If 12 workers clean up a certain stretch of the Jukskei river in 4 days, how long would it have taken to clean up this stretch if only 8 workers had been available? ​

Answers

Answer 1

Answer:

6 days

Step-by-step explanation:

12 workers will clean up in 4 days

how many days would it take 8 workers?

let the number of days be x

x=(12×4)/8

x= 6 days


Related Questions

3. Ato Liku purchases a house for Br. 250, 000. He makes a 20% down payment, with a balance amortized by a 30 year mortgage at an annual interest rate of 12% compounded monthly. a) Determine the amount of the monthly mortgage payment. b) What is the total amount of interest Ato Liku will pay over the life of the mortgage? c) Determine the amount of the mortgage Ato Liku will have paid after 10 years?​

Answers

Answer:

a) To determine the monthly mortgage payment, we first need to calculate the amount of the loan, which is equal to the purchase price of the house minus the down payment. In this case, the loan amount is 250,000 * 0.8 = 200,000. Next, we need to calculate the monthly interest rate, which is equal to the annual interest rate divided by 12. In this case, the monthly interest rate is 0.12/12 = 0.01. Using the formula for the monthly mortgage payment (P = L[i(1+i)^n]/[(1+i)^n-1]), where P is the monthly payment, L is the loan amount, i is the monthly interest rate, and n is the number of payments (in this case, 30 years * 12 = 360), we can calculate the monthly payment as:

P = 200,000[0.01(1+0.01)^360]/[(1+0.01)^360-1] = 1326.91

b) To calculate the total amount of interest Ato Liku will pay over the life of the mortgage, we can subtract the original loan amount from the total amount of payments made over the life of the mortgage. In this case, that would be 360 * 1326.91 - 200,000 = 480,596.

c) To determine the amount of the mortgage Ato Liku will have paid after 10 years, we can multiply the monthly mortgage payment by the number of payments made in 10 years (10 years * 12 = 120). In this case, that would be 120 * 1326.91 = 159,223.20.

Amanda is currently in the market for a new job as a mechanical engineer. To get a sense of what the typical salary is for the position she is interested in, Amanda did some research and found a database showing salary information from mechanical engineers across the county. Amanda had access to both the average national salary and the average local salary for mechanical engineers. Which of the following is an example of a parameter in Amanda's scenario?​

Answers

In Amanda's case, an example of a parameter is the national average income for mechanical engineers.

What is the parameter in Amanda's scenerio ?

As a mechanical engineer, Amanda is now seeking employment. Additionally, she is paid in line with both the national average for Mechanical engineers as well as the average for Mechanical engineers in our community. In Amanda's instance, a parameter example is needed, thus that is what the question asks for. The population's traits are referred to as a parameter, whereas the sample's characteristics are referred to as statistics.

Due to its gifts and the information it provided that was close to the average population slurry, it constitutes a parameter here. A representative sample of mechanical engineers is Amanda's city. In Amanda's city, the slurry from a sample is the mechanical engineers' average annual pay. They have therefore taken a representative sample of all the mechanical engineers in the city from the larger population.

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A group of researchers establish a p-value of 0.05 for their hypothesis test. What does this mean?


a. The probability of getting a significant result for the test is 5%.

b. There is 5% probability that a true null hypothesis will be rejected.

C. The chi-square critical value for their dataset is 0.05

d. Only measured values of 0.05 or greater will be included in the test.

Answers

Answer:

b

Step-by-step explanation:

b. There is 5% probability that a true null hypothesis will be rejected.

A p-value of 0.05 represents the probability of obtaining a test statistic as extreme or more extreme than the one observed under the assumption that the null hypothesis is true. In other words, it is the probability of observing the data or more extreme data assuming the null hypothesis is true. It is also the threshold level of significance beyond which the null hypothesis is rejected in favor of the alternative hypothesis. A p-value of 0.05 means that there is a 5% probability that the observed results occurred by chance under the null hypothesis and that there is a 95% probability that the observed results occurred due to a real effect.

1. Fractions equal to 1/2

Answers

Answer: Answers vary…

Step-by-step explanation:

Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. Some fractions equivalent to 1/2 are: 2/4, 3/6, 4/8, 5/10, 6/12, etc. This is because equivalent fractions have the same value in reduced form.

