Answer:270
Step-by-step explanation:
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −6
0 −3
1 0
g(x)
g(x) = 4x − 5
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Answer:Assuming the problem is for the linear functions:
f(x) = -1-50-113 g(x) = -51-113*(2x-7) = -226x+740
g(x) = 2x-7
Step-by-step explanation:
What is the area of a rectangle that is 4 inches by 2 inches?
Answer:
8
Step-by-step explanation:
5. In the diagram below, lines AB and CD intersect at E such that mZAEC = 2x+4 and
m/AED=5x+1.
Find the measure of ZDEB. Show how you found your answer.
Based on the information in the triangle, the measure of ZDEB is 54°.
How to calculate the valueA triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.
The sum of the measures of the angles of a triangle is 180 degrees. Therefore,
mZAEC + m/AED + mZDEB = 180
(2x+4) + (5x+1) + mZDEB = 180
7x+5 = 180
7x = 175
x = 25
mZDEB = 2x+4 = 2(25)+4 = 54 degrees
Hence, the answer is 54
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Please help me I’m almost done
Answer:
(x-3)²+(y-2)² = 16
Step-by-step explanation:
The formula for calculating the equation of a circle is exoressed as;
(x-a)²+(y-b)² = r²
(A, B) is the centre = (3,2)
r is theradius = 4units
Substitute;
(x-3)²+(y-2)² = 4²
(x-3)²+(y-2)² = 16
Ths gives the required equation
Grade For This Exam Selles
U 3 4 5 6
7
Grade For This Paper
3 4 5
9
6
7
8
9
Volume of a sphere = ter where r is the radius
A container is a hemisphere of radius 30 cm
a) Find the volume of the container.
14137.16694
cm3
(1)
Sand fills the container at a rate of 4500 cm3 per minute.
(2)
b) How long, to the nearest minute, will it take to fill the container?
12x30=15
12x 4/3tr2
12x4/3xTTX152
=113 -60 = 1.88mintues
Total marks: 3
Answer/Step-by-step explanation:
a. Volume of hemisphere = ½(⁴/3πr³)
r = 30 cm
Volume = ½(⁴/3 × π × 30³)
Volume = ⅔ × π × 27,000 = 56,548.6677 ≈ 56,549 cm³
b. 4,500 cm³ = 1 min
56,549 cm³ = (56,549 × 1)/4,500
= 12.5664444 ≈ 12.6 mins
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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there were 3 ponies. rodrick rode each pony 6 times. how many pony rides did sarah take?
Answer: 0
Step-by-step explanation: I am going by the words , there WERE 3 ponies. So Sarah couldn’t take any rides.
1. 5 M 20 CM of cloth is needed to stitch a shirt how much clothes will be needed to stitch 449 shirts
2. I have a pack of 100 rupees notes in series which start from number code 412 to 425 how much money do I possess
3. a tailor stitches 120 suits in one month. find out how many suits he stitches in an year
4. Radha can swim 348 m in 5 minutes what distance can she in 50 minutes
full explanation pls
#1
Length in cm
500+20=520cmShirts=449Total length
449(520)233480cm2334m 80cm#2
Total notes
425-412+1=14Total money
100(14)1400|
Total suits per month=120
per year
120(12)1440suits#4
Total 5mins
50/5=10total distance
348(103480m(-4a^3-7a^2-6a)+(-6a^3+8a-7a^2)
20 points for both questions and explanation
HelpHELP HELP HELP HELP HELP ME DO ALL OF THEM
Answer:
1. Radius: 3 Diameter: 6 Circumference: 18.85 Area: 28.27
2. R: 6 D: 12 C: 37.7 A: 113.1
3. R: 9 D: 18 C: 56.55 A: 254.47
4. R: 2.4 D: 4.8 C: 15.08 A: 18.1
5. R: 3.5 D: 7 C: 21.99 A: 38.48
6. R: 7 D: 14 C: 43.98 A: 153.94
Step-by-step explanation:
Radius is half of diameter. Diameter is double radius. Circumference is 2 times pie times radius. Area is pie times radius squared.
Answer:
Look at the images.
