The trailer division of Baxter Bicycles makes bike trailers that attach to bicycles and can carry children or cargo. The trailers have a retail price of $200 each. Each trailer incurs $80 of variable manufacturing costs. The trailer division has capacity for 40,000 trailers per year and incurs fixed costs of $1,000,000 per year.

Assume the assembly division of Baxter Bicycles wants to buy 15,000 trailers per year from the trailer division. If the trailer division can sell all of the trailers it manufactures to outside customers, what price should be used on transfers between Baxter Bicycles’s divisions? Explain.
Assume the trailer division currently only sells 20,000 trailers to outside customers, and the assembly division wants to buy 15,000 trailers per year from the trailer division. What is the range of acceptable prices that could be used on transfers between Baxter Bicycles’s divisions? Explain.
Assume transfer prices of either $80 per trailer or $140 per trailer are being considered. Comment on the preferred transfer prices from the perspectives of the trailer division manager, the assembly

Transfer price: $200.
Range of transfer price: $80 to $200.
Selling division will prefer a higher price, and acquiring division will prefer a lower price.

In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.

So, using the variable 'y' to represent the missing number and simplifying the equation, we have:

Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:

So the missing number is 10.

Answer: x _>_ 11.875

Step-by-step explanation:

If the total spending of the family is $54,500, then the expected spending on others is $5400.00, The correct option is B.

To calculate the amount spent on "Other," we must determine the fraction of the total expenses corresponding to "Other." According to the graph, "Other" accounts for 1/10 of the total expenses.

To find the amount spent on "Other," we multiply the fraction by the total expenditure:

Amount spent on "Other" = (1/10) * $54,000

Now let's calculate it:

Amount spent on "Other" = (1/10) * $54,000 = $5,400.00

Therefore, the correct answer is B) $5,400.00.

The provided question is incomplete, I think the question is,

Suppose your family spent $54,000 on the items in the graph above the graphs shows( Clothing = 1/ 20, Housing=3/10, Education= 1/10, Other= 1/10, Food= 1/5, Transportation 1/4). How much might we expect was spent on other?

A) $2700.00

C) $4725.00

B) $5400.00

D) $4050.00

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Answer:

pls see attached

Step-by-step explanation:

Answer:

A D F E

Step-by-step explanation:

Answer:

aa cc dd ee would be the correct answers.

Step-by-step explanation:

Answer:

Maa = 80.0 N-m → Maa = 80.0 N-m * (cos 45°) → Maa = 56.6 N-m → Maa = 56.6 N-m * (cos 45°) → Maa = 28.3 N-mCopyRedo

The magnitude of the projection of the moment caused by the force about the aa axis is Maa = 80.0 N-m.

The moment about an axis is the product of the force and the perpendicular distance from the axis to the line of action of the force. The projection of the moment refers to the component of the moment along a specific axis.

In this case, the moment Maa represents the projection of the moment about the aa axis. It indicates the magnitude of the moment when measured along the aa axis.

Since the given value is Maa = 80.0 N-m, we can conclude that the magnitude of the projection of the moment caused by the force about the aa axis is 80.0 N-m. This means that the component of the moment along the aa axis is 80.0 N-m.

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Answer:

Step-by-step explanation:

If the angles of a triangle are 45°, 45° and 90°, the the sides of the triangle are x. x and x√2

x√2 = 19√2   ⇔  x = 19

Answer:

6 23/3

6+7 2/3

13 2/3

Step-by-step explanation:

Like and follow

It depends, well, 5.. but there’s another way if you want to get a fraction. 2 1/3 + 1 1/2 + 2/3 + 1/2 = 5

But, if you use pemdas and kind of switch the problem up a bit,

Conversion a mixed number 2 1/

2

to a improper fraction: 2 1/2 = 2 1/

2

= 2 · 2 + 1/

2

= 4 + 1/

2

= 5/

2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/

2

= 4/

2

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfs

Conversion a mixed number 1 1/

3

to a improper fraction: 1 1/3 = 1 1/

3

= 1 · 3 + 1/

3

= 3 + 1/

3

= 4/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 1. New numerator is 3 + 1 = 4

c) Write a previous answer (new numerator 4) over the denominator 3.

One and one third is four thirds

Subtract: 5/

2

- 4/

3

= 5 · 3/

2 · 3

- 4 · 2/

3 · 2

= 15/

6

- 8/

6

= 15 - 8/

6

= 7/

6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - five halfs minus four thirds = seven sixths.

Answer:

2,400

Step-by-step explanation:

if you buy an item at $3000 with 20% discount, you will pay 3000 - 600 = 2400 dollars.  

i hope it helps :)

Answer:

1. City A
2. Exponential Growth
3. Linear

Step-by-step explanation:

The equation for exponential growth is f(x)=a(1+r/100)^x, where a is the initial growth/starting population, r is the growth rate, and x is the time intervals.