Which is a certain event?

A) pulling a blue sock from a drawer that has 4 blue socks and 2 pink socks

B) pulling a pink sock from a drawer that has 4 blue socks and 2 pink socks

C) pulling a blue sock from a drawer that has only 5 blue socks

D) pulling a pink sock from a drawer that has only 5 blue socks

Answers

Answer:

C. Pulling a blue sock from a drawer of only blue socks

Step-by-step explanation:

If there is no other color in the drawer, only that color can be pulled certainly.

If the divisor is not a whole number, move the decimal point to the 19.)______. Move also the decimal point in the dividend to the 20.)______ having the same number of decimal places as in the divisor.9.) _____20.) _____

Answers

Put the decimal point to the right to make the divisor a full number if it isn't already. The dividend's decimal point should likewise be moved the same number of spaces to the right (adding some extra zeros if necessary.)

What is meant by decimal point?To distinguish between a full number and its fractional component, a decimal point is a point or a dot. A different name for it is Decimal Mark. The decimal point is the dot that appears in the middle of a whole number and its fractional component. Decimal numbers include, for instance, 34.5. 5 is the fractional portion in this situation, and 34 is a whole number. The decimal point is ".."The word decimal derives from the Latin decimus, which means tenth, from the base word decem, or 10. As a result, the base of the decimal system, often known as the base-10 system, is 10.

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3629
You can used the digit twice to make the smallest 4 digit number ​

Answers

The smallest four-digit number with one digit used twice is 2236.

What is Digit?

A positional numeral system uses a single symbol, the numerical digit, either individually or in combination to represent numbers. The term "digit" refers to the ten symbols of the conventional base-10 numeral system, or decimal digits, which the ten digits of the hands correspond to.

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples. Number words are a linguistic way to express numbers.

Given digit is ;

3629

Digits are   3  6  2  9

Digits in ascending order

2  3   6  9

Minimal 4 digit number

We can employ a number Twice

So, we'll use the smallest digit, 2, twice.

at positions 1000th and 100th.

The smallest four-digit number with one digit used twice is 2236.

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Which values of x make the following equation true?
3x = -x^2

A) x= -3
B) x= 0,-3
C) x= 0,3
D) x= 3

Answers

The correct option B) x= 0,-3, are the values of x make the given quadratic equation true 3x = -x^2.

Define the term roots of the quadratic equation?f(x) = ax² + bx + c, where a, b, as well as c are constants and just a = 0 represents a quadratic function.The roots of a quadratic equation are the values of the variables that fulfil the equation. In other words, if f() = 0, then x = is a root of a quadratic equation f(x). The x-coordinates of the sites in which the curve y = f(x) intersects the x-axis are the real roots of the an equation f(x) = 0.

The stated quadratic equation is-

3x = -x^2

x^2 + 3x = 0

Taking x common.

x(x + 3) = 0

x = 0, -3

Thus, the values of x that makes the equation true are  0, -3.

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12 divied by 1 1/5 help me please

Answers

Answer:

10

Step-by-step explanation:

12/5 or 2.4 if you want a decimal

A bottle of liquid laundry detergent priced at $16.99 for a 52-load bottle has been changed to $16.49 for a 48-load bottle. By what percentage has the price per load changed?

Answers

Answer:

  5.1% increase

Step-by-step explanation:

You want the percentage change in price per load when the price of detergent went from $16.99 for 52 loads to $16.49 for 48 loads.

Percentage change

The percentage change is given by the formula ...

  ((new price)/(old price) -1) × 100%

Price per load

The price per load is found by dividing the price of the bottle of detergent by the number of loads it will wash.

  old price per load = $16.99/52 ≈ $0.32673

  new price per load = $16.49/48 ≈ $0.34354

Application

Then the percentage change is ...

  (0.34354/0.32673 -1) × 100% ≈ 0.05145 × 100% ≈ 5.1%

The price per load has increased by about 5.1%.

The Salk vaccine field trials were conducted only in certain experimental areas (school districts), selected by the Public Health Service in consultation with local officials. In these areas, there were about 3 million children in grades 1, 2, or 3; and there were about 11 million children in those grades in the United States . In the experimental areas, the incidence of polio was about 25% higher than in the rest of the country. Did the Salk vaccine filed trials cause children to get polio instead of preventing it? Answer yes or no, and explain briefly.

