Answer:
Step-by-step explanation:
1. & 2. & 3. Direct Material Quantity Variance = (Planned Quantity - ActualQuantity) * Planned Price
Planned Quantity = 18,500 pounds
Actual Quantity = 18,800 pounds
Planned Price = $2.50
Direct Material Quantity Variance = (18,500-18,800)*$2.50
= - $750
Thus, the Direct Material Quantity Variance is $750 Unfavorable(As the actual quantity used is more than planned)
Answer:
$1502300 poundslabor rate variance: $1.50 per hour (unfavorable); efficiency variance: 0.25 units/hour (favorable)Step-by-step explanation:
1. The material cost is the cost per pound multiplied by the number of pounds used.
Planned material cost: (18,500 lb)($2.50 /lb) = $46,250
Actual material cost: (18,800 lb)($2.54 /lb) = $47,752
Material cost variance: $47,752 -46,250 = $1,502 . . . (unfavorable)
__
2. The material quantity is ...
Planned: 18,500 lb
Actual: 18,800 lb
Material quantity variance: 18,800 -18,500 = 300 . . . pounds (unfavorable)
__
3. The direct labor rate is the labor cost divided by the labor hours.
Planned labor rate: $16.50 per hour
Actual labor rate: $360,000/(20,000 h) = $18.00 per hour
Labor rate variance: $18.00 -16.50 = $1.50 . . . per hour (unfavorable)
The efficiency is assumed to be measured in units per hour of labor.
Planned efficiency: (1 unit)/(0.5 h) = 2 units/h
Actual efficiency: (45,000 units)/(20,000 h) = 2.25 units/h
Efficiency variance: 2.25 -2.00 = 0.25 . . . units/h (favorable)
_____
Additional comment
Question 1 asks for the price variance, not the cost variance. The price is given in terms of dollars per pound. The variance in price per pound would be $2.54 -2.50 = $0.04 (unfavorable). We assumed the more interesting number is the cost variance, which takes into account the material quantity used.
Efficiency is usually measured in terms of useful output for a given input. For example, auto efficiency is measured in the US in terms of miles per gallon. Hence units per hour would be an appropriate efficiency measure. (Higher is better.)
In some instances, efficiency is measured in terms of the input required to obtain a given output. For example, auto efficiency is measured in metric countries in terms of liters per 100 kilometers. In that sense, the efficiency measure would be hours per unit. (Lower is better.)
Give 3 points that all lie on a line with a slope of 4. Explain your process.
Answer:
Step-by-step explanation:
The simplest line you can draw with a slope of 4 is y = 4x. Use The equation to make a table
y = 4x
x 1 3 5
y 4 12 20
So I just multiplied 4 by 3 and 5 red graph below shows the three points on the line. (1,4),(3,12),(5,20)
What about a more complex line.
y = 4x + 5
x 1 3 5
y 9 17 25
The green line show (1,9),(3,17),(5,25)
The graph shows the number of minutes you and your brother spend training your dogs for an upcoming competition. You spend___more minutes trading your dog each day than your brother.
Answer:
It is 15 but I don't know what the steps are since I took a test on this question and failed to get the right answer.
What is the value of the expression 1/7 divided by five
Answer:
1/35
Step-by-step explanation:
plz mark brainllest
Answer:
1/7 divided by 5 =
1/35
in decimal form, its:
0.0285714...
PLEASE HELP clear up my confusion! Carrie took out a $12,000 personal loan to pay off her credit cards. She will not make a payment for 2 years and there is a 5% interest rate. How much will be owed in 2 years with monthly compounding?
I know this is relatively simple but the variable that she doesn't pay for 2 years is confusing me on how to set up the problem.
Answer:
$13,259.30
Step-by-step explanation:
The account balance with compound interest is ...
A = P(1 +r/n)^(nt)
A = $12,000(1 +0.05/12)^(12·2) ≈ $13,259.30 . . . . will be owed in 2 years
__
It's a straight compound interest problem. "No payments for 2 years" means the account continues to accrue compounded interest. It's basically a future-value problem, as opposed to an amortization or annuity problem where payments are involved.
Please help me help help me please help me out please please help please help me please please
Answer:
c
Step-by-step explanation:
A society doubles its size every 31 years. If the population of a society is currently 12000 what will the population be in 124 years?
Answer: 1,488,000
Please tell me if I’m wrong.
I NEED HELP!!!!!!!!!!
