Hi everyone, I'm having trouble with this question and I'm not sure how to do it/where to start. Does anyone have a solution to it? It will help me with my future problems on this topic!
Answers
This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation
[tex]P(x)=(200-5x)(250+10x)[/tex]
(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0
[tex]P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000[/tex]
This is the initial condition where if we sell 200 plots at $250/plot.
So, this equation makes sense.
Now, let's maximize using the first derivative of the function.
Let's get it into an easily differentiable form.
[tex]P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000[/tex]
From here, differentiate the problem.
[tex]P'(x)=-100x+750[/tex]
Now, set it equal to zero and solve for x.
[tex]P'(x)=-100x+750=0\\x=7.5[/tex]
This a critical point of the function. Let's plug back into the original equation to see what it gives us.
[tex]P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50[/tex]
You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.
In order to sell 162 plots
[tex]200-5x=162\\x=7.6[/tex]Plug back into P(x) to see the profit
[tex]P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812[/tex]
Now, do the same for 163 plots
[tex]200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812[/tex]
As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.
Related Questions
Work out the circumference and area of glass needed for the top of a display cabinet which has a diameter of 1.8m
Answers
Answer:The area of a circle with radius 0.2865 is 0.2579
Step-by-step explanation: Area of a circle in terms of radius:
Area = π·r2 = 3.14·0.292 = 0.26 square meters(*)
Area of a circle in terms of diameter:
Area = π·(d
2
)2 = 3.14·(0.57
2
)2 = 3.14·(0.29)2 = 0.26 square meters(*)
Area of a circle in terms of circumference:
Area = C2
4π
= 1.82
4π
= 3.24
(4·3.14)
= 3.24
12.56
= 0.26 square meters(*)
The circumference of circle is 5.652m.
What is Circumference of circle?The circumference of a circle is its boundary or the length of the complete arc of a circle.
The formula for the circumference of a circle is expressed using the radius 'r' of the circle and the value of 'pi'. It is expressed as, Circumference of a circle formula = 2πr. While using this circumference formula, if we do not have the value of the radius, we can find it using the diameter.
For example:
If the radius of the circle is 25 units, find the circumference of the circle. (Take π = 3.14)
Solution: Given, radius = 25 units
Let us write the circumference formula and then we will substitute the value of r (radius) in it.
Circumference of circle formula = 2πr
C = 2 × π × 25
C = 2 × 3.14 × 25 = 157 units
Therefore, the circumference of a circle is 157 units.
Given:
diameter= 1.8 m
radius= 0.9m
Now, Circumference of circle
=2πr
= 2* 3.14 * 0.9
= 5.652 m
Hence, the circumference of circle is 5.652m.
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Which table represents y as a function of x?
X
1
2
0
0
1
2
3
3
X
-1
-1
o
2
1
0
2
3
X
V
1
10
2
3
0
1
2
3
x
V
-1
-1
0
-1
Answers
Answer:
reduce
Step-by-step explanation:
become it is un solvef
A survey concluded that 5 out of every 6 teachers
drink at least one cup of coffee in the morning
before school. If Lubbock Middle School has 78
teachers, approximately how many teachers
would you predict drink at least one cup of coffee?
Answers
Answer:
5+6= 11
78-11= 67
That is the final answer
The AVID teachers are collecting boxes for charity. They have asked 60 teachers to donate 5 boxes. if 20% of the teachers donate 5 boxes each, how many boxes will AVID collect? please show work
Answers
Answer:
60 boxes
Step-by-step explanation:
1. First find 20% of 60 (multiply 60 by .2) to get 12.
2. So 12 teachers will donate 5 boxes each (12 x 5=60)
Answer: The answer would be 60 boxes.
Step-by-step explanation: If there are 60 teachers and only 20% of the teachers donate, then you could say that there is only 0.2 of the teachers who donated boxes. This gives you 0.2 times 60 which equals 12. If each teacher donates 5 boxes each and there are 12 teachers who donated, then there would be a total of 60 boxes donated.