Answers

Based on the information provided, it can be concluded that the vaccine trials most likely did not cause children to get polio as these are independent variables.

What is causality bias?

This type of bias implies people believe two events are related as a cause or effect. This often happens when one event follows another, and therefore people believe one event causes the other.

In this case, people are likely to believe the vaccine caused higher polio rates just because after the vaccine, polio rates seemed to increase. However, these two variables are independent as vaccines produce immunization against polio.

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it would be greatly appreciated if someone could help me.

Answers

Here x = 5, The two angles are ∠B = 41° and ∠C=  63°.

What is a  pentagon?

A pentagon is a 2D polygon with five sides and five angles.

Pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°.

We are given in the figure , following information about a pentagon:

3 angles are 90 degrees, one angle is (6x+1) degrees, and the other angle is (8x-11) degrees.

To solve for x, we need to add all of the angles together.

The sum of the angles in any polygon is always equal to (n-2)*180, where n is the number of sides in the polygon.

In this case, n=5, so the sum of the angles is (5-2)*180 = 540 degrees.

We can now solve for x by substituting our known values into the equation.

540 = 90 + (6x + 1) + (8x - 11)

540 = 14x

x = 540/14

x = 5

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Jan had 1/4 pound of chocolate and shared it among her eight friends. How much
did each person get?
Zach had eight candy bars and gave each friend 1/4 of a candy bar. How many
people did he share with?

Answers

2 and 1/4 chocolate and shared it among her eight friends.

24 people did he share with candy bar.

What is meant by chocolate ?

The cacao tree's seeds are extremely bitter and must be fermented in order to produce a flavorful product.The seeds are dried, washed, and roasted after fermentation. The shell is taken off to create cocoa nibs, which are then ground to create cocoa mass, a kind of pure chocolate.Chocolate liquor is the result of boiling the cocoa material to a liquid state.It is also possible to chill the liquor and separate it into the two ingredients cocoa solids and cocoa butter.Baking chocolate, often known as bitter chocolate, is made only of cocoa butter and solids in different ratios.Dutch cocoa can be made by alkalizing powdered baking cocoa, which has more fiber than cocoa butter.

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A flute has a length of 49.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other?

Answers

The fundamental frequency of the flute of length 49.0 cm and with its one end closed is 175 hertz.

Given,

           Length of flute = 49.0 cm

           Speed of sound in air = 343 m/s

The flute closed from one end and is open from the other exhibits a standing wave pattern.

We know that,

                        [tex]f =\frac{v}{4L}[/tex]

Now substituting values in the above equation:

                       [tex]f = \frac{343}{4* (0.49)}[/tex]

                       [tex]f = 175 hz[/tex]

Thus, the fundamental frequency of the flute is 175 hertz.

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The electric potential as a function of position y in a region of space is given by the equation V(y)=4y2 - 3y. Which of the following is correct for the magnitude of the electric field at position (2,6)?

Answers

The electric field is the derivative of the electric potential with respect to position. So we can find the electric field by finding the derivative of V(y) with respect to y.

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variablevariable).

dV/dy = 8y - 3

So, at position y=6, the electric field is E = dV/dy = 8*6 - 3 = 45

Therefore, the magnitude of the electric field at position (2,6) is 45 N/C.

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Consider the triangle A B C with C = 90 ∘ . Compute the following trigonometric values when a = 8 and b = 8 .
Sin A=
Cos A=
Sin B=
Cos B=

Answers

The values of the following are:

Sin A = 0.71

Cos A = 0.71

Sin B = 0.71

Cos B = 0.71

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Right triangle ABC.

∠C = 90

The other two sides are a = 8 and b = 8

This means,

The angle opposite to the side a = 8 and b = 8 are equal.

