable of degree 1. There might be more than one variable in a linear equation. Linear equations in two variables, for example, are those that have two variables in them. There are numerous instances of linear equations, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3.
here x is the variable
so
-1/2(x + 2) + 3/2x = 3
-x/2 - 1 + 3x/2 = 3
-x + 3x/2 = 3 + 1
2x = 2(4)
x = 4
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The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
which of the following is the solution to the differential equation dydt−2=−y with the initial condition y(0)=−3 ?
The solution to the differential equation dy/dt - 2 = -y with the initial condition y(0) = -3 can be found using separation of variables. We first isolate the y term on one side of the equation: dy/dt = -y + 2. Then we separate the variables and integrate both sides:
∫dy/y-2 = -∫dt
ln|y-2| = -t + C
where C is the constant of integration. To find the value of C, we use the initial condition y(0) = -3:
ln|-3-2| = -0 + C
C = ln(5)
Therefore, the solution to the differential equation with the given initial condition is:
ln|y-2| = -t + ln(5)
|y-2| = e^(-t+ln(5))
|y-2| = e^ln(5/e^t)
|y-2| = 5/e^t
Solving for y, we get two possible solutions: y = 2 + 5/e^t or y = 2 - 5/e^t. However, since y(0) = -3, we can only take the solution y = 2 + 5/e^t, which satisfies the initial condition.
The differential equation dy/dt - 2 = -y is an example of a first-order linear ordinary differential equation. This type of equation has a standard form of dy/dt + P(t)y = Q(t), where P(t) and Q(t) are functions of t. In this case, P(t) = 1 and Q(t) = 2. To solve this type of equation, we can use the method of integrating factors or separation of variables. In this solution, we used separation of variables to find the general solution of the differential equation. However, to find the particular solution that satisfies the initial condition y(0) = -3, we needed to use the constant of integration. It is important to note that first-order differential equations arise in many applications in science and engineering, and the ability to solve them is a fundamental skill for many fields.
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Calculate the volume
Match the question with the answer (e.G. 1 + C) 26 x 5 161 2. 25 x 6 130 3. 22 x 6 168 4. 21 x 8 150 5. 23 x 7 132 Answers: 1 + 2 + 3 + 4 + 5 +
Answer:
1+B,2+D,3+E,4+C and 5+A
Step-by-step explanation:
(A)161 (B)130 (C)168 (D)150 (E)132
1. 26 x 5=130
This is Option B, therefore we have the match:1+B
2. 25 x 6=150
This is Option D, therefore we have the match:2+D
3. 22 x 6=132
This is Option E, therefore we have the match: 3+E
4. 21 x 8=168
This is Option C, therefore we have the match: 4+C
5. 23 x 7=161
This is Option A, therefore we have the match:5+A
ANSWER QUICK PLS! (giving brainliest) when making pancakes, the amount pancake mix
varies directly with the number of pancakes made. If 2 cups of mix produces 13 pancakes, how many
pancakes would be produced with 12 cups of pancake
mix?
Answer:
78 pancakes
Step-by-step explanation:
To solve this problem, we can use a proportion.
\(\frac{2}{13}\)=\(\frac{12}{x}\)
2(6)=12
13(6)=78
Therefore, 78 pancakes would be produced with 12 cups of pancake mix.
In the figure below, AX'Y'Z' is a dilation of AXYZ. Find the scale factor of the dilation, andspirit as an enlargement or a reduction. What is the scale factor?What is the Classify?
The scale factor can be obtained by determining the ratio of the length of the sides of the old and new figures.