City A
f(x)=200(1+1.05/100)^x
Simplify:
f(x)=200(1.105)^x

City B
An increase in 20 people each year is NOT exponential but linear:
f(x)=20x+200

Now we plug in x for 1 to stand for 1 year and see which city has a greater number:
City A:
f(1)=200(1.105)^1
f(1)=200 x 1.105
f(1)=221

City B:
f(1)=20(1)+200

f(1)=20+200

f(1)=220

City A will have more people.

City A is an exponential function because there's a percent increase every year, and there will be more people every year because there are more people. This is kind of how compound interest also works

City B is a linear equation because a set number of people are added every year and doesn't change based on the amount of people already in it.

1. City B will have more population after 1 year.

In this case, we have been given of both the cities A and B with each year's growth factor and we have been told to find out, which city will have more population after 1 year. So to find out the comparison, first we need to find out the individual popoulation of both the cities after 1 year of interval.

So, population of City A after 1 year will be 200 * 1.05 = 210

Similarly,  population of City B after 1 year will be 200 + 20 = 220

It is clear that City B has more population as compared to City A.

Therefore, after 1 year City B has more population.

2. equation for City A is Exponential Growth Equation.

Exponential growth is the growth which takes place when a particular quantity increases at a constant rate over a fixed time period. It is given in the form of \(P = P_{0} * (1 + r)^t\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

3. equation for City B is Linear Equation.

Linear equation is a representation of a straight line when graphed on paper. It has constant coefficients and variables raised to power 1. It is given in the form of \(P = P_{0} + rt\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

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Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m is the slope

b is the y intercept

if m = 1 and b = 3 then

y = x + 3

Answer:

$75

Step-by-step explanation:

note that 40 = 5 × 8

Given the cost of 8 then 40 will cost 5 times as much , that is

cost of 40 = 5 × $15 = $75

If 6x/(x²-3x) is subtracted from the sum of 3/(5x-15) and (x+3)/(x-3) , then the result is (12 - 5x)/(x - 3) .

The sum of the algebraic expressions 3/(5x-15) and (x+3)/(x-3)  are written as ; ⇒ 3/(5x-15) + (x+3)/(x-3) ;

taking 5 common from the denominator of the first term ,

we get ;

⇒ 3/5(x-3) + (x+3)/(x-3) ;

taking LCM as 5(x-3) and simplifying further ,

we have ;

⇒ 3/5(x-3) + (x+3)/(x-3) ;

⇒ [3 + 5(x+3)]/5(x-3)  ;

⇒ (5x + 18)/5(x-3)  .......equation(1)

Now 6x/(x²-3x) is subtracted from the equation(1)

⇒ (5x + 18)/5(x-3) - 6x/(x²-3x)  ;

⇒ (5x + 18)/5(x-3) - 6x/x(x-3)  ;

⇒ (5x + 18)/5(x-3) - 6/(x-3)  ;

taking LCM as as 5(x-3) and simplifying further ,

we have ;

⇒ (5x + 18 - 30)/5(x-3)  ;

⇒ (5x -12)/5(x-3)  ;

Therefore , the  final result is (5x -12)/5(x-3) .

The given question is incomplete , the complete question is

If 6x/(x²-3x) is subtracted from the sum of 3/(5x-15) and (x+3)/(x-3) .  What is the result ?

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The vertices of the feasible region are (140, 60) (120, 100) (60, 100) (40, 80) (60, 60).

As given, a dance team plans to make and sell caramel and cheddar popcorn for a fundraiser.

To maximize the profit, the team captain created the feasible region below based on constraints due to the resources

the team had available.

Let x represent the number of caramel popcorn bags and let y represent the number of cheddar popcorn bags.

The dance team will earn a profit of 1.00 for every caramel popcorn bag they sell and 2.50 for every cheddar

popcorn bag they sell.

Given:

The dance team will earn a profit of 1.00 for every caramel popcorn bag they sell and $2.50 for every cheddar popcorn bag they sell.

The feasible region:

From the graph, the vertices of the feasible region are (140, 60) (120, 100) (60, 100) (40, 80) (60, 60).

Therefore, the answer is (140, 60) (120, 100) (60, 100) (40, 80) (60, 60).

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Following the elimination process the solution of the given system of equations is \((2, -4)\). Hence option B is correct.

The given system of equations is:

2x + 3y = −8   ....(i)

3x + y = 2 ----(ii)

To solve this system by using the elimination method,

Multiply 3 both sides in equation (ii) we get,

9x + 3y = 6  ....(iii)

Subtract (iii) from (i) we get,

2x + 3y - (9x + 3y ) = -8 -6

-7x = -14

Dividing both  sides by -7 we get,

x = 2

Put the value of x into equation (ii),

6 + y = 2

y = -4

Hence,

The solution of the system is \((2, -4)\) which is option B.

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The complete question is:

Solve the system of equations using elimination.