Now,

∠A = ∠C

∠C + ∠A + ∠B = 180

90 + ∠A + ∠B = 180

2∠A = 180 - 90

∠A = 90/2

∠A = 45

∠B = 45

Now,

c² = a² + b²

c² = 64 + 64

c² = 128

c = √128

c = 11.31

Thus,

Sin A = a/c = 8/11.31 = 0.71

Cos A = b/c = 8/11.31 = 0.71

Sin B = b/c = 8/11.31 = 0.71

Cos B = a/c = 8/11.31 = 0.71

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A test plane flies in a straight line with positive velocity v(t), in miles per minute, at time t minutes, where v is a differentiable function of t. Selected values of v(t) are shown in the table below. t (minutes) 0 5 10 15 20 25 30 35 40
v (t) (miles per minute) 7.0 9.2 9.5 7.0 4.5 2.4 2.4 4.3 7.3 Based on the values in the table, what is the smallest number of instances at which the acceleration of the plane could equal zero on the open interval 0

Answers

our function v(t) is differentiable in the interval 0 to 40, by mean value theorem a(t)=0 at least two value of t. it can be t=0 and t=5, which is smallest.

A test plane files in a straight line with positive velocity v(t), v is a differentiable function of t.

selected value of v(t) for 0≤ t≤ 40are shown in the table.

We have to justify that what is that smallest number of instances at which the acceleration of plane could equal to zero on the interval (0,40).

We are aware about mean value theorem.

somewhere between t=0 , t=5, v'(t) =0

because v(t) is a differentiable function.

also, t=25 and t=30

v'(t)=0 because

[tex]\frac{v(30)-v(25)}{30-25} =0[/tex],

this means a(t) =0 for at least two value of t.

So, our function is differentiable in the interval 0 to 40, by mean value theorem a(t)=0 at least two value of t. it can be t=0 and t=5.

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Hotel P offers two types of rooms for its customers: a Deluxe room and a Suite room. The price per night for the suite room for check-in on Sunday until Thursday is 70% higher than the price per night for a Deluxe room for the exact check-in period. The price per night for the Deluxe room for check-in on Friday and Saturday is 25% higher than for price per night for the Deluxe room for check-in on Sunday until Thursday. If the hotel management wants to maintain the price difference between the two types of space, and the price per night for a Suite room for check-in on Sunday until Thursday is $223, what should be the price per night for a Suite room for check-in on Friday and Saturday?

Answers

The price for the Suite room for check-in on Friday and Saturday is given as follows:

$278.75.

How to obtain the price for the room?

The price for the room is obtained applying the proportions in the context of this problem.

The price for the room on the period from Sunday until Thursday is given as follows

$223.

The price for the room on Friday and Saturday is 25% higher than from Sunday until Thursday, hence the price is given as follows:

1.25 x 223 = $278.75.

(as an increase of 25% is equivalent to a proportion of 1.25).

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based on the graph of the general solution to the differential equation dy over dx equals 2 times x plus y comma which of the following statements is true?

Answers

Based on the graph of the general solution to the differential equation dy/dx = 2x + y, the option C: The slopes are all positive in Quadrant 1, is true.

What is a differential equation?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

The given the differential equation is dy/dx=2x+y.

The graph for the function is drawn.

dy/dx=2x+y

Now slope=2x+y

Along x-axis, y=0.

So, slope=2x≠0.

Since it depends upon x hence the slope along the y-axis are not horizontal.

Along y-axis, x=0.

So, slope=y≠0.

Since  it depends upon y the slope along the x-axis are also not horizontal.

In quadrant I -

x,y≥0

So, dy/dx≥0

Hence the slopes are all positive in quadrant I.

In quadrant IV -

x≥0,y≤0

So, dy/dx is not always positive.

Therefore, the slopes are not all positive in quadrant IV.

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Based on the graph of the general solution to the differential equation dy over dx equals 2 times x plus y comma which of the following statements is true? The slopes along the y-axis are horizontal. The slopes along the x-axis are horizontal. The slopes are all positive in Quadrant 1. The slopes are all positive in Quadrant 4.

Find the average rate of change if the function f(x)=7x from x1=0 to x2 =4

Answers

The average rate of change of the function  f(x) = 7x from x1 = 0 to x2 = 4 is solved to be 7

How to solve for the rate of change

The rate of change is solved using the formula

= change in y / change in x

In the problem, the function is  f(x) = 7x from x1 = 0 to x2 = 4

hence y = f(x) =

For x = 0, y = 7 * 0 = 0

For x = 4, y = 7 * 4 = 28

rate of change

= 28 - 0 / 4 - 0

= 28 / 4

= 7

the rate of change is 7

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use substitution to solve the system of equations -1=2x-y 8x-4y=-4​

Answers

Given System of equation has multiple solution.