Answer:
C
Step-by-step explanation:
It is C because two sides are the same so isosceles
Jane watched her brother Peter build something that looked like stairs out of blocks. He put a block, then a tower of 2 blocks next to it, then a tower of 3 blocks… If he continues the pattern, how tall will the tallest tower be if there are 200 blocks in the kit?
Answer:
1,200
Step-by-step explanation:
3x2=6 and 6x200=1,200
A public parking garge charge $6,plus an additional $2per hour show me the
graph the line
Answer:
Step-by-step explanation:
y=6+2x
where x is number of hours.
4 plums and 7 bananas
Using the graph as your guide, complete the following statement.
The discriminant of the function is _____ .
Answer:
positive
Step-by-step explanation:
the discriminant of the function is postive.
because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0
that implies the discriminant is positive.
[tex]\Delta = \sqrt{b^2-4ac}[/tex]
if [tex]\Delta > 0[/tex] we have 2 distinct real solution
if [tex]\Delta <0[/tex] we have no real solution but 2 complex solutions
if [tex]\Delta = 0[/tex] we have 2 identical real solution
Slope from graph Khan Academy. PLEASE HELP ME!! IM HAVING SO MUCH TROUBLE
Answer:
Step-by-step explanation:
you first have to find two points that pass directly through the graph in this case we have (1,4) and (4,-4)
Now we use y2-y1 divided by x2-x1
in this case -4 - 4 (y2-y1) and 4 - 1 (x2-x1)
giving you -8 and 3
so try putting -8/3 as your answer this is what i would put sorry if it is incorrect
I like to have some leftovers.
I've discovered that the
proper ratio of turkey to
people is 12 pounds of turkey
for every'8 people. If 36
people are going to be
eating, how many pounds of
turkey do I need to buy?
what is the slope intercept form
Answer:
[tex]y = \frac{4}{3} x - 4[/tex]
Hope it helped:)
Find the equation of a line
Possing through the point (1,2)
A with slope m=3
B) and also
passing through Point (3,-2)
Answers:
y=2x2−20x+51
Step-by-step explanation:
Vertex:
(5,1)
Focus:
(5,98)
Axis of Symmetry:
x=5
Directrix:
y=78
1) A(1;2) and slope=3.
slope-interception form is y=s*x+i, where s - slope, i - interception.
if to substitute the given coordinates and slope into the equation, then 2=3*1+i, ⇒ i=-1. It means, the required equation is:
y=3x-1.
2) A(1;2) and B(3;-2).
the common form is:
[tex]\frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}.[/tex]
If to substitute the given coordinates into the common form, then:
[tex]\frac{x-3}{1-3} =\frac{y+2}{2+2} ; \ => \ \frac{x-3}{-2} =\frac{y+2}{4}; \ => \ y=-2x+4.[/tex]
-1/15+-(3/5). How do you do this problem? Is it positive or negative?
Answer:
it's a negative answer Because there's one negative and one positive and if there are your two negatives that makes a positive and it's also the same with two positives
simplify the expression
10,471 ÷ 23
Answer: 10;20.478261
Step-by-step explanation: I hope that helps if you don,t undertand tell me
possible answers: 3.456 x 10^3, 3.456 x 10^4, 3.456 x 10^5, 3.456 x 10^6
Answer:
last option is correct
............................
(-5/6) + (-2 5/8) equals?
Here are three different recipes for cookies.
Recipe 1: Mix 2 cups of chocolate chips with 6 cups of cookie batter.
Recipe 2: Mix 3 cups of chocolate chips with 7 cups of cookie batter.
Recipe 3: Mix 4 cups of chocolate chips with 12 cups of cookie batter.
Which two cookie recipes will make the same cookies?
Answer:
Recipes 1 and 3 will make the same amount
Ms. Henderson's plant is 6 1/3 inches tall. It is 1 5/6 inches taller than Megan's plant.
How tall is Megan's plant?
Enter your answer as a simplified mixed number by filling in the boxes.
Answer:
4 1/2 inches
Step-by-step explanation:
Hi! I hope this helps!:
Since Ms. Henderson's plant is 6 1/3, all we need to do is subtract 1 5/6 from it! We do this because it says, "1 5/6 inches taller than Megan's plant".
For the next steps, you can change the mixed numbers into decimals or into improper fractions! 6 1/3 would be 19/3. 1 5/6 would be 11/6. You can find a common denominator for both. I would make 19/3 to 38/6.
Lastly, you need to subtract and make it into simplest form! 38/6 - 11/6 = 27/6.
You could simplify it to 9/3, 4.5, or 4 1/2 inches.
Answer:
The is 4 1/2. just like
ChocoWaffoALT said.
