Answer:
8
Step-by-step explanation:
10+6x1-8=8
ssume all information in example 1 above and the following additional information: Actual data for job 201 is give is given belowActual shirts completed for job 201………………2,000 shirtsActual direct material cost used………………...$30,000Actual direct cost incurred……………………...$20,000Actual direct labor hours used…………………. 400 hoursActual machine hours…………………………. 240 hoursInstruction: compute the applied factory overhead and determine the total cost of job 201 under each of the five bases. A) Physical output as allocation baseDirect materials cost as allocation base Direct labor cost as allocation base Direct labor hours as allocation baseMachine hours as allocation base
The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.
Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.
Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.
Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $30,000*120% = $36,000.
Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.
-Direct labor cost as allocation base:
The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.
The applied overhead cost for job 201 is $20,000*120% = $24,000.
Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Direct labor hours as allocation base:
The actual direct labor hours used in job 201 is 400 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.
Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.
-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.
The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.
-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.
The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.
The applied overhead cost for job 201 is $24*240 hours = $5,760.
Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.
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Please help this is Properties of Operations
Which of the following would you see on a circle graph?
OA. Percentages
OB. Bars
C. Points
OD. A y-axis
A, percentages
You would see percentages on a circle graph, because it's how many parts of the whole that they take up.
Happy to help, have a great day! :)
The square root of a number will always have two outcomes One is positive and the other is negative.
true or false
The square root of zero is a counterexample of the statement, so it is false.
Is the statement true or false?Here we have the following statement about square roots:
"the square root of a number will always have two outcomes One is positive and the other is negative."
This seems to be true because:
-2*-2 = 2*2 = 4
So √4 = 2 and -2
But, particularly the square root of zero is:
√0 = 0
So here we have only one outcome that is neither positive nor negative, then the statement is false.
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Mrs. Baca uses a phone card to call a relative in Colombia, It cost her 45 cents to talk for 15 minutes. Choose True or False for each statement.
A. For 45 cents, Mrs. Baca can talk for 3 minutes. True or False.
B. The call rate is 3 cents per minute. True or False.
C. The call rate can represent by the ratio 445:15. True or False.
D. Divide 75 by 15 to find the number of minutes Mrs. Baca can talk. True or False.
Answer:
A: False
B: True
C: False
D: False
Hope This Helps!!!
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 145 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31 steel bolts is selected, what is the probability that the sample mean would be less than 141.5 millimeters? Round your answer to four decimal places.
Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).
What is probability?Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.
According to question:To solve this problem, we can use the formula for the standard deviation of the sample mean:
Standard deviation of sample mean = standard deviation / √(sample size)
Plugging in the given values:
Standard deviation of sample mean = 7 / √(31)
Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:
z-score = (sample mean - population mean) / standard deviation of sample mean
Plugging in the given values:
z-score = (141.5 - 145) / (7 / √(31))
Using a calculator, we find that the z-score is approximately -2.22.
Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.
Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).
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6. Consider the polynomial p(x) = x^2 + kr^2 +x+6. Find a value of k so that x+1 is a factor of P. Find all the zeros of P.
If x + 1 is a factor of p(x) = x³ + k x² + x + 6, then by the remainder theorem, we have
p (-1) = (-1)³ + k (-1)² + (-1) + 6 = 0 → k = -4
So we have
p(x) = x³ - 4x² + x + 6
Dividing p(x) by x + 1 (using whatever method you prefer) gives
p(x) / (x + 1) = x² - 5x + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
x² - 5x + 6 = (x - 3) (x - 2)
so that, in addition to x = -1, the other two zeros of p(x) are x = 3 and x = 2
Translate the sentence into an equation.
Nine more than the product of a number and 6 is equal to 4.
Use the variable x for the unknown number.
Answer:
(6x) + 9 = 4
Step-by-step explanation:
Times means 'The answer when you multiply' So we are working in multiplication. ( x )
6x is the multiplication.
It says 'more than' which means adding to our answer. So we add 9. So far our equation is: (6x) + 9 (Brackets are needed as we are multiplying 6 by x and not multiplying 6 by x+9)
Lastly, it says the answer must be 4 so we add that at the end. So the answer is:
(6x) + 9 = 4
2/3(3z-6) please help
Answer:
2z-4
Step-by-step explanation:
By using distributive property, 2/3 * 3z = 2z and 2/3 * -6 = -4
This means the answer is 2z-4
\(Answer: \large\boxed{2z-4}\)
Step-by-step explanation:
To solve:
\(\frac{2}{3} (3z-6)\)
We must use the distributive property and distribute 2/3 to the 3z and -6
...