What are Systems of equations?

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equation:

-1 = 2x - y and  8x - 4y = -4​

From equation 1

-1 = 2x - y

y = 2x + 1

Substitute this value on equation 2

8x - 4y = -4​

8x - 4(2x + 1) = -4

-4 = -4

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Thus, Given System of equation has multiple solution.

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which choice is equivalent to the product below? √6/8 x √6/18

Answers

Answer: √6/8 x √6/18

Step-by-step explanation: The square root of A over B is the same as the squared of A, so it's important to know that before I start with this product. To go over the square.

I can do that if I combine the two square roots under the exact square root. This is only for multiplication.

I could take the square root of the term separately

Since I'm using fractions, I'll add the tops and bottoms to the equation.

The square root is eight times 18 and the squared root is six times six. It is the square to 36 over. It's eight times 18. There are 44 items.

The square to 36 is a question. I don't know what time it gives me. There were 36. 36 times six is 6. Six Over would be this. What time gives me 1 44?

Twelve times. 6/12 would be the day. It doesn't want me to reduce that, but I could.

The answer would be 6/12.

-25 POINTS-

Y=-X+[?]

Don’t need to explain. guessers will be reported

Answers

Answer:

the first one is 16=-4+12

from here you can solve

Step-by-step explanation:

Answer:

the answer is 20

Step-by-step explanation:

y= –x+z

1. 16= –4+z

16+4=z

20=z

z=20

2. 15= –5+z

15+5=z

20=z

z=20

z=20 is true

The graph of f(x) = RootIndex 3 StartRoot x EndRoot is shown with g(x). Which equation represents the graph of g(x)?

g(x) = RootIndex 3 StartRoot x minus 2 EndRoot
g(x) = RootIndex 3 StartRoot x + 2 EndRoot
g(x) = RootIndex 3 StartRoot x EndRoot + 1
g(x) = RootIndex 3 StartRoot x EndRoot–1

Answers

The graph of g(x) is represented by the equation g(x) = Root Index 3 Start Root x EndRoot-1.

What is meant by mathematical equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Take a look at the formula 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the word "equal." The standard form, the point-slope form, and the slope-intercept form are the three primary kinds of linear equations.An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is something like 4 + 6 = 10.A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. A formula declares that two things are equal. In this case, 10 + 2 equals 6 + 6. Simply put, this means that 10 + 2 is equivalent to or the same as 6 + 6. For example, the equation 10 + x = 6 + 6 may have an unknown.

Hence, the correct option is D) g(x) = RootIndex 3 Start Root x End Root–1

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Jaime está a 10 metros de un edificio y lanza su balón en línea recta ascendente y alcanza el segundo piso del edificio a 5 metros de altura). ¿Cuánto mide la trayectoria del balón (desde que lanza hasta que impacta)?

Answers

La trayectoria del balón es la distancia recorrida desde el punto de lanzamiento hasta el punto de impacto. En este caso, se lanza en línea recta ascendente, por lo que la trayectoria del balón sería la distancia vertical entre el punto de lanzamiento y el punto de impacto. Como el balón alcanza el segundo piso del edificio a 5 metros de altura, la trayectoria del balón sería de 5 metros.

Suppose a researcher compiled a data set consisting of the following variables for a sample of 200 women. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous
The number of countries ever visited Pounds of chocolate consumed in the past year Shoe size Height in inches The number of pets currently living in the household

Answers

The number of countries ever visited is a discrete variable. Discrete variables are variables that can only take specific values, rather than any value within a range. The number of countries ever visited can only be a whole number, such as 0, 1, 2, 3, and so on, and not a fraction or decimal.

Pounds of chocolate consumed in the past year is a continuous variable. Continuous variables are variables that can take any value within a range. Pounds of chocolate consumed in the past year can be any value between 0 and a maximum value, such as 0.5, 1.5, 2.7, and so on.

Shoe size is a discrete variable. Shoe size is typically measured in whole numbers, such as 5, 6, 7, 8, and so on, and not in fractions or decimals.

