Answer:
2430
Step-by-step explanation:
The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:
The break even price is at $1 and $5To maximize his revenue, he as to charge $3The most money he can make is $160He charged $4.225 or $1.775 to make $100.Given that:
[tex]R = (p - 1)(200 - 40p)[/tex]
To calculate the break even, we set R to 0.
So, we have:
[tex](p - 1)(200 - 40p) =0[/tex]
Split
[tex]p - 1 = 0[/tex] or [tex]200 - 40p = 0[/tex]
Solve for p
[tex]p = 1[/tex] or [tex]40p = 200[/tex]
Divide by 40 in the second equation
[tex]p=1[/tex] or [tex]p =5[/tex]
The break even price is at $1 and $5
To maximize his revenue, we have:
[tex]R = (p - 1)(200 - 40p)[/tex]
Open bracket
[tex]R = 200p - 200 - 40p^2 + 40p[/tex]
Rewrite as:
[tex]R = - 40p^2+ 200p + 40p- 200[/tex]
[tex]R = - 40p^2+ 240p- 200[/tex]
Differentiate
[tex]R' = -80p + 240[/tex]
Equate to 0 and solve for p
[tex]-80p + 240=0[/tex]
[tex]-80p =- 240[/tex]
Divide by -80
[tex]p = 3[/tex]
To maximize his revenue, he as to charge $3
The most money he can make is calculated as:
[tex]R = (p - 1)(200 - 40p)[/tex]
Substitute [tex]p = 3[/tex]
[tex]R = (3 - 1)(200 - 40 \times 3)[/tex]
[tex]R = (3 - 1)(200 - 120)[/tex]
[tex]R = 160[/tex]
The most money he can make is $160
The charges he sold when he made $100 is:
[tex]R = - 40p^2+ 240p- 200[/tex]
Substitute 100 for R
[tex]- 40p^2+ 240p- 200=100[/tex]
Collect like terms
[tex]- 40p^2+ 240p- 200-100=0[/tex]
[tex]- 40p^2+ 240p- 300=0[/tex]
Divide through by -20
[tex]2p^2- 12p+ 15=0[/tex]
Using quadratic formula, the solution of p is:
[tex]p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}[/tex]
So, we have:
[tex]p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}[/tex]
[tex]p = \frac{12 \± \sqrt{24} }{4}[/tex]
[tex]p = \frac{12 \± 4.90 }{4}[/tex]
Split
[tex]p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}[/tex]
[tex]p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}[/tex]
[tex]p = 4.225\ or\ p = 1.775[/tex]
He charged $4.225 or $1.775 to make $100.
Read more about revenue and price at:
https://brainly.com/question/11859895
Identify the coefficients: -3h - 2h + 6h +9
Answer:
-23h
Step-by-step explanation:
lines A and B are parallel lines find the measures of angle 1
Answer:
33Step-by-step explanation:
alternate angles are equal
see attached
The measure of ∠1 is 33° .
What is alternate interior angles?When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.
According to the question
As given , lines A and B are parallel lines
therefore ,
∠1 = 33°
∠3 = 57°
they are between parallel line and opposite of transversal line
So, they are alternate interior angles and are equal .
Hence, The measure of ∠1 is 33° .
To know more about alternate interior angles here:
https://brainly.com/question/14693114
#SPJ2
Four college friends (one is named Cathy) were all accepted to a graduate school.
Answer:
Wow that is great
Step-by-step explanation:
is there a question? uhhhmmmmm
20 points & Brainliest
Why are rotations a rigid motion?
Answer:
RC,\α is a rigid motion.
Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.
the motion follows in a circularmanner with C as the center.
consider a point Q which changes to Q1 after rotation by an angle\alpha
Step-by-step explanation:
When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.
Factorise fully
-14x - 8
ease do quick, will mark brainiest!
Answer:
-2( 7x+4)
Step-by-step explanation:
-14x - 8
Factor out -2
-2*7x -2*4
-2( 7x+4)
Answer:
2(-7x -4)Step-by-step explanation:
[tex] - 14x - 8[/tex]
Write -8 as -4×2
[tex] - 14x + 2 \times 4[/tex]
Factor out common term : 2
[tex]2( - 7x - 4)[/tex]
HELPPPPP!! Is the expression 6 + 3 = 9 an equation ? Explain.
Answer:
No, because an expression is already solved and an equation is where you have to solve it
Step-by-step explanation:
Answer:
No as said you have to solve and equation yet an expression is already solved for your viewing.
Step-by-step explanation:
Please find the area and circumference of
the circle below
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + [tex]\frac{1}{2}[/tex] gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²
S = 23.7m
Please help it would help me alot!!!
Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23
Step-by-step explanation:
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour
The students can make 6 tickets from each sheet of paper. How many sheets of paper. How many sheets of paper are needed for 125 tickets?
Answer:
20.8333333
Step-by-step explanation:
6 x 20.8333333 = 125
When is it appropriate to model data with a liner function? Give an example of real world data that can be modeled with a linear function. Include the linear function and a sample of the data
Answer:
The linear function would be:
C = 10t + 2
where C is the cost and t is time in months
Step-by-step explanation:
a bottle of hand lotion is on sale for $2.25. if this price represents a 50% discount from the original price, what is the original price to the nearest cent?
