The ratios were calculated using the square footage each department occupied and the overhead expenses split equally between the two departments.
Ratio Amount
Department A 1/5 $10,000
Department B 4/5 $40,000
Ratio;-
Ratios can be represented using fractions, decimals, and percentages because they are fractional numbers.
Similar to proportions, ratios display how much of one value or variable fits within another.
Total overhead = $50,000
Department Square Feet Ratio Amount of Overhead Allocated
Dept. A 20,000 A = 1 B = $10,000 ($50,000 x 1/5)
Dept. B 80,000 C = 4 D = $40,000 ($50,000 x 4/5)
Ratios = 20,000:80,000
= 1:4
Sum of Ratios = 5
As a result, Department A will suffer $10,000 while Department B will receive $40,000 based on the cost driver allocation ratios.
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The graph below is a polynomial function in the form f(x)=(x−a)(x−b). Find suitable real numbers a and b that describe the graph.
{Question 15} Please help! Need this by tonight! Thanks so much
The graph that represents the given table is graph 2
The table is given,
At x = 0
The value of y = -2
The y intercept of the line is -2
The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line
The two points are (0, -2) and (1, -3.5)
The slope of the line m = [tex](\frac{y_2-y_1}{x_2-x_1} )[/tex]
Substitute the values in the equation
The slope of the line = -3.5 - (-2) / 1 - 0
= -1.5 /1
= -1.5
The slope of the line is negative and the y intercept of the line is negative, the correct graph is graph 2
Hence, the graph that represents the given table is graph 2
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Need help with this question is in the picture below
Answer:
Option B
Step-by-step explanation:
If 3 scoops = 6 quarts
Then we divide both sides by 3 to find :
1 scoop = 2 quarts
Now we multiply both sides by 6 :
6 scoops = 12 quarts
Now we multiply the 1 scoop equation by 9 to find the last value in the table :
9 scoops = 18 quarts
These values matches only table B
Hope this helped and have a good day
If you can give brainliest and check comments above
A __________________________ can arise when the tax return and the income statement report a revenue or expense in different years.
A deferred tax liability can arise when the tax return and the income statement report a revenue or expense in different years
What is a deferred tax liability?A deferred tax liability is a balance-sheet entry that records taxes that are owed but are not due to be paid until a later date. The liability is postponed due to a timing difference between when the tax was accrued and when it is due to be paid.
On the balance sheet, deferred income tax appears as a liability. The most common cause of deferred income tax is a discrepancy between the IRS and GAAP depreciation methods. Income tax deferral can be classified as either a current or long-term liability.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!
Tim sells two types of pizza. He charges
$10 for a cheese pizza and $15 for a
pepperoni pizza. Yesterday he sold
64 pizzas in all. For every cheese pizza,
he sells 3 pepperoni pizzas. How much
money did he make selling pizzas
yesterday?
Answer:
Step-by-step explanation:
10$ for cheese pizza
15$ for peproni pizza
he sold 64 pizza in which 3 of them are of cheese
so therefore,
64-3=61
61*10 = 610
3*15 = 45
---------
$655
In a marching band maneuver, the marcher at the left spins 180° in place with arms spread, and hands the horn to the marcher at the right, who spins 180° with arms spread, and stops.
a. How far from the initial position is the horn?
The initial position is the hor from inch b.
What composition maps the horn from the initial position to the final position?
A. 136 in.
When spinning 180, you face backwards. When the initial spins, you can just think of it as moving the horn from the left hand to the right. That happens a second time. Two arms is equal to 68 in., so double of that is 136 in.
I don’t believe I can solve the 2nd question
The equipment cost to the contractor (you) is $4200 and 16 man-hours are required to install the
equipment. The cost of labor for your company is $32 per man-hour. Overhead for your company is
45 percent. How much do you need to sell this job for in order to make 15% net margin?
The amount you need to sell the job if you want to make 15% net margin, based on the costs, is $7, 857.26
How to find the amount to sell?First, find the total cost for the project:
= Equipment + cost of labor + overhead
Cost of labor and equipment:
= 4, 200 + ( 16 x 32 per man- hour)
= $ 4, 712
The total cost is then:
= 4, 712 x ( 1 + 45%)
= $6, 832.40
The amount to sell for is:
= Total cost x ( 1 + net margin)
= 6, 832.40 x ( 1 + 15%)
= $7, 857.26
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1. QR has endpoints Q(8, 4) and
R(−2, −1). Find the coordinates of
point P along QR so that the ratio
of QP to PR is 1 to 4.
The coordinates of point P along QR so that the ratio of QP to PR is 1 to 4 is P(6,3).