If I have 4 types of wood and 5 types of other materials, what is most likely.
Answer:
Well I'm not sure what your answer choices are but based on the question I can tell you this:
If you have 4 wood and 5 other materials then you have 9 total materials.
So if you have 4 wood then you have a 4/9 chance of choosing wood.
And you have a 5/9 chance of choosing another material
So based on that, you would be more likely to choose another material, that is not wood.
Tìm giá trị của Lim (đề bài trong ảnh)
First, rewrite
[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = \dfrac{(x^2-3x+7)+(8x-3)}{x^2-3x+7} = 1 + \dfrac{8x-3}{x^2-3x+7}[/tex]
Next, we have
[tex]\dfrac{x^2-3x+7}{8x-3} = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]
so we can further rewrite
[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = 1 + \dfrac1{\frac x8 - \frac{21}{64} + \frac{385}{512x-192}}[/tex]
The idea behind all this is to get the limand into a form resembling the limit definition of the constant e, which is
[tex]\displaystyle e = \lim_{x\to\infty} \left(1+\frac1x\right)^x[/tex]
The next step is to make the substitution,
[tex]y = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]
Solving for x gives two solutions,
[tex]x = \dfrac{8y+3\pm\sqrt{64y^2+36y-19}}2[/tex]
but we want to have y approaching infinity, just like in the definition for e, which is achieved only by the solution with the positive square root. (You can check for yourself that the other solution instead approaches 3/4.)
So, our limit is equivalent to
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+\sqrt{64y^2+36y-19}}2}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+8y\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}}2}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{4y\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)} \cdot \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32}[/tex]
Next, we use the fact that
[tex]\displaystyle \lim_{x\to\infty} f(x)^{g(x)} = \left( \lim_{x\to\infty}f(x)\right)^{\lim\limits_{x\to\infty}g(x)}[/tex]
Now, the "base" limit is e, while the "exponent" limit is
[tex]\displaystyle \lim_{y\to\infty} 4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right) = 4(1+\sqrt{1+0+0}) = 8[/tex]
and the remaining limit is simply
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32} = (1+0)^{\frac32} = 1[/tex]
So, we end up with
[tex]\displaystyle \lim_{x\to\infty} \left(\frac{x^2+5x+4}{x^2-3x+7}\right)^x = e^8 \cdot 1 = \boxed{e^8}[/tex]
please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression
Answer:
[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]
Step-by-step explanation:
To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:
[tex]\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}[/tex]
We can use the distributive property to simplify:
[tex]\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}[/tex]
The sum of the two is:
[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]
Austin has ridden 49 miles of a bike course. The course is 70 miles long. What percentage of the course has Austin ridden so far?
Answer:
70%
Step-by-step explanation:
49/70 = 0.7
0.7*100 = 70
How to solve f(x)-2x+1 find f(h+2)
Step-by-step explanation:
In pictures answered .
Can someone please help with this?
Answer:
I was learning that to but it is way to blurred out and I can not see the text.
You need to make a clear picture if you need answers or no one can help you because we don't know what it say's.
Step-by-step explanation:
the sum of the reversed number and the original number is 154, find the original number, if the ones digit in it is 2 less than the tens digit
==========================================================
Explanation:
For the original two digit number, we have:
x = tens digity = units digit (aka ones digit)The original number is 10x+y. For instance, if x = 5 and y = 7, then we have 10x+y = 10*5+7 = 57.
This original number 10x+y swaps its digits to 10y+x. Then we add up the two expressions:
(original)+(swapped) = (10x+y)+(10y+x) = 11x+11y = 11(x+y)
This sum is stated to be 154
11(x+y) = 154
x+y = 154/11
x+y = 14
Then we're told that "the ones digit in it (the original number) is 2 less than the tens digit". Meaning that y = x-2 is another equation we can use. We'll plug this into the previous equation we found and solve for x
x+y = 14
x+x-2 = 14 ... replace y with x-2
2x-2 = 14
2x = 14+2
2x = 16
x = 16/2
x = 8 is the tens digit of the original number
y = x-2
y = 8-2
y = 6 is the units digit of the original number
The original number is 10x+y = 10*8+6 = 86
As a check, adding 86+68 = 154 which confirms our answer.
How do you know if a table of values shows a function?
Write the product using exponents.
(-0.9)×(-0.9)×(-0.9)
Answer:
-0.9³
Step-by-step explanation:
that's the answer hope it helps
Answer:
(-0.9)×(-0.9)×(-0.9)
(-0.9)^3