Answer:
4.50
Step-by-step explanation:
2.25 plus 2.25 aka half
Is f^-1(x) = x/9 - 5/9 a function?
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:
⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:
⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
Please Help! :(
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.
Write the Equation and the answer please
Answer: there is 90 players in total
Step-by-step explanation:
6x 2= 12
78 + 12 = 90
Answer:
x=15
Step-by-step explanation:
6(x−2)=78 (or 6x−12=78), x=15
Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.
Answer:
Responds to my friend
Decision rule
Fail to reject the null hypothesis
Conclusion
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Step-by-step explanation:
Here we are going to consider this question
For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.
Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method
From the question the we are told that
The first sample size is [tex]n_1 = 380[/tex]
The second sample size is [tex]n_2 = 205[/tex]
The number of California residents that are vegetarian is [tex]k = 109[/tex]
The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]
Generally the sample proportion for California residents is
[tex]\^ p_1 = \frac{k}{n_1}[/tex]
=> [tex]\^ p_1 =\frac{109}{380}[/tex]
=> [tex]\^ p_1 = 0.2868 [/tex]
Generally the sample proportion for New Hampshire residents is
[tex]\^ p_2 = \frac{39}{205}[/tex]
=> [tex]\^ p_2 = 0.1902 [/tex]
The null hypothesis is [tex]H_o : p_1 -p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 -p_2 > 0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1} + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]
=> [tex]t = \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380} + \frac{0.1902(1- 0.1902)}{205} } }[/tex]
=> [tex]t = 0.036[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 380 + 205 -2[/tex]
=> [tex]df = 583/tex]
Generally the probability of [tex]t = 0.036[/tex] at a degree of freedom of [tex]df = 583/tex] from the t- distribution table is
[tex]p-value = P(t > 0.036) = 0.48564732[/tex]
Let take the level of significance to be [tex]\alpha = 0.05[/tex]
So from the values obtained we see that [tex]p-value > \alpha[/tex] hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Is 8.25 greater, equal or less than 8.250
Answer:
If this is basic mathematics its =
Step-by-step explanation:
You won't have to worry about sig figs until chemistry.
The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}
Answer:
Yes
Step-by-step explanation:
The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.
Hope this helps. Please mark brainliest.
Add parentheses to make 6-9-2+3x6 equal to 17
Answer:
6-(9-2)+3x6
Step-by-step explanation:
hope it helps
On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park
Answer:
( 4 )
Step-by-step explanation:
Hope this helps
also go to g-mail to check out my
Type in Brandon Acevedo
okay
What is 4/9 - 1/3 =
help
Answer:djjdd
Please I love free points secy
Step-by-step explanation:
Ok but guys is 10009
How many times greater is the product of 4 x 300 than the product 4 x 30
Answer:
10 times bigger
Step-by-step explanation:
because if you do 4 times 300 thats 1200
and if you do 4 times 30 then you get 120
and 120 times 10 is 1200 so there you go.
HOPED THIS HELPED!!!!!!!!! :D
Compute the mean, median, and mode for the following three sets of scores saved.
Score 1 Score 2 Score 3
3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123
Answer/Step-by-step explanation:
Score 1:
3, 7, 5, 4, 5, 6, 7, 8, 6, 5
Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]
Median: order the data from least to the greatest.
3, 4, 5, 5, 5, 6, 6, 7, 7, 8
The median is average of the fifth and sixth data value in the data set
Median = (5 + 6)/2 = 11/2 = 5.5
Mode = value with the highest frequency = 5
Score 2:
34, 54, 17, 26, 34, 25, 14, 24, 25, 23
Mean = sum of all values/10
Mean = 276/10 = 27.6
Median: order the data set from min to max.
14, 17, 23, 24, 25, 25, 26, 34, 34, 54
The median is average of the fifth and sixth data value in the data set
Median = (25 + 25)/2 = 50/2 = 25
Mode = 25 and 34 (both have frequencies of 2)
Score 3:
154, 167, 132, 145, 154, 145, 113, 156, 154, 123
Mean = sum of all values/10
Mean = 1443/10 = 144.3
Median: order the data set from min to max.
113, 123, 132, 145, 145, 154, 154, 154, 156, 167
The median is average of the fifth and sixth data value in the data set
Median = (145 + 154)/2 = 299/2 = 149.5
Mode = 154
4cm
2cm
6cm
Find the area please
Step-by-step explanation:
ummm where is the pic? like bruh
Answer:
48 cm
Step-by-step explanation:
Multiply 4x2x6 and get the answer of 48 cm.
I toss a coin 60 times. It lands on tails 24 times. What percent of the time does it land on tails?
Please help ASAP.
Will mark brainliste
Answer:
i think its c but it could also be d sorry if im wrong T-T
Step-by-step explanation:
The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.
Answer:
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
Step-by-step explanation:
The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.
So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
Solving a System of Linear Inequalities
Given the system of inequalities:
4x - 5y = 1
Which shows the given inequalities in slope-intercept
form?
Answer:
y = 4/5x -1/5
Step-by-step explanation:
4x -5y = 1
-5y = -4x + 1
5y = 4x - 1
y = 4/5x - 1/5
Please help I would appreciate
Answer:
the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative