The ending inventory of 50 packs of felt pens at $4.00 each and 60 packs of felt pens at $3.80 each with 50 packs on hand at the end of the period in dollars is $196.50. and cost of goods sold using LIFO in dollars is $388.00.
How to find ending inventory?To solve this problem, we first need to find the total cost of the pens purchased:
For the 100 packs of felt pens at $4.00 each:
Total cost = 100 packs x $4.00/pack = $400.00
For the 60 packs of felt pens at $3.80 each:
Total cost = 60 packs x $3.80/pack = $228.00
Next, we need to find the total number of pens purchased:
Number of pens in 100 packs = 100 packs x 3 pens/pack = 300 pens
Number of pens in 60 packs = 60 packs x 3 pens/pack = 180 pens
Total number of pens purchased = 300 pens + 180 pens = 480 pens
Finally, we can find the cost per pen:
Total cost of pens = $400.00 + $228.00 = $628.00
Cost per pen = Total cost of pens / Total number of pens purchased
Cost per pen = $628.00 / 480 pens = $1.31 per pen
To find the ending inventory of 50 packs of felt pens, we need to multiply the number of pens in 50 packs by the cost per pen:
Number of pens in 50 packs = 50 packs x 3 pens/pack = 150 pens
Ending inventory = Number of pens in 50 packs x Cost per pen
Ending inventory = 150 pens x $1.31 per pen = $196.50
Therefore, the ending inventory of 50 packs of felt pens at $4.00 each and 60 packs of felt pens at $3.80 each with 50 packs on hand at the end of the period in dollars is $196.50..
(b) Total cost of goods sold = $228.00 + $160.00 = $388.00
Therefore, the cost of goods sold using LIFO in dollars is $388.00.
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66 out of the 75 employees at the water slides are temporary employees what percentage of the employees at the water slides are temporary
The percentage of the employees at the water slides are temporary is 88%
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.
To find the percentage of the employees that are temporary
66/75 x 100/1
=88%
Hence, 88% is the percentage of the employees at the water slides are temporary
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. Find the cost of lodging: Four people staying for three nights at a cabin priced at $36.00 per night for two people, plus $3.50 per additional person
What is 6 over 10 plus 13 over 100
Answer:
73/100
73 over 100
Which graph is defined by f(x) = x²-x-2|?
O A.
О в.
OC.
O D.
graph A
graph B
graph C
graph D
An open box is to be constructed by cutting out
square corners of x-inch sides from a piece of
cardboard 8 inches by 8 inches and then folding
up the sides. Express the volume of the box as a
function of x
The volume of the box is a function of x, given by:\(V(x) = 4x^3 - 32x^2 + 64x\)
What is volume ?
Volume is a physical quantity that measures the amount of three-dimensional space that a substance or object occupies. It is usually measured in cubic units, such as cubic meters, cubic centimeters, cubic feet, or cubic inches.
To construct the box, we start with a square piece of cardboard that is 8 inches by 8 inches. We will cut out squares from each corner with side length x inches. This will leave us with a rectangular piece of cardboard with dimensions 8-2x by 8-2x, and we can fold up the sides to form the open box.
The height of the box will be x inches, and the length and width of the base of the box will be 8-2x inches. Therefore, the volume of the box will be:
Volume = Length x Width x Height
Volume = (8-2x) x (8-2x) x x
\(Volume = x(64-32x+4x^2)\)
Therefore, the volume of the box is a function of x, given by: \(V(x) = 4x^3 - 32x^2 + 64x\)
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Graph the set of points. Which model is most appropriate for the set?
(-2,3), (-1,-3), (0, -5), (1, -3), (2,3)
Model B is the most appropriate for the set (-2,3), (-1,-3), (0, -5), (1, -3), (2,3).