In other words, it can be obtained by stating that:
\(\text{scale factor=}\frac{lengthofsideoftriangleX^IY^IZ^I}{\text{length of side of triangle XYZ}}\text{ }\)Specifically, we can say that:
\(\text{scale factor=}\frac{X^IY^1}{XY}=\frac{X^IZ^I}{XZ}=\frac{Y^IZ^I}{YZ}\)Now, if each block (or cell) on the graph represents 1 units, we have that:
X'Y' = 10 units and XY = 5 units
Therefore:
\(undefined\)41. The Puuur Place builds customized cat trees for pet owners. The basic tree is $100 and each additional platform, perch, or toy costs $50. Meow Now also builds customized cat trees. Their basic cat tree starts at $50 and each additional piece costs $75.
[A] Write and solve a system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store.
[B] Solve this system of equations and show your work.
[C] Reggie wants to purchase a cat tree for his pets. Based on your work, explain which store would be cheaper depending on how many add-ons he wants to purchase.
The system of equations to represent the total cost, y, when x additional pieces are purchased with a basic cat tree at each store are;
y = 50x + 100 ------(eq 1)
y = 75x + 50 ------(eq 2)
How to Solve Simultaneous Equations?A) Let the total cost of the cat tree be y
Let each additional piece added be x.
Since basic tree is $100 and each additional platform costs $50, then we can say that;
y = 50x + 100 ------(eq 1)
Now, their basic cat tree starts at $50 and each additional piece costs $75. Thus;
y = 75x + 50 ------(eq 2)
B) Subtract eq 1 from eq 2 to gte;
25x - 50 = 0
25x = 50
x = 50/25
x = 2
y = 75(2) - 50
y = $100
C) The Store that would be cheaper depending on the add - ons is Puuur Place because as x increases, it's y-value increases at a lesser rate than that of Meow.
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The most important component when reporting a numerical scientific result is the ______.
The most important component when reporting a numerical scientific result is the unit.
This is further explained below.
What is a numerical scientific result?Generally, Our work in numerical and scientific computing includes the creation, analysis, and implementation of computer algorithms with the purpose of finding mathematical solutions to issues originating in engineering and the sciences.
In conclusion, When presenting a numerical result from scientific research, the unit is the single most crucial component.
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is 8.141141114 a rational or irrational and why
Answer:
It's an irrational number
Step-by-step explanation:
Yes, 8.141141114 is not a rational number . it is a irrational number .generally we can find out a number is rational or irrational by seeing the number. If mentioned number were 8.141141141 then It would be a rational number because after point number 141 is repeated. Hence,Mentioned number is not look like that. so, it is a irrational number
Answer
A)75
B)65
C)60
D)70
Answer:
the answer is C your welcome!!!!
Step-by-step explanation:
Answer:
Let's denote O as center of circle.
=> Two isosceles triangles AOB and EOF are congruent (SSS).
Because AO = BO = EO = FO = radius of circle O, AB = EF = 8
=> Arc AB = AOB = EOF = Arc EF = 65 deg.
Hope this helps!
:)
A large 60-foot tall Mexican fan palm would be in correct proportion for a multi-story office complex but could dwarf a single story house. Group of answer choices True False
The given statement "A large 60-foot tall Mexican fan palm would be in correct proportion for a multi-story office complex but could dwarf a single-story house" is true.
The 60-foot-tall Mexican fan palm would be in correct proportion for a multi-story office complex. However, if it were planted next to a single-story house, it could overshadow it and appear too large. Therefore, we can say that the statement "A large 60-foot tall Mexican fan palm would be in correct proportion for a multi-story office complex but could dwarf a single-story house" is true.
A tall tree like this can be better suited to multi-story buildings with a larger size, making them look proportional. However, if placed next to a single-story house, it could overshadow and appear too large for the size of the house.
