There is no difference between the standard and actual expenses of direct labor because the company spent a total of $248,000 on such costs over the period.
How to calculate labor cost ?To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.
According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.
This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.
Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.
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HELP!!! please this is my last question for my paper
Answer:
\(\sqrt{2}\)
Step-by-step explanation:
We can use pytho theorem to find X because its a right triangle, so:
a^2 + b^2 = c^2
plug our numbers
1^2 + 1^2 = x^2
simplify
1+1 = x^2
2=x^2
answer = root2
If mZVUW = (4x + 6)° and mZWUT = (6x - 10)°, what
is the measure of ZWUT?
O 32°
O 38°
O 48°
O 76⁰
Based on the definition of an angle bisector, the measure of angle WUT is: B. 38°.
What is an Angle Bisector?An angle bisector is a line, ray or segment that divides an angle into two congruent angles.
Therefore:
m<VUW = m<WUT
Substitute
4x + 6 = 6x - 10
Solve for x
4x - 6x = -6 - 10
-2x = -16
x = 8
m<WUT = 6x - 10
Plug in the value of x:
m<WUT = 6(8) - 10 = 38°
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Read the details Stefan has gathered about solar eclipses. Based on the information Stefan has gathered, which essential question did he ask? When does it occur? A solar eclipse occurs as a result of the moon lining up perfectly between the Earth and the Sun, blocking the Sun from Earth. O What is it? O Where is it located? Why does it happen
HURRY WORTH 30 POINTS
Answer:
c
Step-by-step explanation:
Where is it located?
Answer:
D
Step-by-step explanation:
The cost of printing books C varies partly as the amount A charged by the printer
and partly varies inversely as the number n of books printed. When 1000 books
were printed, the amount charged was GHC5000 and the cost of printing was
GHC75010 and when 2500 books were printed, the amount charged was
GHC10000 and the cost of printing was GHC50,004.
Find an equation connecting C,A and n
The equation connecting C,A and n is C = 25A - \(\frac{49990000}{n}\)
What is variation?Variation is a mathematical term used to show how a quantity behaves when one quantity increases or decreases.
Analysis:
C = AK + M/n
where K and M are constants
when n = 1000, A = 5000, C = 75010
75010 = 5000K + M/1000-----------1
50004 = 10000k + M/200-------------2
solving simultaneously, K = 25, M = -49990000
C = 25A - 49990000/n
In conclusion, the equation connecting C,A and n is C = 25A - 49990000/n
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Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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only answer if you know! no spams :)
Answer:
0%: Impossible
25%: Unlikely
50%: Equally likely
75%: Likely
100%: Certain
Answer:
See below ~
Step-by-step explanation:
The correct percentages matched with their likelihoods are :
⇒ 0% → c. Impossible
⇒ 25% → b. Unlikely
⇒ 50% → a. Equally likely
⇒ 75% → e. Likely
⇒ 100% → d. Certain
Describe several methods you could use to determine the rational zeros of a polynomial function. Which would you choose to use first? Explain.
Answer:
The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.
Step-by-step explanation:
Answer:
The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.
Step-by-step explanation:
which of the following is a polynomial
Answer: the answer is C
Step-by-step explanation:
what is the sum of .1458862555.05x74446.555623=
Answer: the correct answer is 10,860.72923508417
Answer:
uhm there is no sum to that. Its called the product. Also .1458862555.05 isn't a number
Step-by-step explanation:
Find the surface area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Round to the nearest whole number.
[?] cm2
Find the surface area of a cylinder
whose radius is 5 cm and whose
height is 10 cm.
Answer:-Given:-\( \bullet \) Radius of a cylinder (r) is 5 cm
\( \bullet \) Height of a cylinder (h) is 10 cm
To Find:-The surface area of a cylinder
Solution:-We know the formula of surface area of a cylinder is –
\( { \boxed{\rm \red {2πr² \: + \: 2πrh}}} \)So, putting the value of r = 5 cm and h = 10 cm we get,
2πr(r + h) = 2 × \( \frac{22}{7} \) × 5(5 + 10)
= \( \frac{220}{7} \)(5 + 10)
= \( \frac{220}{7} \) × 15
= \( \frac{220 \: × \: 15}{7} \)
= \( \frac{3300}{7} \)
= 471.43 cm²
The surface area of a cylinder is 471.43 cm². [Answer]14.32 × 1.2,...........
Answer:
17.18400
Step-by-step explanation:
When rounded to the nearest whole number, it's 17.
Hope this helped :)
How many milliliters is 719.01 liters?