2x + 3y = −8

3x - y = 2

A. (−4, 0)

B. (2, −4)

C. (5, −6)

D. (8, −8)

Answer:

(2, −4)

Step-by-step explanation:

took the test xx

Answer:

19

Step-by-step explanation:

10 add 9 equals 19

Hey there!

The answer is 19

Suppose you have 9 dolls, and your friend Bobalicious Bob gives you 10 more. How many do you have now? Well, you now have 19.

Have a great day! Hope it helps!

Answer:

Step-by-step explanation:

Answer:

4/225

Step-by-step explanation:

To get 3 marbles that all three are different colors, we need to get a red, blue, and yellow marble (not necessarily in that order)

So we get the probability of getting each with replacement (meaning they are all out of 15) and multiply them.

The probability of getting a red is:

10/15 = 2/3

The probability of getting a blue is:

3/15 = 1/5

The probability of getting a yellow is:

2/15

So to get all 3 different colors:

2/3 * 1/5 * 2/15 = 4/225

Answer:

Step-by-step explanation:

weekend 1 : 3+2= 5

weekend 2 : 5.5+3.5=9

difference: 9-5=4

increase/initial value [times] 100

4/5(100)= 80%

To find the percentage of time that cars will be unable to enter the queue, we need to use the M/M/1 queueing model with finite queue length. The M/M/1 model assumes that the arrival and service times are both exponentially distributed, which is the case in this problem. The finite queue length means that there is a limit to the number of cars that can be in the waiting line.

The parameters for this model are:

λ = 20 cars per hour = 0.333 cars per minute (arrival rate)
μ = 1 car per 2 minutes = 0.5 cars per minute (service rate)
K = 3 (maximum queue length)

The probability that the queue is full and a car cannot enter is given by the formula:

P(K) = (1 - ρ) * (ρ^(K+1)) / (1 - ρ^(K+1))

where ρ = λ / μ is the traffic intensity.

Plugging in the values for λ, μ, and K, we get:

ρ = 0.333 / 0.5 = 0.666
P(3) = (1 - 0.666) * (0.666^(3+1)) / (1 - 0.666^(3+1))
P(3) = 0.334 * 0.197 / (1 - 0.197)
P(3) = 0.0658

Therefore, the percentage of time that cars will be unable to enter the queue is 6.58%.

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Answer:

180m

Step-by-step explanation:

you multiply 40 by 4.5 and get 180m

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

Answer:

15+4.50x,    12.50+5x

Step-by-step explanation:

If the base of the solid is bounded by the curves f(x) = x2 and g(x) = x + 2 and the cross-sections perpendicular to the x-axis are rectangles of height 3 then the volume of the given solid is 9 cubic units.

The volume of the given solid can be found using the method of slicing, where we first determine the area of each cross-sectional rectangle and then integrate it over the specified region.

The base of the solid is bounded by the curves f(x) = x^2 and g(x) = x + 2. To find the region between these curves, we can set them equal to each other and solve for x:

x^2 = x + 2
x^2 - x - 2 = 0
(x - 2)(x + 1) = 0

This gives us two points of intersection: x = 2 and x = -1.

Now, let's find the length of the base of each rectangle, which is the difference between the y-values of the two curves:

Base length = g(x) - f(x) = (x + 2) - x^2

Since the height of each rectangle is given as 3, the area of each rectangle can be calculated as:

Area = Base length * Height = [(x + 2) - x^2] * 3

To find the volume of the entire solid, we integrate the area of the rectangles along the x-axis, between the intersection points -1 and 2:

Volume = ∫[3((x + 2) - x^2)] dx from -1 to 2

Evaluating this integral, we get:

Volume = 3[(x^2/2 + 2x - x^3/3)] from -1 to 2 = 9 cubic units

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Answer:

If they lie in the same plane

Answer:

D

Step-by-step explanation:

Because negative is smaller than fractions. and ABC, is all off.

Answer: I think the answer is D/ the last answer

Step-by-step explanation:

The nth term formula for the given linear sequence is: aₙ = (19 - 36n)/36.

The sequence provided starts with 17/18, 1/2, 1/18, and -7/18. To find the nth term formula, we need to identify the pattern or relationship between the terms. Looking at the sequence, we can observe that each term is decreasing by 8/18 or simplifying, 4/9.

To express this pattern in terms of n, we can calculate the difference between consecutive terms. We find that the difference is (-8/18) or (-4/9). This difference is multiplied by n in the numerator and added to the first term (17/18) to obtain the general nth term formula.

Therefore, the nth term formula for the given linear sequence is aₙ = (19 - 36n)/36.

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Answer:

∠ ABC = 40°

Step-by-step explanation:

the 3 angles lie on a straight line ABE and sum to 180° , that is

50 - x + 80 + 2x + 40 = 180

x + 170 = 180 ( subtract 170 from both sides )

x = 10

Then

∠ ABC = 50 - x = 50 - 10 = 40°

Answer:

It would be (2,5)

Step-by-step explanation:

Right 2

and flip

:)

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