What is Linear, Quadratic, & Exponential Models?A mathematical model that may be expressed as a series of quadratic equations or as a quadratic equation, such as Y = aX2 + bX + c. When a quadratic equation is graphed, the connection between the variables is represented by a parabola.The y-values in a linear connection differ by an equal amount. The y-values have identical ratios in an exponential relationship.First differences are constant in linear functions. Second differences in quadratic functions are always the same. A constant ratio characterises exponential functions.Based on an equation like: where Y = deterioration, T = time, and A and B = parameters to be calculated by the regression approach based on historical data, the exponential model represents the degradation failure process.Learn more about Linear, Quadratic, & Exponential Models refer to :
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The factored form of 30.8n+8.4 is a(11n+3) . What is the value of a?
After answering the presented question, we can conclude that This is equation true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3): a = 30.8/(11n+3)
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.
We are given that the factored form of 30.8n+8.4 is a(11n+3).
To find the value of a, we can expand the product a(11n+3) and equate it to the given expression 30.8n+8.4.
Expanding a(11n+3), we get:
a(11n+3) = 11an + 3a
Equating this to 30.8n+8.4, we have:
11an + 3a = 30.8n + 8.4
We can factor out an "a" from the left-hand side:
a(11n + 3) = 30.8n + 8.4
Now we can see that this is the same as the given factored form, so we can equate the two expressions:
a(11n + 3) = a(11n + 3)
This is true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3):
a = 30.8/(11n+3)
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Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. ∫ 3 0 | 8 x − 10 | d x
Please find attached
thank you
The area of Integral is 19 sq units.
What is Integral?An integral in calculus is a mathematical concept that can be used to represent an area or an expanded version of an area. The basic components of calculus are integrals and derivatives. The terms antiderivative and primal are additional terms for integral.
In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).
Given:
∫ 3 0 | 8 x − 10 | d x
Now, the graph touches the x axis
when 8x- 10 = 0
x= 10/8
x= 5/4
and, When x = 0, y = 10.
So, the limit range will be x = 0 to x = 5/4.
Now, Area of First triangle
= 10 x 5/4 x 1/2
= 25/4
and, Area of second triangle
= 14 x (3- 10/8) x 1/2
= 7 x 7/4
= 49/4
Hence, the total Area = 25/4 + 49/4 = 19 sq. units
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What is the value of X?
Answer:
20
Step-by-step explanation:
When we use Pythagorean Theorem we get x² + 21² = 29² which means x = 20.
Answer:
B: 20
Step-by-step explanation:
By the pythagorean thereom, x^2+21^2=29^2. Solving gives X^2=29^2-21^2=400, so X=20.
$33.00 for 11 pounds of meat
rate = :
unit rate = : I
The unit rate for $33.00 for 11 pounds of meat is $3 per pound of meat.
What is unit rate?The unit rate is the denominator of a ratio of two different units. For instance, kilometer/hour, meter/sec, mile/hour, salary/month, and so on. Arithmetic is the most fundamental and ancient branch of mathematics, and it is widely used in everyday life.
The denominator of a unit rate is always 1. To find the unit rate, divide the denominator by the numerator so that the denominator equals 1. If 50km is covered in 5.5 hours, the unit rate is 50km/5.5 hours = 9.09 km/hour.
In this case, the unit rate for $33.00 for 11 pounds of meat will be:
= $33 / 11
= $3
That unit is $3 per pound of meat.
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Which ordered pair is the best estimate for the solution of the system of equations?
y=3/2x+6
y=1/4x-2
(-6.5,-3.5)
(-7,-4)
(-7,-3.5)
(-6,-3)
Answer: (-6.5,-3.5) is the closest
Step-by-step explanation:
( 5 m ^ 2 + 3 mn - 3 n ^2 ) - ( m ^ 2 - n ^2 )=
Options:
A- 4m ^ 2 + 2 n ^ 2
B- 4 m ^ 2 - 4 n ^ 2
C- 4 m ^ 2 + 3 mn - 2 n ^2
D-4 m ^ 2 + 3 mn - 4 n ^2
answer quick
The simplification of the algebraic expression gives:
(5m² + 3mn - 3n²) - (m² - n²) = 4m² + 3mn - 2n²
How to simply an algebraic expression?
An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
(5m² + 3mn - 3n²) - (m² - n²) = 5m² + 3mn - 3n² - m² + n²
= 5m²- m² + 3mn - 3n²+ n²
= 4m² + 3mn - 2n²
Therefore, (5m² + 3mn - 3n²) - (m² - n²) simplifies to 4m² + 3mn - 2n²
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HELP PLEASE I will give good points
Answer:
Step-by-step explanation: a
Mariam runs 7.5 miles in one hour How much distance will she cover in 3 hours
I need help
I need help
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I need help
I need help
I need help
I need help
The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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10) 3 - 3b = 5 - 6
Show your work
Answer:
b = 4/3
Step-by-step explanation:
First, simplify:
3 - 3b = -1
Then, subtract 3 on both sides:
-3b = -4
Finally, divide -3 on both sides:
b = 4/3
Hope this helps!
Answer:
b=-3/4
Step-by-step explanation:
3-3b=6-6
1. simplify
3-3b=-1
2. isolate variable
-3b=-4
3. divide
-b=-3/4
4. make positive/divide by -1
b=-3/4
-8x-2y=6 write in slope intercept form
Answer:
y = -4x -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Slope intercept form is y=mx+b
-8x-2y=6 add 8x to both sides
-2y=8x+6 divide both sides by -2
y=-4x-3
How to solve graph 5+h>7
Answer:
h > 2
Step-by-step explanation:
It may look hard, but it is not really.
1. Solve
Here we have the equation 5+h>7.
All we have to do to find h is to subtract 5 from both sides.
5+h>7
-5 -5
When you subtract 5 from both sides, you get
5 - 5 = 0
7 - 5 = 2
All is left is 0+h>2, or h > 2.
2. Substitute
To make sure, (I do this but you can if you want to) I will substitute.
The values of h have to be greater than 2. So, Let's substitute 3.
5 + h > 7 --> 5 + 3 > 7
It's simple math.
5+3=8
8>7
Now, also to confirm, let's try a value less than 2, 1.
5 + h > 7
5 + 1 > 7
6 > 7 is not true, so it is confirmed that anything less than 2 is not true and anything greater is true.
Hence, h > 2
Hope this helps :)
-jp524
⦁ Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long as .
Answer:
u can be using it at perpendicular and place it's center on point A
hope that helps a bit-
Refer to a deck of fifty-two playing cards (jokers not allowed).
(a) How many five-card poker hands consisting of all hearts are possible?
(b) How many five-card poker hands consisting of all cards of the same suit are possible?
a) 1287 five-card poker hands consisting of all hearts possible.
(b) 5148 five-card poker hands consisting of all cards of the same suit are possible?
What are the combination formulae?\(_{n} C_{r} = \frac{n!}{(n-r)!r!} \\\\\)
consider a deck of fifty-two playing cards (jokers not allowed).
(a) To calculate five-card poker hands consisting of all hearts possible we can use the combination formulae
\(_{n} C_{r} = \frac{n!}{(n-r)!r!} \\\\_{13}C_{5} = \frac{n!}{(n-r)!r!} \\_{13}C_{5} = \frac{13! }{(13-5)!5!} \\\\_{13}C_{5} = \frac{13*12*11*10*9*8!}{8!*(5*4*3*2*1)} \\\\_{13}C_{5} = 1287\)
b) To calculate five-card poker hands consisting of all cards of the same suit possible by using combination formulae
A deck of cards contains four different suits. After selecting one of them, we must then select five cards from that deck. The total number of five-card poker hands with identical-suited cards is thus:
\(_{n} C_{r} = \frac{n!}{(n-r)!r!} \\\\4 * _{13}C_{5} =4 * \frac{n!}{(n-r)!r!} \\4 * _{13}C_{5} = 4 * \frac{13! }{(13-5)!5!} \\\\4 * _{13}C_{5} = 4 * \frac{13*12*11*10*9*8!}{8!*(5*4*3*2*1)} \\\\4 * _{13}C_{5} = 4 *1287\\\\4 * _{13}C_{5} = 5148\)
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According to the report, the US government has banned officials from making public statements about the epidemic, deliberately reducing the size of new crown tests and intervening in the development of guidelines for prevention. Butler, then deputy director of the CDC’s division of Infectious Diseases, said his agency was instructed by senior government officials to relax its guidelines when it issued them in May 2020. Butler later told a House Select Committee that the guidelines could lead to more deaths.