A bottle of water is placed in a freezer. The table shows how the approximate temperature of the bottle changes over time. What type of function best models the data in the graph?
Answer:exponential
Step-by-step explanation:
Edge 2021
Answer:
exponential graph :)
Step-by-step explanation:
Maria needs to be at the airport terminal at 11:50. It will take 3 hours to drive to the airport
from her home, and a further 45 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answer:
08:05 I think
Step-by-step explanation:
11:50 - 3 hours = 8:50
8:50 - 45 mins = 8:05
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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What is some Non examples of a logarithmic function?
Answer:
In other words, the only numbers you can plug into a log function are positive numbers. Negative numbers, and the number 0
Step-by-step explanation:
Answer: negative numbers and the number 0 are non logarithmic functions
Step-by-step explanation:
In an election between two candidates 25% of the voters did not cast their votes a candidate scored 40% of the votes polled and was defeated by 900 votes.find the total number of voters.
Answer:
2000
Step-by-step explanation:
First, we have to find how many votes there were.
Since the losing candidate had 40% of the votes, that means the winning candidate had 60% of the votes.
Let x = amount of votes for losing candidate
x/40 = 900/60
Cross multiply
60x = 36,000
Divide both sides by 60
x = 600
The losing candidate had 600 votes
Add that number to 900 and we find the total amount of votes, which is 1500.
This number is the people who voted.
Now we have to find how many did not vote.
Since 25% of people did not vote, that makes people who did vote 75%
Let y = amount of voters who did not vote
y/25 = 1500/75
75y = 37,500
Divide both sides by 75
75y/75 = 37,500/75
y = 500
This means that 500 voters did not cast a vote.
Add that number to 1500 and we get that the total amount of voters is 2000
what does 6 x 9 equal?
Answer:
54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
5/8 + 3/4 / -2/3- 5/6
Answer:
-11/12
Step-by-step explanation:
What would the phrase "three times the sum of a number and 4" look like as a
variable expression?
3x +4
O3(3x +4)
O3(x + 4)
3x -4
Describe a series of transformations Matt can perform to device if the two windows are congruent
The three transformations—rotations, reflections, and translations—can be combined to produce congruent shapes. The truth is that any pair of congruent shapes can be matched to one another by combining one or more of these three transformations.
Explain transformations.A point, line, or geometric figure has four different transformations that can be applied to alter its appearance. While the term "Image" refers to the position and final shape of the object, "Pre-Image" refers to the object's shape before transformation.
Given Information
The size and shape of the figures are preserved during stiff transformations, as we already know (reflections, translations, and rotations). Always in harmony with one another is the pre-image.
These transformational skills are all possessed by Matt:
Reflection
The reason a reflection maintains its original form Similar spots from the pre-image to the image remain apart from the line of reflection.
The transformation of rotations into congruence
Any rotating figure will twist. Although it is the same size and shape as before, the figure appears to have toppled over. A clock is a perfect example of how rotation works in real life. A clock's connecting arms turn around its axis every hour or every day. A rotation's degree determines what kind of rotation it is; typical rotations include 90, 180, and 270 degrees. Before turning around and going back to where it started, the figure does a full 360-degree turn. the direction of a rotation, whether it be clockwise or counterclockwise. The degree, amount, and other factors can be determined using this information .a revolution's speed, direction, etc.
Transformative translational congruence
When an object or shape is moved without altering its size, shape, or orientation, the movement is referred to as a translation. When doing a translation, also known as a slide, every point on an object or shape is moved uniformly and in one direction.
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5.6.8 let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e). show that this need not be true if f is continuous but not uniformly continuous.
Proof. (1): To prove {f(xn)} is a Cauchy sequence just need to prove ∀ > 0, ∃N, s.t.,∀n, m > N,
have |f(xn) − f(xm)| < . Since f is uniformly continuous on set E, thus ∀ > 0, ∃δ > 0, s.t.,
∀x, y ∈ E, if |x − y| < δ,then |f(x) − f(y)| < .as {xn} is a Cauchy sequence, then ∃N, s.t.,
∀n, m > N, |xn − xm| < δ, thus |f(xn) − f(xm)| < which proves {f(xn)} is a Cauchy sequence.