Answer:
719010
Step-by-step explanation:
Kate is making biscuits. She uses flour, butter, and sugar in the ratio 5:3:2 Kate has 800 g flour 550 g butter. Kate wants to make the maximum number of biscuits possible. She works out how much sugar she needs. (a) How much sugar does Kate need? You must show working.
Answer:
800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits
160 biscuits × 3 grams butter/biscuit = 480 grams butter
160 biscuits × 2 grams sugar/biscuit = 320 grams sugar
Katie needs 320 grams sugar.
Kate needs 270g of sugar to make the maximum number of biscuits possible.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;
⇒ 800g + 550g
= 1350g of the mixture.
Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.
We can do this by adding up the ratio numbers;
(5+3+2) = 10.
Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.
So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:
2/10 = x/1350
We can solve for x by cross-multiplying:
2 × 1350 = 10x
2700 = 10x
x = 270
Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.
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An industrial scale is guaranteed by the manufacturer to have a percent error of no more than 1%.
What is a possible reading on the scale if you put 500 kilograms of iron ore on it?
(Would enjoy an explanation!)
If An industrial scale is guaranteed by the manufacturer to have a percent error of no more than 1%. Its possible reading on the scale if you put 500 kilograms of iron ore on it is :495, 505.
Percent errorPercent error = 1%
Kilogram of iron ore = 500 kilograms
First step is to find the 1% of 500 kilograms
= .01 × 500 kilograms
= 5
Second step is to find the possible reading
Possible reading :
500 - 5
=495
500 + 5
= 505
Therefore we can conclude that based on the above analysis the possible reading can be between 495 and 505.
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help fast plz !!!!!!!!!
Answer:
It should be 35
Step-by-step explanation:
4
Noah has a bag of candies
that he splits between
himself and 3 friends. His
brother then gives him 8
more candies. If he now has
36 candies, how many were
in the bag to begin with?
Explanation too please
Answer:
28
Step-by-step explanation:
36 - 8 = 28
Answer:
112
Step-by-step explanation:
36-8= 28. then 28 x 4 = 112 candies total
ABCD is a rhombus. M is the point on [AD] such that [CM] bisects angle ACD. Show that angle DMC is 3 time larger than angle ACM
In a rhombus, all sides are the same length, and the opposite angles are equal. The diagonals also bisect each other at 90 degrees.
What is the specialty of angle in a rhombus?We know that,
A rhombus has two congruent acute and two congruent obtuse angles.
Here we use the terms x and y to represent the angles.
where x is the acute angle
The angles total 360 degrees.
So far, we have:
2(x+y) = 360
By dividing both sides by 2 , we get,
x + y = 180
We can assume y is 3 times larger than x,
That is y = 3x
As a result, the equation becomes,
x + 3y = 180
Calculate the total
4x = 180
As a result, the acute angle is 45 degrees.
Hence we proved that y is 3 times larger than x.
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15 POINTS!
7. Which of the following systems of inequalities describes the shaded region in the graph below?
Answer:
Step-by-step explanation:
the 2nd choice looks good Emily
y > x
y > x+2
y>x and y>x+2 is the systems of inequalities describes the shaded region in the graph below.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A relationship between two expressions or values that are not equal to each other is called 'inequality.
Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade.
If the symbol ≥ or > is used, shade above the line.
If the symbol ≤ or < is used shade below the line.
y>x and y>x+2 is the inequality describes the shaded region in the graph below as it is greater.
Hence, y>x and y>x+2 is the systems of inequalities describes the shaded region in the graph below.
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how is 0.136 written as a fraction in simpilist form. is my answer correct?
Answer:
Yes you are
Step-by-step explanation:
case as) the repeating decimal is 36
Multiply x by a power of , one that keeps the decimal part of the number the same:
Subtract from
The repeating decimals should cancel out
solve for x
Divide by both sides
Simplify
Divide by both numerator and denominator
therefore
the answer case a) is
The fraction in easyiest form is
case b) the repeating decimal is 136
Let
Multiply x by a power of, one that keeps the decimal part of the number the same:
Subtract from
The repeating decimals should cancel out
solve for x
Divide by both sides
-----> irreducible
therefore
the answer case b) is
The fraction in simplest form is
136/999
What percent of values is between the first and third quartiles?
its question 4
Answer:
answer
Step-by-step explanation:
5%
.......................
Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?
The Intel pays $7,760 to Bally Manufacturing on August 14.
The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.
The trade discount of 40% is calculated as follows:
Discount = List price × Discount rate
Discount = $13,100 × 0.40 = $5,240
So the net price of the machinery after the trade discount is:
Net price = List price - Discount
Net price = $13,100 - $5,240 = $7,860
After Intel returns $100 of machinery, the cost of the machinery is further reduced to:
Net price after return = Net price - Return
Net price after return = $7,860 - $100 = $7,760
Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.