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Divide. 46 532 Enter your answer by filling in the boxes
Answer:
11.5652173913
Step-by-step explanation:
You might have to round
If (fg)(x) = h(x) such that h of x is equal to the square root of the quantity 8 times x plus 6 end quantity which of the following could accurately represent f and g?
f of x is equal to the square root of the quantity 4 times x plus 3 end quantity and g of x is equal to the square root of the quantity 4 times x plus 3 end quantity
f of x is equal to the square root of the quantity 4 times x plus 3 end quantity and g of x is equal to the square root of 2
f (x) = 8x + 6 and g of x is equal to the square root of x
f of x is equal to the square root of x and g(x) = 8x + 6
The possible definitions of f(x) and g(x), considering the composition of the functions, are given as follows:
\(f(x) = \sqrt{x}\)g(x) = 8x + 6.What is the composite function of f(x) and g(x)?The composite function of f(x) and g(x) is given by the following rule:
(f ∘ g)(x) = f(g(x)).
It means that the output of the inside function serves as the input for the outside function.
The functions for this problem are defined as follows:
\(f(x) = \sqrt{x}\)g(x) = 8x + 6.As the composition of the functions is then given as follows:
\(h(x) = f(g(x)) = f(8x + 6) = \sqrt{8x + 6}\)
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Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
should the researcher use the rows or the columns of the field as blocks? justify your answer.
Yes, the researcher use the rows or the columns of the field as blocks.
When conducting research, it is important to think about which structure to use as the basis for your work.
In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.
Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.
However, it can be challenging to discover similarities between data points within the same row.
Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.
Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.
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how many arrangements of mathematics are there in which each consonant is adjacent to a vowel?
There are 1,152 arrangements of "MATHEMATICS" in which each consonant is adjacent to a vowel.
To find the number of arrangements of the word "MATHEMATICS" in which each consonant is adjacent to a vowel, we can treat the consonants (M, T, H, M, T, C, and S) and vowels (A, E, A, I) as separate groups and arrange them in a way that each group of consonants is next to a group of vowels
We have two groups of vowels (A and E, and A and I) and three groups of consonants (MTHM, TC, and S). We can arrange the two vowel groups in 2! = 2 ways, and then arrange the three consonant groups in 3! = 6 ways. Within each group, the letters can be arranged in a total of 4! = 24 ways for the MTHM group, 2! = 2 ways for the TC group, and 1 way for the S group.
Therefore, the total number of arrangements in which each consonant is adjacent to a vowel is:
2! x 6 x 24 x 2 x 1 = 1,152
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let f, g, and h be functions n → n. that is, both the input and the output is a natural number. suppose further, that f(n)
In this scenario, we are given three functions: f, g, and h, where the input and output for each function are natural numbers. Additionally, we are given the condition that f(n) < g(n) < h(n) for all natural numbers n.
The objective is to determine the relationship between the three functions based on this condition.Based on the given condition, we can conclude that the output of function g is greater than the output of function f for all natural numbers. Similarly, the output of function h is greater than the output of function g for all natural numbers. This implies that the functions f, g, and h are ordered in increasing order.
In other words, for any input value n, the value of f(n) is the smallest, followed by g(n), and then h(n) is the largest. This order is maintained consistently for all natural numbers. This information allows us to establish the relative magnitudes of the outputs of the three functions and the overall ordering of the functions themselves.
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HELP TEST IS TIMED IF U DON'T KNOW PLEASE DON'T ANSWER
Braxton compared the number of shots taken by each team member during two basketball practices. The results are shown on the dot plots below. The mean number of shots taken at practice 1 is 13 and the mean number of shots taken at practice 2 is 14.5.
A dot plot titled Shots Taken at Practice 1. The number line goes from 10 to 16. There is 1 dot above 10, 1 above 11, 2 above 12, 4 above 13, 2 above 14, 1 above 15, and 1 above 16.
A dot plot titled Shots Taken at Practice 2. The number line goes from 10 to 16. There are 0 dots above 10, 11, and 12, 4 above 13, 2 above 14, 2 above 15, and 4 above 16.
Which is an accurate comparison of the two data sets?
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed less variability than the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
Answer: The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
Step-by-step explanation:
Help please I need this rn
Answer:
Bank A
Step-by-step explanation:
Answer:
a because its true it is
Step-by-step explanation:
a so a because its true
Anyone know the volume of this sphere?