Hope this helps.
A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), These data are available in data set ConcurrentUsers.
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
(a) Compute the sample mean, variance, and standard deviation of the number of concurrent users.
(b) Estimate the standard error of the sample mean.
(c) Compute the five-point summary and construct a boxplot.
(d) Compute the interquartile range. Are there any outliers?
(e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim?
Answers
Since there is no number greater or less than the above one, it doesn't contain any outlier.
The given data set is
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
What is variance?The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.
(a) Sample Mean = The Sum of the given terms/Number of terms
So, sample mean as µ=17.954
Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]
=9.97
Standard deviation s=√9.97
=3.16
b) The standard error can be denoted by:
s/√n-1 = 3.16/√49
=0.45
c) For the given data,
The value of the least sample number =12.0
The value of the greatest number in sample=24.1
So, Q1=15.83
Median =17.75
Q3=19.88
d) The IQ range would be as follows:
Q3-Q1=19.88-17.75
=4.05
The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.
Since there is no number greater or less than the above one, it doesn't contain any outlier.
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A population has a mean of 200 and a standard deviation of 50. Suppose a simple random sample of size 100 is selected and x is used to estimate . a. What is the probability that the sample mean will be within 65 of the population mean
Answers
Answer:
z(195) = (195-200)/50 = -0.1
z(205) = (205-200)/50 = +0.1
P(195 < x < 205) = p(-0.1 < z < 0.1) = 0.0797
Step-by-step explanation:
step by step is in they're
Using the normal distribution and the central limit theorem, it is found that there is a 1 = 100% probability that the sample mean will be within 65 of the population mean.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
The mean is of 200, hence [tex]\mu = 200[/tex].The standard deviation is of 50, hence [tex]\sigma = 50[/tex].The sample size is of 100, hence [tex]n = 100, s = \frac{50}{\sqrt{100}} = 5[/tex].We want the probability that the sample mean will be within 65 of the population mean, hence:
[tex]Z = \frac{65}{s}[/tex]
[tex]Z = \frac{65}{5}[/tex]
[tex]Z = 13[/tex]
The probability is P(|Z| < 13), which is the p-value of Z = 13 subtracted by the p-value of Z = -13.
Looking at the z-table:
Z = 13 has a p-value of 1.Z = -13 has a p-value of 0.1 - 0 = 1
1 = 100% probability that the sample mean will be within 65 of the population mean.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Solve for m.
35m>−30
a. m>−50
b. m<−50
c. m>−18
d. m<−18
Answers
Answer:
A.
m>-50
i asked for all the quizzes answers on my questions and i will tell you!
Step-by-step explanation:
k12
Answer:
m<-50
Step-by-step explanation:
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 feet deep at its deepest point. If the pool is being filled at a rate of 0.8ft3/min, how fast is the water level rising when the depth at the deepest point is 5 ft
Answers
Using implicit differentiation, it is found that the water level is rising a rate of 0.001 ft/sec.
The volume of a pool of length l, width w and height h is given by:
[tex]V = lwh[/tex]
Applying implicit differentiation, the rate of change of the volume is given by:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
Neither the width nor the length changes, hence [tex]\frac{dl}{dt} = \frac{dw}{dt} = 0[/tex], and:
[tex]\frac{dV}{dt} = lw\frac{dh}{dt}[/tex]
We are given that:
[tex]\frac{dV}{dt} = 0.3, l = 20, w = 40[/tex], hence:
[tex]\frac{dV}{dt} = lw\frac{dh}{dt}[/tex]
[tex]0.8 = 20(40)\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt} = \frac{0.8}{800}[/tex]
[tex]\frac{dh}{dt} = 0.001 [/tex]
Water level is rising at rate of 0.001 ft/sec.
A similar problem is given at https://brainly.com/question/9543179
4.