\(\frac{2}{3} (3z-6)\)
\(=\frac{2}{3} (3z) + \frac{2}{3} (-6)\)
\(=\frac{6z}{3} + -\frac{12}{3}\)
\(=2z-4\)
Jen had $567.12 in her checking account. She deposited $80 that she earned mowing lawns. Then, Jen deposited her paycheck of $240.63. Finally, she wrote a check for $79.50 to pay her cell phone bill. What is Jen's balance now?
We know that
• Jen had $567.12 (initial balance).
,• She deposited $80.
,• She deposited again $240.63.
,• She wrote a check for $79.50.
Each deposit represents a positive number, and the check represents a negative number because it's money spent. So, let's represent the situation as an algebraic sum
\(567.12+80+240.63-79.50\)First, we add the positive numbers
\(887.75-79.50\)Then, we subtract the numbers
\(887.75-79.50=808.25\)Therefore, Jen's balance now is $808.25.Ben thinks of a number. If he doubles ut and add 4 he gets the same answer as multiplying the number by 10 and subtracting 8
Whag was Bens number
Answer:
Ben's number was \(\frac{3}{2}\).
Step-by-step explanation:
Given that:
Ben thinks of a number.
Let,
x be that number.
According to given statement;
Double of number plus 4 is equals to number multiplied by 10 and subtracting 8.
2x + 4 = (x*10) - 8
2x + 4 = 10x - 8
4 + 8 = 10x - 2x
12 = 8x
8x = 12
Dividing both sides by 8
\(\frac{8x}{8}=\frac{12}{8}\\x=\frac{3}{2}\)
Hence,
Ben's number was \(\frac{3}{2}\).
read the question on the paper please
The dimensions for a square that has a perimeter of 14 units and area or 49 units² will be 7 units by 7 units.
How to calculate the sidesThe perimeter of a shape is simply the total length of the boundary that the shape has. It should be noted that in this case, it's gotten by adding all the length that the shape has.
The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.
In this situation, the square has a perimeter of 14 units and area or 49 units². The dimensions will be 7 units by 7 units.
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5/8 entre 6 personas
Based on the information we can infer that 5/8 between 6 people is equal to 15/24.
How to divide 5/8 between 6 people?To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.
5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder
So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:
(5/4) x 6 = 30/4 = 15/2 = 15/24
So each person would receive 15/24 of the original amount.
Note: Here is the question in English:
5/8 divided in 6 people
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95.72 rounded to the nearest whole number
Answer:
96
Step-by-step explanation:
The cost to rent a moving yan for a day is an initial cost of $29 plus $0.35 per mile driven, Find a function to model the cast of the moving van rental
based on the initial cost and miles driven
Hello!
miles driven = x
the initial cost = 29
f(x) = 29 + 0.35x
Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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Given m||n, find the value of x
Answer:
157
Step-by-step explanation:
thats it
x= 157
they are same
A small bookshelf is
8
12
yard long. How many books can fit on the shelf if the width of each book is
24
yard? Explain.
HERE IS WHAT I GOT SO FAR PKEASEEEE. HELP I AM LOST
Answer:
how long is the shelf
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
812×241=?
8
12
×
24
1
=
?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
8×2412×1=19212
8
×
24
12
×
1
=
192
12
Since 192 divided by 12 equals 16 then,
19212=16
192
12
=
16
Therefore:
812÷124=16
8
12
÷
1
24
=
16
Please answer both questions
Step 1 step 2 step 3 and step 4 nicely please and I need this by today
The volume of the figure is equal 30 cubic feet.
The new volume of the figure is equal 60 cubic feet.
If Molly sells all of the dog beds, she would earn $6.25.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
Volume of figure = 5 × 3 × 2
Volume of figure = 30 cubic feet.
When the height is doubled, we have;
Volume of figure = 5 × 3 × 2(2)
Volume of figure = 60 cubic feet.
For the cost of fabric used, we have:
Cost of fabric used = 2.5 × $4.50
Cost of fabric used = $11.25
Profit = selling price - cost
Profit = $17.50 - $11.25
Profit = $6.25.
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the sum of triple the number j and 21
The expression 3j + 21 represents the sum of triple the number "j" and 21. It accounts for multiplying "j" by 3 and then adding 21 to the product. This equation allows us to calculate the desired sum when the specific value of "j" is known.
To find the sum of triple the number "j" and 21, we need to multiply "j" by 3 and then add 21 to the result.