What is ratio?It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.
Given:
The coordinates of Q = (8,4),
The coordinates of R = (-2, -1),
The ratio of QP/PR = 1/4,
Calculate the coordinates of the P by the following formula,
P(x, y) = [(mx₂ + nx₁) / m + n , (my₂ + ny₁ ) / m + n]
Here m and n are ratio and m/n = 1/4
Substitute the values,
P(x, y) = [1 × (-2) + 4 × 8] / 1 + 4 , [1 × (-1) + 4 × 4] / 1 + 4
P(x, y) = (6,3)
Therefore, the coordinates of point P along QR so that the ratio of QP to PR is 1 to 4 is P(6,3).
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Kristine bought a car for $23,000. It's
d=-3,000.
Write the equation for this sequence
Y=21,000(1.20)*. D=anan1 d = a n a n 1 is the formula for figuring out the common difference of an arithmetic series, where d is the common difference and an a n is the nth term. A common difference in an arithmetic series is one between any term and its predecessor, and it is typically denoted by the letter "d".
A Commen difference is defined.A common difference in an arithmetic series is one between any term and its predecessor, and it is typically denoted by the letter "d". So, subtract the first term from the second term, the second term from the third term, etc. to find the common difference of an arithmetic sequence.Every two numbers in an arithmetic sequence that differ from one another constitute the common difference.Take any two consecutive terms as your first step.Step 2: Determine their difference, d = a(n) - a(n-1); a(n-1) is the phrase that comes before a(n) (n).The formula to determine an arithmetic sequence's common difference is: d = a(n) - a(n - 1), where a(n) is a term its succeeding phrase in the series is a(n - 1), and vice versa.To learn more about Commen difference refer to:
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is the
following statement true or false? If false,
provide a counterexample.
The difference between a positive mixed
number and negative mixed number is
never positive.
The difference between a positive mixed number and negative mixed number is never positive is false.
Depending on how the phrases might be ordered
If we think that the first term is the positive mixed number, the second term is the negative mixed number, and we consider that "difference" is equal to subtraction, then the outcome is positive.For illustration, (3 + 1/2) - [-(1 + 1/2)] = (3 +1/2) + (1 + 1/2) = 5 because removing a negative produces a positiveHowever, if we performed the same procedure in reverse, we would get -(1 + 1/2) - (3 + 1/2), and the outcome is - 5.I To start, arrange the numbers vertically so that the ones' and tens' place digits are aligned, which simply implies that one number should be written above the other number. Under the bottom number, draw a line.(ii) Remove the numbers from the ones location. Addition (6 – 2) equals 4.Hence the given statement, the difference between a positive mixed number and negative mixed number is never positive is false.
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Determine whether the following quadratic function has a maximum or a minimum value. Then find the maximum or minimum value and where it occur:
F(x)=-3x²+18x+3
Select the correct choice below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
The function has a maximum value of ___ at x=____.
The function has a minimum value of ____ at x=____.
The maximum value of the quadratic function F(x) = -3x² + 18x + 3 is 30 when x = 3
How to determine the maximum or minimum value?The quadratic equation is given as
F(x) = -3x² + 18x + 3
The above function is a quadratic function
As a general rule, a quadratic function has the following representation:
F(x) = ax² + bx + 3
This means that: a = -3
The value of a for a quadratic function must be less than 0 for the function to have a maximum
This means that the function has a maximum value because -3 is less than 0
Solving further, we have
F(x) = -3x² + 18x + 3
Differentiate and set to 0
-6x + 18 = 0
So, we have
x = 3
Substitute x = 3 in F(x)
F(3) = -3(3)² + 18(3) + 3
Evaluate
F(3) = 30
This represents the maximum value
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A construction worker's starting salary is $43,000. Each year she receives a $1100 raise.
A.) Let an be the construction worker's salary in the nth year. Write an explicit formula of the form an = bn + c to model this situation.
an = 41,900 + 1100n
B.) Find a10 = $ 52,900
C.) In what year will her salary be $55,100? ________________
A) The explicit formula which model this situation will be;
⇒ an = $43,000 + $1,100n
Where, ''an'' be the construction worker's salary in the nth year.
B) The value of a₁₀ = $54,000
C) After 11 years her salary will be $55,100.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A construction worker's starting salary = $43,000.
And, Each year she receives a $1100 raise.
Now,
A) Let ''an'' be the construction worker's salary in the nth year.
So, We can formulate;
⇒ an = $43,000 + $1,100n
B) Since, The construction worker's salary in the nth year is,
⇒ an = $43,000 + $1,100n
Put n = 10, we get;
⇒ a₁₀ = $43,000 + $1,100 × 10
⇒ a₁₀ = $43,000 + $11,000
⇒ a₁₀ = $54,000
C) Let after n year her salary will be $55,100.
