A limousine service determines that its per-mile cost is $.36 and that it incurs $48 in miscellaneous expenses for each reservation.The service charges $3.56 per mile. What number of miles represents the break-even point?

Answers

Answer 1

2)

the limousine charges 3.56 per mile driven, so, their income from the sales, or revenue is say... if they drive "m" miles, then is 3.56*m or 3.56m.

now, their costs, how much does it cost to have the limousine up and rolling and a chaffeur and other, well, it boils down to $48 for each reservation, and it costs 36 cents or $0.36 per mile driven, so, if they drive for "m" miles, then the cost for that will be 0.36*m or 0.36m. So the total cost is 48 + 0.36m

when is the break-even point?

the break-even point is when... well, you break-even, when the income or sales is the same as the costs, so, you're not really losing any money, you're getting as much as you're spending, but you're not making any surplus or profit either. That happens when the Revenue = Costs.

[tex]\bf \stackrel{revenue}{3.56m}=\stackrel{costs}{48+0.36m}\implies 3.56m-0.36m=48\implies 3.2m=48 \\\\\\ m=\cfrac{48}{3.2}\implies m=\stackrel{miles}{15}[/tex]

3)

the costs for the grower for planting and caring for a tree is 18.53, so if he plants say "t" trees, then the costs will be 18.53*t or 18.53t.

there's a fixed costs, overhead, for managing the farm, workers, cashiers, forklifts and so on, of $600.

so the total costs is then, 18.53t + 600.

now, he plans to charge for each tree 65 bucks, so if sells "t" trees, the Revenue is 65*t or 65t.

again, what's the break-even point? well Revenue = Costs

[tex]\bf \stackrel{revenue}{65t}=\stackrel{costs}{18.53t+600}\implies 65t-18.53t=600\implies 46.47t=600 \\\\\\ t=\cfrac{600}{46.47}\implies t\approx \stackrel{trees}{12.91}[/tex]

so, the break-even point is at 12.91 trees, or 12 trees and 0.91 of another, I guess you'll just have to chop off a few branches to make it 0.91, but anyhow, if we go up to say 13 trees, the break-even point is passed and he's on the black ink, he's making profit.

so, he'll start making profit after the 12th tree sold.

4)

is the same thing more or less.

costs is $7000 in overhead, plus 24.5 for one scooter, if he makes "s" scooters, then the costs are 24.5s, so total costs is 7000 + 24.5s.

revenue is the price times quantity, if the quantity is "s" and the price is 36.75, then the revenue is 36.75s.

when he doesn't lose money? well, is the same break-even point, not making profit, but not losing money either.

[tex]\bf \stackrel{revenue}{36.75s}=\stackrel{costs}{7000+24.5s}\implies 36.75s-24.5s=7000 \\\\\\ 12.25s=7000\implies s=\cfrac{7000}{12.25}\implies s\approx \stackrel{scooters}{571.43}[/tex]

so, the break-even point is at 571.43 scooters, so using whole numbers wil just be 571 scooters then, well, you can't have 0.43 unless you're going to saw off the scooter, in which case you won't sell it anyway.

Related Questions

If 1 cm = 0.394 inches, how many inches are in 1 kilometer?

Answers

Since 1 km is 100,000 cm there are 39,400 inches in a kilometer

Answer: There are 39400 inches in 1 kilometers.

Step-by-step explanation:

Since we have given that

1 cm = 0.394 inches

As we know that

1 m = 100 cm

1 km = 1000 m

1000 m = 100×1000=100000 cm

1 km = 100000 cm

So, it becomes,

[tex]1\ km=0.394\times 100000\\\\1\ km=39400\ inches[/tex]

Hence, there are 39400 inches in 1 kilometers.

Finding the average values of the representative coordinates of the two endpoints of a line segment in a coordinate plane is also known as using the _______________ formula.

Answers

That would be known as the midpoint formula
m = (x1 + x2)/2 , (y1 + y2)/2

Toni can carry up to 23 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (
b. weigh 4 lb each. How many books can she carry in her backpack? The inequality is . Toni can carry up to books in her backpack.