Answer:
The diameter of a sphere is twice its radius. Therefore, if the diameter of the sphere is 36, the radius of the sphere is 18 (half of 36).
The volume of a sphere is given by the formula V = (4/3)πr^3, where π is approximately 3.14159 and r is the radius of the sphere.
Substituting the value of the radius, we get:
V = (4/3) × π × 18^3
= (4/3) × π × 5832
≈ 9733.78 cubic units
Therefore, the volume of the sphere with a diameter of 36 is approximately 9733.78 cubic units.
(please could you kindly mark my answer as brainliest)
What is the value of x to the nearest tenth? The figure is not drawn to scale.
A. x=35.6
B. x=10.5
C. x=4.9
D. x=1.5
The value of x corresponds to option B: 10.5 as the figure provided has two congruent figures inside it.
From the given image, we can consider that that the two triangles- one for which side x is given, and another for which measurements of both sides are given- are congruent. This is because they both have one common side and one angle equal to another at a vertex (refer image).
Thus, we have:
(x / 19.3) = (3.9 / 7.2)
Then, attempting to find the value of x we have:
x = (3.9 / 7.2) × (19.3)
= 10.5
Therefore, option B gives the measure of the side x of the given triangle, where x = 10.5.
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are younger people more likely to be vegan/vegetarian? to investigate, the pew research center classified a random sample of 1480 u.s. adults according to their age group and whether or not they are vegan/vegetarian.
Option E. Chi-square test for independence because the data come from two independent random samples – those who are vegan/vegetarian and those who are not.
The suitable chi-square test for this situation is the Chi-square test for freedom in light of the fact that the information came from a solitary irregular example with the people characterized by two downright factors. The factors are age bunch and being veggie lover/vegan. The Chi-square test for freedom is utilized to decide whether there is a huge connection between two unmitigated factors.
For this situation, it will help decide whether there is a critical relationship between age bunch and being veggie lover/vegan. In the event that the test shows a critical affiliation, it would propose that age bunch is an indicator of being veggie lover/vegan. This test is proper in light of the fact that it can decide whether the factors are free or on the other hand assuming they have a critical relationship.
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The complete question is:
Are younger people more likely to be vegan/vegetarian? To investigate, the Pew Research Center classified a random sample of 1480 U.S. adults according to their age group and whether or not they are vegan/vegetarian. Determine which chi-square test is appropriate for the given setting. Which response below gives the correct test with appropriate reasoning?
A. Chi-square goodness of fit test because the data came from a single random sample with the individuals classified by their chocolate consumption.
B. Chi-square test for homogeneity because the data come from two independent random samples – those who are vegan/vegetarian and those who are not.
C. Chi-square test for homogeneity because the data came from a single random sample with the individuals classified according to two categorical variables.
D. Chi-square test for independence because the data came from a single random sample with the individuals classified according to two categorical variables.
E. Chi-square test for independence because the data come from two independent random samples – those who are vegan/vegetarian and those who are not.
Why does the sequence of translating and reflections matter?
Answer:
If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph. If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.
Step-by-step explanation:
Hope this helps you with your math
Using the Binomial distribution,If n=7 and p=0.3, find P(x=6)
STEP - BY - STEP EXPLANATION
What to find?
P(x=6)
Given:
n=7 p=0.3
p+q = 1
⇒q = 1- p = 1-0.3 =0.7
Step 1
Recall the formula.
\(P(X=x)=^nC_xP^xq^{n-x}\)Step 2
Substitute the values into the formula.
\(P(x=6)=^7C_6(0.3)^6(0.7)^{7-6}\)Step 3
Simplify the above.
\(\begin{gathered} P(x=6)=7\times(0.3)^6\times(0.7) \\ \\ =0.0035721 \end{gathered}\)ANSWER
0.0035721
625=5^(7x-3) what is x
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)