Let's break it down step by step:
Multiply "j" by 3: This can be represented as 3 * j, or simply 3j.
Add 21 to the result: We take the product from step 1 (3j) and add 21 to it, resulting in 3j + 21.
In summary, the expression 3j + 21 represents the sum of triple the number "j" and 21. It accounts for multiplying "j" by 3 and then adding 21 to the product. This equation allows us to calculate the desired sum when the specific value of "j" is known.
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\( \frac{ \frac{1}{ x} - \frac{1}{12} }{x - 12} \)
how do i solve when looking for the limit as x approches 12?
Answer:
\(\lim_{x \to 12} \frac{\frac{1}{x}-\frac{1}{12} }{x-12} =\frac{-1}{144}\)
Step-by-step explanation:
Step 1: Define
\(\lim_{x \to 12} \frac{\frac{1}{x}-\frac{1}{12} }{x-12}\)
Step 2: Solve
Numerator; Common denominator: \(\lim_{x \to 12} \frac{\frac{12}{12x}-\frac{x}{12x} }{x-12}\)Numerator; Combine like terms: \(\lim_{x \to 12} \frac{\frac{12-x}{12x} }{x-12}\)Rewrite entire fraction: \(\lim_{x \to 12} \frac{12-x}{12x} \div x-12\)Rewrite operation: \(\lim_{x \to 12} \frac{12-x}{12x} \cdot \frac{1}{x-12}\)Multiply: \(\lim_{x \to 12} \frac{12-x}{12x(x-12)}\)Factor numerator: \(\lim_{x \to 12} \frac{-(x - 12)}{12x(x-12)}\)Simplify: \(\lim_{x \to 12} \frac{-1}{12x}\)Evaluate limit: \(\frac{-1}{12(12)} =\frac{-1}{144}\)The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
Question 3 A 44-metres long fire-fighting ladder is leaned against a building, as shown in the diagram. The base of the ladder is 7 metres from the building and 3 metres above the ground. How high on the building will the ladder reach?
The ladder will reach a Height of approximately 43.46 meters on the building.
To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.
Using the Pythagorean theorem, we can set up the equation:
(Height of the building)^2 + 7^2 = 44^2
Simplifying the equation, we have:
(Height of the building)^2 + 49 = 1936
Subtracting 49 from both sides, we get:
(Height of the building)^2 = 1887
To find the height of the building, we take the square root of both sides:
Height of the building = √1887
Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.
Therefore, the ladder will reach a height of approximately 43.46 meters on the building.
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Evaluate the algebraic expression 2r/H when b = 3, d = 12, h = 2 and r = 7
Given:
h=2 and r=7
\(\frac{2r}{h}=\frac{2(7)}{2}\)\(\frac{2r}{h}=7\)Option B is the correct answer.
which of the following is 6.3 not a possible solution
Step-by-step explanation:
ang qt ko share ko lang bleeeh
Translate (10,8) down 5
Answer:
A (10,3)
Step-by-step explanation:
Solve 3x^2 if x is 10
By the way, the x is a variable
300 is your answer.......
In the equation y= a . b ^x, the "b" value is the common factor in the y-values.
An exponential function is one that has the generic formula y = abx, where a 0, b a positive real number, and b 1. Base b is always the same for exponential functions. In a situation where the set of real numbers is the domain, the exponent x is the independent variable.
What is Exponential Functions?An exponential function is one that has the generic formula y = abx, where a 0, b a positive real number, and b 1. Base b is always the same for exponential functions. In a situation where the set of real numbers is the domain, the exponent x is the independent variable.The exponential growth function and exponential decay are the two different kinds of exponential functions.When b exceeds 1, the function f (x) = bx denotes exponential development.When 0 b 1, the exponential decay function, f (x) = bx, is what is being represented.For instance: a.) Since b > 1 and b = 5, the expression f (x) = 5x would signify exponential development.Since 0 b 1 represents exponential decay, f (x) = 0.83x represents exponential decay. Exponential growth might be represented by (b = 0.83) c.) f (x) = 0.5(3)x since b > 1. (b = 3)Example 1: Determine the value of 4x for x = 0.5 using a calculator and the exponential key ().Evaluate while changing x to the provided value.4x = 40.5 = 2
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Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
I need help with number 3 plzzz fast
Step-by-step explanation:
the domain is the interval of the x (input) values.
in other words, is g(x) invalid for certain x ?
it does not look like it. it looks like g(x) is valid for every possible value of x from -infinite to +infinite.
the range is the interval of possible y (functional) values.
and that is clearly valid for every y between -1 and +infinity.