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What sales tax, at a rate of 8.5%, must you pay on the purchase of a computer hard disk drive costing $250.75?
(Round to the nearest cent as needed)
Answer:
you must pay $21.32 in sales tax on the purchase of the computer hard disk drive.
Step-by-step explanation:
To find the sales tax you must pay on the purchase of the computer hard disk drive, we can multiply the cost of the drive by the sales tax rate expressed as a decimal. The sales tax rate is 8.5%, or 0.085.
Multiplying the cost of the drive by the sales tax rate, we get:
Sales tax = $250.75 x 0.085
Sales tax = $21.31375
Rounding this to the nearest cent, we get:
Sales tax = $21.32
Therefore, you must pay $21.32 in sales tax on the purchase of the computer hard disk drive.
(-6,7) (0,3)
I'm having treble finding the slop I need the sem
Did you use the formula
gradient =
\( \frac{y2 - y1}{x2 - x1} \)
??
I'm not shear but i think that run to -6 then 3 is the correct sorry am learning it
Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
-5x² – 2x+10 - x² + 7x +5
Answer:
-6x² + 5x + 15
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of variables.
Reorder based on descending powers:
-5x² - x² + 7x - 2x + 10 + 5
(-5x² - x²) + (7x - 2x) + (10 + 5)
(-6x²) + (5x) + (15)
-6x² + 5x + 15 is your answer.
~
Roy makes $10.15 each time he mows
his neighbor's lawn. In April he mowed
the lawn 2 times. In May he mowed the
lawn 3 times. In June he mowed the
lawn 1 time. How much money did Roy
make in all?
$[?]
Answer:
$60.90
Step-by-step explanation:
Roy makes $10.15 each time he mows his neighbor's lawn. In April he mowed he lawn 2 times. In May he mowed the lawn 3 times. In June he mowed the lawn 1 time. How much money did Roy make in all?
April: 2 times
May: 3 times
June: 1 time
2 + 3 + 1 = 6 times
6 time * 10.15 each time
= $60.90
Answer:
$60.90
Step-by-step explanation:
Add the number of times Roy mowed in total
April: 2
May: 3
June: 1
2 + 3 + 1 = 6
Multiply that amount by the $10.15 he makes each time he mows
10.15(6) = 60.9
= $60.90Does the following problem involve a permutation or combination? Explain your answer. (It is not necessary to solve the problem.)forty-three people purchase raffle tickets. Three winning tickets are selected at random. If each prize is $500, in how many different ways can the prizes be awarded
The problem on the number of different ways that the prizes can be awarded is a combination.
Why is this a combination ?A combination is an arrangement of objects in which the order is not important. The order in which the winning tickets are selected does not matter, only the final result. The formula for a combination is nCr, where n is the total number of items and r is the number of items being chosen.
A permutation is an arrangement of objects in a specific order. It is a way of selecting items from a larger set of objects and arranging them in a particular order.
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Sabas Company has 40,000 shares of $100 par, 1% preferred stock and 100,000 shares of $50 par common stock issued and outstanding. The following amounts were distributed as dividends: Year 1: $50,000 Year 2: 90,000 Year 3: 130,000 Determine the dividends per share for preferred and common stock for each year. If an answer is zero, enter '0'. Round all answers to two decimal places.
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.
Preferred Stock:
Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares
Year 1:
Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25
Year 2:
Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25
Year 3:
Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25
Common Stock:
Dividends per share of common stock = Total dividends for common stock / Number of common shares
Year 1:
Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0
Year 2:
Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0
Year 3:
Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0
The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.
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Find an equation for the graph
Answer:
y=6^x+0.612 - 4
Step-by-step explanation:
x = -4 ---> horizontal asymptote
m = 6 ---> use points (0, -1) and (1, 5)
Parent function of the graph: \(y=b^x\)
Our equation: \(y=6^x\)
Add alterations:
Reflections = N/AVertical & horizontal shifts = down 4Vertical & horizontal stretches = left approx 0.612Final equation: y=6^x+0.612 - 4
Baby Caden wants to arrange 11 blocks in a row. How many different arrangements can he make?
Explanation:
Start with 11, and count down until you reach 1. Multiply everything along the way.
11*10*9*8*7*6*5*4*3*2*1 = 39,916,800
Or a shortcut would be to say
11! = 39,916,800
The exclamation mark means factorial. It tells the calculator to follow the instructions mentioned above.
The number 39,916,800 is a little over 39.9 million, or you could say it's a bit smaller than 40 million.