So, We can formulate;
⇒ an = $43,000 + $1,100n
⇒ $55,100 = $43,000 + $1,100n
Solve for n as;
⇒ $55,100 - $43,000 = $1,100n
⇒ $12,100 = $1,100n
⇒ n = 12,100 / 1,100
⇒ n = 11
Thus, After 11 years her salary will be $55,100.
Therefore, A) The explicit formula which model this situation will be;
⇒ an = $43,000 + $1,100n
Where, ''an'' be the construction worker's salary in the nth year.
B) The value of a₁₀ = $54,000
C) After 11 years her salary will be $55,100.
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3 5/9 times 1 1/2 equals?
Answer:
[tex]5\frac{1}{3}[/tex]
Step-by-step explanation:
3 5/9 x 1 1/2
32/9 x 3/2
96/18
16/3
5 1/3
Hopes this helps please mark brainliest
1. A hive of bees contains 20 bees when it is first discovered. After 5 days, there are 29 bees. It is determined that the population of bees increases exponentially. How many bees are will there be after 100 days? Express your answer as an exact value and rounded to the nearest whole number.
2.Can you find the inverse of the function y=4x^2+12+9? Why or why not?
What domain restrictions are necessary to allow the function to have an inverse?
Find the inverse of the domain restricted function.
1. ≈ 33759 bees
The parent function for exponential functions is y = a(b^x), where "a" is the initial value and "b" is the growth rate. In this case, "x" is the number of days, and "y" is the number of bees after "x" days. We already know that the initial value is 20, so we can set "a = 20". Next, we know that after 5 days, there are 29 bees, which we can also plug into our equation: "x = 5" and "y = 29". Then, we end up with the equation 29=20(b^5) and solve for the growth rate, "b". To solve for "b", first divide both sides by 20, and then take the 5th root of both sides:
29 = 20(b^5)
29/20 = b^5
^5√(29/20) = ^5√(b^5)
^5√(29/20) = b
Now, we know the equation to this problem is y = 20((^5√(29/20))^x). We can plug in "x = 100" to find the number of bees after 100 days.
y = 20((^5√(29/20))^100)
y ≈ 33759 bees
2. No, you can't find the inverse of the function y=4x^2 + 12x + 9, because, for an inverse to be possible, it must pass the horizontal line test, which this function does not pass. The domain restriction necessary would have to make it so the function passes the horizontal line test, which would mean restricting half of the function from its vertex in this case. The x-value of the vertex (refer to the vertex formula) of this function is -12/8, so we can restrict the domain by only letting the domain be [-12/8, +infinity). Finding the inverse (switch "x" and "y", and solve for "y"):
x = 4y^2 + 12y + 9 x: [-12/8, +infinity)
x - 9 = 4y^2 + 12y
x - 9 = 4y^2 + 12y
(x - 9)/4 = y^2 + 3y
(x - 9)/4 + 2.25 = y^2 + 3y + 2.25
(x - 9)/4 + 2.25 = (y + 1.5)^2
√((x - 9)/4 + 2.25) = y + 1.5
√((x - 9 + 9)/4) = y + 1.5
(√(x) / 2) - 1.5 = y
(-3 + √(x))/2 = y
3a. To solve this problem, we have to find a way to use "log base5 of 3" and "log base5 of 8" to get "log base5 of 2".
First, we can exclude the logbase5 so the problem is easier to look at. We need to find a way to get "2" using "3" and/or "8" (cannot use subtraction/addition in this step, and using "3" and/or "8" is required with multiplication/division). Keep in mind the rules of logs with the same base.
8^1/3 = 2
Now, we put the logbase5 back in:
logbase5 of (8^1/3) = logbase5 of 2
From log rules, we can move the exponent "1/3" down:
1/3 * logbase5 of 8
We know that logbase5 of 8 = 1.2920
1/3 * 1.2920
approximately 0.4307
3b. As previously explained, we need to use "3" and "8" to get to "75/8" while keeping in mind the rules of logs.
First, we can simplify "logbase5 of (75/8)":
logbase5 of (75/8) = (logbase5 of 75) - (logbase5 of 8)
Now, ignore the "logbase5" and use provided values of "3" and "8" to get to 75. Note that we can use the number 5: logbasex of x= 1 [x^1 = x]
(5^2) * 3 = 75
Next, place the "logbase5" back in, and simplify
logbase5 of ((5^2) * 3) - logbase5 of 8
logbase5 of (5^2) + logbase5 of 3 - logbase5 of 8
2logbase5 of 5 + logbase5 of 3 - logbase5 of 8
2(1) + 0.6826 - 1.2920
approximately 1.3906
Papina and her little sister Camila found 45 seashells. Papina found 4 times as many seashells as Camila. How many more seashells did Papina find than Camila?