Answers

1 + 2 + 4b < = 23
3 + 4b < = 23
4b < = 23 - 3
4b < = 20
b < = 20/4
b < = 5....so she can carry, at the most, 5 books <===

You randomly select one card from a 52-card deck. find the probability of selecting a blackblack twotwo or a blackblack eighteight

Answers

Since there are 26 black cards (1/2 of 52) and 2 black twos (one for each suite, and there are 2 black/red suites), we can use the same logic to get that there are 2 black eights. 2+2=4, and since there are 52 cards, you have a 4/52 or 1/13 (we get this because 4 goes into 52 13 times) chance of getting a black 8 or 2.

Write the solution to the given inequality in interval notation

Answers

0<x<=6

X is greater than 0 but less that or equal to 6.

(0,6]

The answer is (0, 6].

This means 0 is not included but 6 is included in the shaded region.

Which of the following describes the graph of {x | 1 < x < 2}? open circles on 1 and 2 open circles on 1 and 2, arrows pointing out open circles on 1 and 2, line segment between no solution

Answers

{x| 1 < x < 2 }

there will be open circle because there is no equal sign in the problem....there will be a line segment in between...because basically, u would put an open circle on 1, and open circle on 2 and shading in between

Answer:

open circles on 1 and 2

The difference of the squares of two positive consecutive even integers is 20 . find the integers. use the fact that, if x represents an even integer, then xplus 2 represents the next consecutive even integer.

Answers

If x is the first number, x+2 is the next consecutive even integer. The difference (subtraction) of their squares equals 20. Therefore:
(x+2)²-x²=20...expand this:
x²+4x+4-x²=20
x²+4x+4-x²=20
4x+4=20
4x=16
x=4. Therefore the next consecutive even integer is x+2=6.
To check: 6²-4² must equal 20
36-16=20 check!

The positive even numbers are 4 and 6.

Equation

State of quality between two expressions consisting of variable and/or number.

Given

The difference of the squares of two positive consecutive even integers is 20.

To find

The number will be

How do find the numbers?

The difference of the squares of two positive consecutive even integers is 20.

Let x be the even number and positive consecutive even is (x+2)

Then according to the condition

[tex]\begin{aligned} (x+2)^{2} -x^{2} &=20\\x^{2} +4x+4-x^{2} &= 20\\4x &= 20-4\\4x &= 16\\x &= \dfrac{16}{4}\\x &= 4\end{aligned}[/tex]

Then the positive even numbers are 4 and 6.

More about the equation link is given below.

https://brainly.com/question/2263981

Janet Fog's uncle, Pete Moore, promised her a gift of $30,000 upon her graduation from law school or $1500 every quarter for the next four years. if the money could be invested at 12% compounded quarterly, which offer should Janet choose?

Answers

First calculate the future value of the annuity
The formula to find the future value of an annuity ordinary is
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT quarterly payment 1500
R interest rate 0.12
K compounded quarterly 4
N time 4 years
Fv=1,500×(((1+0.12÷4)^(4×4)
−1)÷(0.12÷4))
=30,235.32

Now compare the amount of the annuity with amount of the gift
30,235.32−30,000=235.32
So as you can see the amount of the annuity is better than the amount of the gift by 235.32

Second offer is better

Hope it helps!

How much is 8% of 1249? round the answer to the nearest hundredth

Answers

First of all you make the multiplier:
8/100 = 0.08

Then you multiply the number by the multiplier:
1249*0.08 = 99.92

Hope this helps! :)

It is 99.92. I'm sure that thats the answer.

Three member of a tug-of-war team weigh 163 pounds, 148 pounds. and 143 pounds. what must the fourth member weight if the average weight is 150 pounds?

Answers

The answer is x=146 :):):):)

A regular hexagon rotates counterclockwise around its center. It turns through angles greater than 0° and less or equal to 360°. At how many different angles of a hexagon map onto itself?

Answers

there are 6 sides to a hexagon

360/6 = 60 degrees

so it will map onto itself at 60, 120, 180, 240, 300 & 360

there are 6 different angles

Solve each equation. Then check your solution. 3-a/7=-2

Answers

3-a/7=-2 (problem)
3-a=-14 ( multiply by 7 on both sides)
-a=-14 (subtract 3 from both sides)
a=14 (divide both sides by negative 1)
Answer: a=14

N is between M and P. if MP=12 and NP=8, then what is the length of MN?