Height in inches is a continuous variable. Height in inches can take any value within a range, such as 60, 61, 62, and so on.

The number of pets currently living in the household is a discrete variable. The number of pets can only be a whole number, such as 0, 1, 2, 3, and so on, and not a fraction or decimal.

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Please help me with all I’ll mark you brainly

Answers

Answer:

Step-by-step explanation:

y = 1x + 2

y = 3x + 3

y = 1/2x + 2

y = -3x + 12

Suppose the natural level of output is $60 billion of real GDP and that people expect a price level of 100. On the following graph, use the purple line (diamond symbol) to plot this economy's long-run aggregate supply (RAS) curve. Then use the orange line segments (square symbol) to plot the economy's short-run aggregate supply (AS) curve at each of the following price levels: 90, 95, 100, 105, and 110

Answers

The purple line would be plotted at the level of output $60 billion, and the orange line segments would be plotted at 90, 95, 100, 105, and 110 respectively.

1. Plot the purple line at the level of output $60 billion.

2. Plot the orange line segments at 90, 95, 100, 105, and 110 respectively.

The long-run aggregate supply (RAS) curve is used to represent the natural level of output for an economy. In this case, the natural level of output is $60 billion of real GDP with a price level of 100. Therefore, the purple line should be plotted at the level of output $60 billion on the graph. The short-run aggregate supply (AS) curve is used to show how the level of output reacts to the price level. Therefore, the orange line segments should be plotted at 90, 95, 100, 105, and 110 respectively. This will show how the level of output changes when the price level is different from the natural level. This will help to illustrate how the economy may react when the price level is different than expected.

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Departmental allocation of overheadThe firm is considering a switch to departmental rates for MOH.XYZ will use machine hours (MH) to allocate Assembly Dept. costs. Of the $2,430,000 of MOH, the firm determined that $1,620,000 is related to the Assembly Dept. and $810,000 is related to the Packaging Dept.• Basic units​​6,000 MH in Assembly• Deluxe units 30,000 MH in Assembly• Total​​ 36,000 MH in Assemblya) Assembly dept. allocation rate = ​​​​Assembly dept. MOH allocated to Basic = ​Assembly dept. MOH allocated to Deluxe= ​​​XYZ will use labor dollars (DL$) to allocate Packaging Dept. costs• Basic units​ $990,000 DL$ in Packaging• Deluxe units $360,000 DL$ in Packaging• Total​​$1,350,000 DL$ in Packagingb) Packaging dept. allocation rate = ​​​​Packaging dept. MOH allocated to Basic = ​​​​Packaging dept. MOH allocated to Deluxe = ​​​c) Total cost for Basic = ​​​​Total cost for Deluxe = ​​​​d) Cost/unit for Basic = ​​​​Cost/unit for Deluxe =

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Assembly dept. allocation rate = $45 per MH; Packaging dept. allocation rate = $0.60/DL$; Total cost for Basic = $864,000; Total cost for Deluxe = $1,566,000; Cost/unit for Basic = $144/unit; Cost/unit for Deluxe  = $52/unit.

a) Assembly dept. allocation rate = $1,620,000 MOH / 36,000 MH = $45 per MH

Assembly dept. MOH allocated to Basic = 6,000 MH * $45/MH = $270,000

Assembly dept. MOH allocated to Deluxe = 30,000 MH * $45/MH = $1,350,000

b) Packaging dept. allocation rate = $810,000 MOH / $1,350,000 DL$ = $0.60/DL$

Packaging dept. MOH allocated to Basic = $990,000 DL$ * $0.60/DL$ = $594,000

Packaging dept. MOH allocated to Deluxe = $360,000 DL$ * $0.60/DL$ = $216,000

c) Total cost for Basic = $270,000 + $594,000 = $864,000

Total cost for Deluxe = $1,350,000 + $216,000 = $1,566,000

d) Cost/unit for Basic = $864,000 / 6,000 units = $144/unit

Cost/unit for Deluxe = $1,566,000 / 30,000 units = $52/unit

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Find the slope-intercept equation for a line with a slope of 3 that passes through (1, 7).

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Answer:

y=3x+4

slope is the slope obviously and insert the point into the y=3x+b

itll be 7=3(1)+b

so itll be 4=b

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