Answer:
Papina found 27 more shells than Camila.
Step-by-step explanation:
Let x = the number of seashells that Camila found.
That means that
4x = the number of seashells that Papina found.
Papina's shells + Camila's shells = 45
4x + x = 45
Combine like terms.
5x = 45
Divide by 5.
x = 9
Camila found x shells. That is 9 shells.
Papina found 4x shells.
4x
= 4(9)
= 36
Papina found 36 shells.
36 - 9
= 27
Papina found 27 more shells than Camila.
A number line going from 0 to 1. There are 5 equal spaces between 0 and 1. What is the distance between each tick mark on this number line? One-sixth One-fifth 5 6
The distance between each tick mark on this number line= 1/5 units
What is unit rate?
A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.
5 equal spaces between 0 and 1 shows,
5 equal spaces= 1 unit
1 equal space = x units
Do the cross multiplication.
5*x=1*1
5x=1
x=1/5
So, the distance between each tick mark on this number line= 1/5 units
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Answer:
1/5 is the answer
How to solve this problem?
The answer of the problem by the SAS similarity theorem sides is [tex]\frac{AC}{GI} = \frac{HI}{BC}[/tex].
What is the SAS similarity theorem of triangle?
According to the SAS similarity theorem, two triangles are considered similar if their included angles are congruent and their two sides are proportionate to one other.
It is also known as Side-Angle-Side similarity of two triangles.
There is a common ratio of sides in the given problem figure, which is,
[tex]\frac{AC}{GI} = \frac{HI}{BC}[/tex]
Additionally, these similar sides produce equal relative angles,
∠[tex]ACB =[/tex] ∠[tex]GIH[/tex]
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Sara's mother bought 8 large oranges for $12.00. Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange. Sara's friend Daniel said he thought the ratio would be 8:12, so the unit rate would be 8/12 of an orange per dollar.
Explain how both Sara and Daniel might have found their unit rates and how both could be correct.
Sara calculated the unit rate as dollars per orange whereas Sara's friend Daniel calculated unit rate as oranges per dollar.
What is unit rate?
One of a given object constitutes a unit. The cost of only one of an item is its unit rate. With one as the denominator, this is written as a ratio. For instance, you would move 7 yards on average every second if you covered 70 yards in 10 seconds.
Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange, it means she is calculating the unit rate as dollar per oranges.
Whereas, his friend Daniel, he thought the ratio would be 8:12, so the unit rate would be 8/12 oranges per dollar.
In this way both the unit rates are correct.
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z/m - z/n=1 , m not equal to n
Answer:Zn≅Zm implies (Z/2)n≅Zn/2Zn≅Zm/2Zm≅(Z/2)m.
Step-by-step explanation:
Brianna found an orange caterpillar and a green caterpillar in her backyard. The green caterpillar was 4 inches long and the orange caterpillar was 1 1/12 inches long. How much longer was the green caterpillar than the orange caterpillar?
Simplify your answer and write it as a fraction or as a whole or mixed number.
The length longer of the green caterpillar than the orange caterpillar is 2 1/2 inches.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the green caterpillar was 4 inches long and the orange caterpillar was 1 1/12 inches long.
The difference in length will be:
= 4 - 1 1/2
= 2 1/2 inches.
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What are the coordinates of the point on the directed line segment from
(
−
10
,
2
)
(−10,2) to
(
−
3
,
−
5
)
(−3,−5) that partitions the segment into a ratio of 4 to 3?
The coordinate of the point on the directed line segment from (- 10, 2) to (-3,-5) will be;
⇒ (x , y) = (- 6, - 2)
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The two points are;
(- 10, 2) and (- 3, 5)
And, The partitions the segment into a ratio of 4 to 3.
Now,
Since, We know that;
The The coordinate of the point on the directed line segment from
(x₁, y₁) to (x₂, y₂) that partitions the segment into a ratio of m₁ to m₂ will be;
⇒ x = (m₁ x₂ + m₂ x₁) / (m₁ + m₂)
⇒ y = (m₁ y₂ + m₂ y₁) / (m₁ + m₂)
Hence, The coordinate of the point on the directed line segment from
(- 10, 2) to (-3,-5) will be;
x = (4×-3 + 3×-10) / (4 + 3)
x = (-12 - 30) / 7
x = - 42/7
x = - 6
And,
y = (4×-5 + 3×2) / (4 + 3)
y = (-20 + 6) / 7
y = - 14/7
y = - 2
Thus, The coordinate of the point on the directed line segment from
(- 10, 2) to (-3,-5) will be;
⇒ (x , y) = (- 6, - 2)
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How do you find the standard error of two samples?