Answers

The length of MN is 4. Subtract MP by NP.
12-8=4

Solve for x. x/3≤−6

Answers

x ≤ -18. I hope this helps love! :)

Answer:

Hence, the value of x is [tex]x\leq -18[/tex]

Step-by-step explanation:

Consider the provided inequity.

[tex]\frac{x}{3}\leq -6[/tex]

We need to solve the above inequity of x.

Multiply both the side by 3.

[tex]3\times\frac{x}{3}\leq 3\times -6[/tex]

[tex]x\leq -18[/tex]

Hence, the value of x is [tex]x\leq -18[/tex]

Alexandra is two years older than brad. cecilia is three years younger than alexandra. all three ages added together gives a total of 37 years. how old is each student?

Answers

Let us say that:

x = age of brad

x + 2 = age of Alexandra

(x + 2) – 3 = age of Cecilia = x – 1

We are also given that:

x + x + 2 + x – 1 = 37

solving for x:

3x + 1 = 37

3x = 36

x = 12 = age of brad

x + 2 = 14 = age of Alexandra

x – 1 = 11 = age of cecilia

Is the relation a function? (3, 6) (10, 13) (11, 1) (13, 6)

Answers

Answer: yes this is a function

-------------------------------------------------------

The reason why is because we don't have any repeated x values. Each input (x) leads to exactly one output (y). If you plotted all the points, then you would not be able to pass a single vertical line through more than one point. So this graph passes the vertical line test.

Yes, Given relation is a function.

Here,

Points are given as,

(3, 6) (10, 13) (11, 1) (13, 6)

What is a function?

A function is defined as a relation between a set of inputs having one output each.

Now,

The given relation is a function because we don't have any repeated x values. Each input (x) leads to exactly one output (y). if we plotted all the points, then we would not be able to pass a single vertical line through more than one point. Hence, this graph complies vertical line test.

So, Given relation is a function.

Learn more about the function visit:

https://brainly.in/question/48224689

#SPJ2

A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches? Round to the correct significant digits. DO I ADD UNITS?????

Answers

Both numbers (9.00 and 4.25) have three sig-figs. This means that the final answer will have three sig-figs as well.

Multiply the numbers to get: 9.00*4.25 = 38.25 which rounds to 38.3 because the answer must have three sig-figs.

The units will be "square inches" or "inches^2" or "in^2". There are various ways to write the units portion.

Overall, the final answer is 38.3 square inches.

Erin is 8 years younger than twice Paula’s age. The sum of their ages is 40. How old is Erin

Answers

You do the sum(40) subtracted by 8, the answer from that divided by 2 since Erin's two times younger.
40-8=32
32÷2=16
Then if you want to check it you do the opposite and get the same sum(40) so 16×2=32 and 32+8=40

Final answer:

To solve this problem, we set up two linear equations based on the given information and solved them simultaneously. We found that Erin's age is 24 years.

Explanation:

This problem is a classic example of a linear equation. We can set up two equations based on the information given:

Erin is 8 years younger than twice Paula’s age. This can be written as E = 2P - 8.The sum of their ages is 40. This can be written as E + P = 40.

Upon substituting the value of E (Erin's age) from the first equation into the second, we get: 2P - 8 + P = 40. Simplifying this gives P = 16. Substituting P = 16 into the first equation, we find E = 24. Therefore, Erin is 24 years old.

Learn more about Linear Equations here:

https://brainly.com/question/32634451

#SPJ12

Harry's school is selling t-shirts to raise money for the archery team. The school will receive 35% of the total sales which can be modeled by the equation y = 0.35x, where x represents the total number of sales. What is the meaning of the x-intercept in the equation?

Answers

Answer: The x-intercept represents the number of sales when no money has been raised.

Answer:

X-intercept states that the graph crosses the x-axis.

Substitute y = 0 and solve for x.

As per the statement:

Harry's school is selling t-shirts to raise money for the archery team.

The school will receive 35% of the total sales which can be modeled by the equation:

y = 0.35x

where, x represents the total number of sales and y represents the total cost of sale.

By definition of x-intercept:

0 = 0.35x

⇒x = 0

Therefore, the x-intercept in the equation represents:

The number of sales when no money has been raised.

Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.

Which describes the ingredients Brad uses to make one batch of snack mix?