Faiza had 1/2 litres of juice in a jug. She drank of it in the 1/4
morning. Her sister added 3/8 ſlitres more in the jug. How much juice
is in the jug now?
Answers
Step-by-step explanation:
1/4*0.5lit=0.125lit
0.125+(3/8*1000)=0.125+0.375=0.5lit
Can someone please help me with #1,2,3,4 and 5 using a motion detector?
The motion detector measures how far away you are from the device over 5 seconds.
For each graph,come up with a description for what the walker (s) should do (or describe what they did after you see it).
Answers
Problem 5
Recall that speed = distance/time. A change in distance over a change in time also represents the slope of the line.
The slope of any given piece represents the walker's speed. Negative slopes mean that the walker is coming closer to the device, while positive slopes mean the walker is moving away.
For instance, a slope of m = -2 means the walker is moving at 2 mph and is moving toward the motion detector. This is just an example of course.
The graph given here starts off with a negative sloped portion. It goes downhill as we move to the right because time always progresses in this fashion (i.e. time is always increasing). So this portion represents the walker moving closer to the device at some unknown speed. We can't calculate the speed because your teacher didn't give you any numbers. So you can make up your own or just give the general sense of what's going on.
For the middle portion, the flat horizontal line means that slope = rise/run = 0/B = 0. Where B is some positive number to indicate a run. The slope being 0 tells us that the speed is 0, which in turn means the person isn't moving at all during this stretch of time.
After being motionless for some unknown amount of time, the walker then moves away from the motion detector. This is because this third portion has a positive slope now.
To recap, we have this summary of motion (or lack thereof)
The person moves closer to the motion detectorThe person is motionlessThe person moves away from the motion detectorEach section has an unknown duration and unknown speed (other than the speed of 0 mentioned). The sections are numbered to indicate the proper order in time in which they happened.
============================================================
Problem 6
It's the same idea as earlier. The person starts off walking away from the motion detector. Then at some point, they turn around and walk back toward the detector until they reach the device itself. How do we know the person reaches the device? Because of the x intercept. This is when y = 0 to indicate the distance to the device is 0 units. The x intercept is where the graph crosses the x axis.
Answer:
The person moves further away from the detectorThe person turns around and moves closer to the detector until reaching the deviceOnce again, we have no idea about speeds or time durations. This time a speed of 0 isn't involved, so the person is never motionless (maybe perhaps for a brief split instant, but that's about it).
============================================================
Problem 7
There are no increasing sections this time. The person never walks away from the motion device at any moment. This is due to the lack of positive sloped sections.
S/he starts at some distance away and walks closer to the device for the first section of time. Then they pause and stay motionless for a while similar to what was discussed in problem 5. Then the person resumes motion to walk to the motion detector until they reach the device. We know they reach it because of the x intercept.
Answer:
The person starts at some distance away and walks closer to the device.The person pauses for some duration.The person resumes motion toward the motion detector.============================================================
Problem 8
This time we're dealing with curved sections, but the idea is pretty much the same. Any time we go uphill, the slope is positive (so to speak) and it represents moments the person is walking away. Any time we go downhill, the person is walking toward the item. Always move to the right because time is always increasing in this fashion.
The smooth curve motion indicates that the person's speed is changing at a more smooth rate, as compared to the sharp pointed jarring changes in speed compared to the other graphs. This is likely a more realistic graph for someone's motion. Someone is very unlikely to change speeds very quickly in such a short instant in time.
Answer:
The person walks away from the deviceThey walk toward the deviceThey change their mind to move awayThey change their mind yet again to come back to the motion detector============================================================
Problem 9
We have four separate disconnected sections that are all flat. This indicates that we have four people at different (unknown) distances away from the motion detector. None of these people are moving.
The unfortunate thing is that this graph is a bit misleading. This graph has the first section end rather than go on forever. The first person (or any other person for that matter) doesn't stop being detected and they aren't magically teleported away. However, the graph is set up like this to avoid failing the vertical line test.