Answer:
Intelligence Service in the Wisconsin Division of Health, Dr. Butler completed a preventive medicine residency ...
Step-by-step explanation:
..
Segments that join oppsoite vertices in a quadrilateral are called what
Answer:
Diagonal, I'm 90% sure it is at least!!
really need help with this question don’t get it at all
Answer:
v = 40 cm
w = 126
x = 30
y = 63 cm
Step-by-step explanation:
So are given that ΔBIG is similar to ΔMOP. This means that their respective angles are the same measurements, but different side lengths. By definition of similar triangles, their respective side lengths are equal in proportion.
∠I corresponds to ∠O, so their measurements are equal. w = 126°.
∠B corresponds to ∠M, so their measurements are also equal. We don't know the angle measurement for x, but we have all the angles for two similar triangles, so we can find the measure of the third angle. The total angle measure for any triangle is 180°.
x = 180 - 24 - 126
x = 30°
Now that we have all the angle measurements, we can proportions to calculate the lengths of the unknown sides. The proportion of ΔBIG to ΔMOP can be calculated using the corresponding side length for each triangle.
Segment BG corresponds to segment MP. The proportion of BG to MP is:
48/72. Proportions are fractions, so this ratio can be simplified to 2/3 (divide by 24 on top and bottom).
Now we know that the ratio of ΔBIG to ΔMOP is 2/3.
Segment BI (aka v) = (2/3) * 60 cm
v = 40 cm
Segment PO (aka y) * (2/3) = 42 cm
y = 42 * 1.5
y = 63 cm
P = kQ
a) direct
b) inverse
c) joint variation
PLEASE HELP!! WILL MARK BRAINIEST!!
g The bursar a conducts a test of hypothesis that the mean amount of student debt a WCU undergrad will leave college with is equal to $10,000, versus the alternative that it is less than $10,000. The data leads to the rejection the null hypothesis. However, it is learned later that the mean is indeed $10,000. What type of error (if any) occurred
Answer: Type I error
Step-by-step explanation:
A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.
On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.
Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.
I can classify triangles by their angles and sides
A. Strongly agree
B. agree
C. disagree
D. Strongly disagree
A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually more candidates who complete the interview process than the number of new positions that are available. As a result, cumulative GPA is used as a tie-breaker. GPAs for the successful interviewees are Normally distributed, with a mean of 3.3 and a standard deviation of 0.4. Out of the163 people who made it through the interview process, only 121 can be hired. What cut-off GPA should the company use
Answer:
3.04
Step-by-step explanation:
Mean = 3.34
Standard deviation= 0.4
n = 163
X ~ N(3.3, 0.4)
The cut off gpa = j
P(x>j) = 121/163
P(x<=j) = 42/163 = 0.26
O.26 represents the 26th percentile
We solve further by using Microsoft Excel. We use the function NORMINV on excel to get GPA
X =. NORMINV(0.26, 3.3, 0.4)
X = 3.04 approximately
We conclude that the required gpa is 3.04
plsss help and please dont be scammer
Answer:
38 students
Step-by-step explanation:
because 19% of 205 is 38.95, but not fully 39 students, so about 38 students
Find value of x, first gets brain
Answer:
53
Step-by-step explanation:
Mr. Wilhelm got a $2 discount on
the purchase of 5 bags of peat moss.
If he paid $7.40, what was the price
for a bag of peat moss before the
discount?
Answer:
9.40
Step-by-step explanation:
7.40+2.00=9.40