Answers

let
c = cereal
m = mixed nuts
c = 3m
c + m = 6
3m + m = 6
4m = 6
m = 6/4
m = 3/2 or 1 &1/2 cup
then c = 3m
c = 3(3/2)
c = 9/2 or 4 &1/2 cup

Answer:

The answer is 4.5 cups of cereal and 1.5 cups of mixed nuts

Step-by-step explanation:

Let 'c' be the number of cups of cereal.

Let 'n' be the number of cups of mixed nuts.

One batch of his recipe makes 6 cups of snack mix, so equation becomes:

[tex]c+ n=6[/tex] ..... (1)

Also given that Brad uses 3 times as much cereal as mixed nuts, so equation becomes:

[tex]c=3n[/tex] ......(2)

Substituting (2) in (1)

[tex]3n+n=6[/tex]

=> [tex]4n=6[/tex]

=> [tex]n=1.5[/tex]

Since c = 3n, then

[tex]c=3*1.5=4.5[/tex]

So, the answer is 4.5 cups of cereal and 1.5 cups of mixed nuts.

The sum of two numbers is 64 . the larger number is 22 more than the smaller number. what are the numbers?

Answers

64-22 = 42

42/2 = 21

21+22 = 43

21 + 43 = 64

the numbers are 21 & 43

The larger number is 43 and the smaller number is 21.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The numbers will be calculated as:-

Let the larger number be L and the smaller number be S.

L + S = 64

From the given data the larger number is 22 more than the smaller number

L = S + 22

Put L = S + 22 in the above equation.

S + 22 + S = 54

2S = 64 -22

2S = 42

S = 42 / 2 = 21

L = S +22 = 21 + 22 = 43

Therefore, the larger number is 43 and the smaller number is 21.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

If you live in Dallas, then you live in Texas, what is the contrpositive of this?

Answers

Thanks for your question!

If you live in Texas, you can live in Dallas.

Hope this helps!

round 38562.7 to 1 significant figure

Answers

= 488000
(real number)

= 4.88 × 105
(scientific notation)

= 4.88e5

maybe this will help ?

to round it to 1 significant figure there needs to be only 1 figure that is above 1 the rest must be zero so the answer is 40000

A 150° angle is an obtuse angle. What do you Notice about the statement below? What do you Wonder about the statement?

Answers

The statement is just a fact.

A student has to earn a total of at least 280 points on four tests in his math class to pass the class, and his total on the first three tests is 197 points. set up an inequality necessary to find the minimum number of points that he must earn on the fourth test to pass the class. then solve the inequality.

Answers

try this equation 280 - 197 = x

I need help with equation number 6

Answers

Combine like terms
-2x-4=-2x-4

Since the equations are the same, the answer is infinitely many solutions.

Evaluate.
3+2⋅6
_____
3

Answers

The answer is 5. Hope that helps :)

3 plus 2 is 5 obviously, 5 times 6 is 30. if thats what youre looking for but you arent really saying what you need

7.1 + 16.04 – .2 = ?

Answers

(7.1 + 16.04) - .2 = 22.94
hope i helped
can i have brainlist

07.10
16.04
+------
23.14
00.20
-____
22.94 :)

Give the slope intercept form of the equation of the line that is perpendicular to 5x-3y=8

Answers

hello :
let the slope : a and ; b the slope of the line : 5x - 3y = 8
the line that is perpendicular to 5x-3y=8 so : a×b = - 1
but :
5x - 3y = 8... y = (5/3)x - 8/3 when : b = 5/3
the slope intercept form of the equation of the line that is perpendicular
to 5x-3y=8 is : y = (5/3)x +c

Brandon is shopping at Old Navy during a sale. All shorts are $16 each and all t-shirts are $10 each.He has $100 to spend and would like to purchase at least 2 pairs of shorts.
a) Write a system of linear inequalities to represent
this situation, then graph.
b)Using your graph, give two possible combinations
of shorts and Brandon can buy.

Answers

Let
x = the number of shorts bought
y = the number of t-shirts bought

A pair of shorts costs $16 and a t-shirt costs $10. Brandom has $100 to spend.
Therefore
16x + 10y ≤ 100
This may be written as
y ≤ - 1.6x + 10 (1)

Brandon wants at least 2 pairs of shorts. Therefore
x ≥ 2 (2)

Graph the equations y = -1.6x + 10 and x = 2.
The shaded region satisfies both inequalities.