In order to find the standard error of two samples, the following are needed:
1: Find the mean. .
2: Find each score's deviation from the mean. ...
3: Square each deviation from the mean.
4: Find the sum of squares.
5: Find the variance.
6: Find the square root of the variance.
What is a standard error?The standard error is a statistical term that refers to the degree to which a sample distribution accurately represents a population using standard deviation.
A statistic's standard error is the standard deviation of its sampling distribution or an estimate of that standard deviation. The standard error of the mean is used when the statistic is the sample mean.
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To determine the standard error of two samples the following procedure are followed
First, determine the mean.
second: Calculate the variation between each score and the mean
third: Square each variation from the mean
4th: Determine the sum of the variance
5th: Determine the variance by dividing the sum in 3 by 1 less the number of sample
6th: Calculate the standard deviation by variance's square root
7th: find the square toot of the number of samples
lastly: divide the standard deviation by result of step 7
What is standard error?
The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error.
It reveals how much the sample mean would change if you conducted the same study again with fresh samples drawn from a single population.
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IXL Please Help Fast !
Answer:
y = 8/9 x - 4
Step-by-step explanation:
y-4 = 8/9(x-9)
y-4 = 8/9 x -8
y = 8/9 x +4 -8
y = 8/9 x -4
Answer:
y=8/9x-4
Step-by-step explanation:
4=8/9(9)+2
4=72/9+2
4=8+2
4=10
10-4=6
2-6=-4
4=8/9(9)-4
4=8-4
4=4
Hopes this helps please mark brainliest
Please help me answer need to turn it in asap
Answer:
pretty sure it is c
Step-by-step explanation:
Match up the sides for example 4 and 24 are on the same side
so 36 gets matched up with x
If you need a better explanation, comment on my answer lol
Hope it helps Have a good day : )
Which values complete the table for the function ƒ(x) = 3x – 1?
HELP
Answer:
5 and 11
Step-by-step explanation:
x =2
fx=3x-1
3(2)-1
6-1
= 5
when x= 4
fx=3x-1
3(4)-1
12-1
11
f(x) =5 and 11
Answer:
5 and 11
Step-by-step explanation:
Input the values of x in the function and solve using basic mathematical operations.
[tex]f(2)=3(2)-1=6-1=5\\\\\\f(4)=3(4)-1=12-1=11[/tex]
What change of state occurs when fog forms? O Water vapor cools and changes to liquid water. O Liquid water cools and changes to water vapor. Water vapor warms and changes to liquid water. O Liquid water warms and changes to water vapor.
Answer:
O Liquid water warms and changes to water vapor.
Step-by-step explanation:
The string on Kite C is 28 3/4ft and a depth of -6 2/3ft. The string on Kite C has tripled. How high can kite C fly now? I don't understand how to do this problem.
The height that the Kite C can fly after the string on Kite C is tripled is 59.917 feet.
Given,
The length of the string on Kite C = 28 3/4 feet = 21.75 feet
The depth of the Kite C = -6 2/3 feet = -5.333 feet
The string on Kite C is tripled = 21.75 × 3 = 65.25 feet
We have to find the height of the Kite C can fly;
Here,
The first height that the Kite C can fly;
Length + depth = 21.75 + (- 5.333) = 16.417 feet
Now,
The height that the Kite C can fly after the string on Kite C is tripled;
Tripled length + depth = 65.25 + (-5.333) = 59.917 feet.
That is,
The height that the Kite C can fly after the string on Kite C is tripled is 59.917 feet.
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please help me with this.
Answer:
The first one
Step-by-step explanation:
rearrange the formula to make x the subject in y=1/2x+5
The rearranged formula with the x as subject is x = 2y - 10
Formula
Formula refers a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal sign.
Given,
Here we have the formula y = 1/2x + 5
Now, we have to rearrange the given formula in order to make x as the subject.
Here we we need to find the formula, as x the subject,
So, the given formula,
y = 1/2 x+ 5
We have to move the number 5 to the left hand side, then the sign of the number changes into negative,
So, it can be written as,
=> y - 5 = 1/2x
Here we need the value of x alone, so move the number that is in division to the LHS, then it will be changed as multiplication, then we get,
=> 2 (y - 5) =x
When we expand it, then we get,
=> 2y - 10 = x
Therefore, the formula that has x as subject is 2y - 10.
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