(2): for example f(x) = 1
x
, x ∈ (0, 2) which is continuous but not uniformly continuous. {
1
n
} is
a Cauchy sequence, however, {f(xn)} does not converge which proves that it is not a Cauchy
sequence.
Showing that this need not be true if f is continuous but not uniformly continuous.
Given :
let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).
( 1 )
If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,
then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,
then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.
( 2 )
Let E = {1, 1/2, 1/3, · · } and f(1/n) = 1 is n is odd, f(1/n) = −1 if
n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the
sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.
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What is the Coefficient of 10x²
\(10 \: is \: the \: coefficient \: \)
What is a boiling point.
Answer:
the temperature at which a liquid boils and turns to vapor.
Step-by-step explanation:
Boiling point is the temperature at which the liquid will boil and turn into vapor.
.
Miguel baked cupcakes and gave 1/5 of them to George, 1/4 of them to Vicki, and took the rest to his aunt. What percent of cupcakes did he give to his aunt?
Answer:
55%
Step-by-step explanation:
He gave 1/5 + 1/4 to his friends which is equal to 9/20 = 45/100 = 45%
The rest he gave to his aunt. (100-45)% = 55%
a⃗ =⟨4, −3⟩ and b⃗ =⟨−1,−2⟩.
Represent a⃗ +b⃗ by using the head to tail method.
Use the Vector tool to draw the vectors, complete the head to tail method, and draw a⃗ +b⃗ . Do not draw any unnecessary vectors.
To use the Vector tool, select the initial point and then the terminal point.
The vector addition of vector a = < 4, - 3 > and b = < - 1, - 2 > is given by,
a + b = < 3, -5 >
The graph of the vector sum is given below.
The addition of vectors suggests the addition of the corresponding components of the involving vectors.
Given the vectors are:
a = < 4, - 3 >
b = < - 1, - 2 >
So doing vector addition we get,
a + b = < 4, - 3 > + < - 1, - 2 > = < (4 + (-1)), (-3+(-2)) > = < (4 - 1), (-3 -2) > = < 3, -5>
Head to tail method is a method to draw vector addition, where the initial point of a vector involved in vector addition is started from tail point of another vector involved in vector addition.
Using vector tool we draw the vector addition of given vectors 'a' and 'b' we get,
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Answer: Look at the image below
Step-by-step explanation: I took the test.
Step 1: Select Vector
Step 2: Click on (0, 0), then click on (4, -3); (for every point your going to have to click on where you start then where you want to go.)
Step 3: Click on (4, -3), then (3, -5). Why?: ((4 - 1), (-3 - 2)) = (3, -5)
Step 4: To complete the problem and thus completing the "head to tail" method, you need to click on the origin (0,0) and finally click on (3, -5)
Your answer should now look like mine, now go get that A.
Which point is a solution to the system of equations below?
y = 2x - 2
y = x + 2
A.(1,3)
B.(4,6)
C.(6,4)
D.(6,10)
What is the median of the distribution?
1
1.5
2
2.1
Subtract (3x^2-x^3)-(-5x^3+2x^2+1)
Answer:
4x^3+x^2-1
Step-by-step explanation:
(3x^2-x^3)-(-5x^3+2x^2+1)
Distribute the minus sign
(3x^2-x^3)+5x^3-2x^2-1
Combine like terms
-x^3 +5x^3 + 3x^2 -2x^2 -1
4x^3+x^2-1
Answer:
your answer is \(4x^{3} + x^{2} -1\).
Step-by-step explanation:
Distribute the negative sign in the second half of the expression by multiplying that half by a -1. this should change the signs on all the numbers. this should leave you with the addition problem: (3x^2-x^3) + (5x^3 -2x^2 -1).combine like terms by adding. -x^3 can be combined with 5x^3, but remember to follow their signs. this will give you 4x^3. the same can be done with 3x^2 and -2x^2, following their sign rules. this results in: x^2.the negative one constant does not have any like terms, so he's by himself at the end of your new equation.be sure to arrange your terms in decreasing order according to exponent, which results in your final answer.which of the following doesnot represent pair of integers (a,b) such that a÷b=3