Answer:
Two possible solutions are
(a) 3 pairs of shorts and 4 t-shirts,
(b) 4 pairs of shorts and 2 t-shirts.

Two possible solutions are (a) [tex]3[/tex] pairs of shorts and [tex]5[/tex] t-shirts

(b) [tex]4[/tex] pairs of shorts and [tex]3[/tex] t-shirts.

[tex]x=the\; number\; of shorts\\y=the\; number\; of\ t-shirt\; bought[/tex]

So equation formed is

[tex]16x+10y\leq 100[/tex]

[tex]10y\leq 100-16x\\y\leq 10-1.6x[/tex]---Eq [tex]1[/tex]

Bradon wants at least [tex]2[/tex] pair of shorts.Therefore

[tex]x\geq 2[/tex]--Eq [tex]2[/tex]

Now put,

[tex]x=3 \\y=10-1.6(3)\\y=10-4.8\\y=5\\[/tex]

Hence [tex]3[/tex] shorts and [tex]5[/tex] t-shirts

Now put,

[tex]x=4 \\y=10-1.6(4)\\y=10-6.4\\y=3\\[/tex]

Now graph the equation,

Learn more about inequalities here:

https://brainly.com/question/15137133?referrer=searchResults

Other Questions

Which party has recently emerged as a third-party alternative to the two major political parties? If someone has a current gpa of 4.33, what does that mean? Do they have a good change to go to a competitive school? (Just based on the gpa) what words would you use to describe equiano Share one element from the article that you learned. how can improving your essay writing skills be of help to you in your professional and academic careers? ms.nenadal write 27=72 on the board. do you agree or disagree? draw arrays to help explain your thinking to get to work truman waited 11 minutes for the bus, then travled 21.78 miles on the bus at a speed of 33 miles per hour how much time passed from the time Truman left for work to the time he arrived at work Why, exactly, do experiments enable cause-and-effect conclusions? Abnormalities in metabolism are most likely caused by dysfunction of the what? What is the midpoint of AB if A = (2, 2) and B = (3, 1)? Enter your answer in the boxes below. Annie describes her parents as the family eats breakfast for the last time together ( lines 121- 149). what is her tone in the passage? whats words convey that attitude? Evaluate cos if sin = [tex]\frac{ \sqrt{5} }{3} [/tex] Can someone help figure out how to solve this equation? Thank you!There 20 people competing in a contest if first place earns $100, second place earns $50 and third place earns $25, How many ways can the three winners be selected? Check three ways to correct a dangling construction. 1. Place the modifier next to the word it modifies.2. Get rid of the modifier.3. Supply a word for the modifier to describe.4. Change the dangling modifier to a subordinate clause. According to self-determination theory, the motivation that needs to be most enhanced in asking another person to engage in an uninteresting but important activity (e.g., recycling, cleaning) is to promote: Read the passage from Utopia. This was the only ground of that war in which they engaged with the Nephelogetes against the Aleopolitanes, a little before our time; for the merchants of the former having, as they thought, met with great injustice among the latter, which (whether it was in itself right or wrong) drew on a terrible war, in which many of their neighbours were engaged; and their keenness in carrying it on being supported by their strength in maintaining it, it not only shook some very flourishing states and very much afflicted others, but, after a series of much mischief ended in the entire conquest and slavery of the Aleopolitanes, who, though before the war they were in all respects much superior to the Nephelogetes, were yet subdued; but, though the Utopians had assisted them in the war, yet they pretended to no share of the spoil. The purpose of this passage is to provide an analogy to compare the military might of the Utopians to that of other cultures. anecdote to illustrate the circumstances under which Utopians go to war. example to explain why the Utopians should be feared as superior warriors. exciting fact to show the passion with which Utopians fight their enemies. How did italy's trade with the muslim world contribute to the italian renaissance? Which excerpt from The Girl Who Silenced the World for Five Minutes is an opinion? The papacy's potential to play a major role in the colonization of the new world was confirmed by Jason's age is 1 2 of his brother's age. His brother's age can be represented by the expression 12a - 9. Write an expression that can be used to represent the sum of their ages. A)12a - 5.5 B)18a - 13.5 C)18a + 21 Eliminate D) (12a-9) 2 Solve the following system of equations.4x + 5y = -24x + 3y = 10x=?y=? Steam Workshop Downloader