Write the equation of the circle centered at (10, – 4) that passes through (14, 12).
Answers
Answer:
(x -10)² +(y +4)² = 272
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:
(14 -10)² +(12 -(-4))² = r² = 16 +256 = 272
Then for the given center and the value of r² we found, the equation is ...
(x -10)² +(y +4)² = 272
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=59(0.59)^x
what is the % increase
Answers
Answer:
Step-by-step explanation:
y=59(0.59)ˣ
As the number under the exponent is less than 1, this is a decay function.
Value of y will be decreased by (1.00 - 0.59)100 = 41% for each unit increase in x.
5
which ratio is greater than 5/8
12/24
3/4
15/24
4/12
Answers
Answer:(B)
Explanation: 3/4. Hope this helped :)
How do I convert 10.8 mg to ml
Answers
Answer:
10.8mg to ml
Step-by-step explanation:
If you want to convert mg to ml of water you use
1ml=1000mg,then convert the units
1ml=1000mg, then what is the ml of 10.8mg? by using crisscross, let unknown value is B
= 1ml=1000mg
B=10.8mg
=1ml*10.8mg
1000mg
=0.0108mlsimplify fully
2√3 x 3√8
Answers
Answer: 12√6
Step-by-step explanation:
Given the expression;
2√3 * 3√√8
= (2*3) * (√3*√8)
= 6 * (√24)
= 6 * √4*6
= 6 * (2√6)
= (6*2)√6
= 12√6
Therefore, the simplified form of the expression is 12√6.
A farmer had 21 goats all but 9 died how many survive ?
Answers
Answer: 12
Step-by-step explanation:
Answer:
it would be 9
Step-by-step explanation:
All but nine died means "everything except nine goats died"
All 12 goats died.
Divide £945 in the ratio 2:5
Answers
A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision. True or False: If the level of significance had been chosen as 0.05, the company would market the new anesthetic.
Answers
Testing the hypothesis using the z-distribution, it is found that the statement is False.
At the null hypothesis, we test if the mean is still of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, we test if the mean is of less than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are as follows: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
The p-value of the test is the probability of finding a sample mean of 7.1 or lower, which is the p-value of z = -1.5.
Looking at the z-table, z = -1.5 has a p-value of 0.0668.
Since the p-value of the test is 0.0668 > 0.05, there is not enough evidence to conclude that the time is lower, hence the statement is False.
A similar problem is given at https://brainly.com/question/16695704
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?
Answers
Answer:
9.75*1.2= 11.7min (time spent reading in science)
24.5*0.8=19.6min (time spent reading play)
19.6+11.7= 31.3min (total time spent reading)
Do Babies Understand Probability? Can babies reason probabilistically? A study1 investigates this by showing ten- to twelve-month-old infants two jars of lollipop shaped objects colored pink or black. Each infant first crawled or walked to whichever color they wanted, determining their "preferred" color. They were then given the choice between two jars that had the same number of preferred objects, but that differed in their p
Answers
Answer:
Step-by-step explanation:
Wow, that’s interesting!
Is this a question?
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. linear function; linear term: x; constant term: −12
B. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
D. linear function; linear term: 6x2; constant term: −12
Answers
9514 1404 393
Answer:
C. quadratic function; quadratic term: 6x^2; linear term: x; constant term: −12
Step-by-step explanation:
A function is "quadratic" when the degree (exponent) of the highest-degree term is 2. The "quadratic" term is the one with degree 2.
The "linear" term is the one that has degree 1.
The "constant" term has no variable.
In the quadratic function ...
f(x) = 6x^2 +x -12
the quadratic term is 6x^2
the linear term is x
the constant is -12
Answer: The answer is either letter B or letter C
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Step-by-step explanation:
Find the degree of the function to determine if linear. f ( x ) = 6 x 2 + x − 12 is not a linear function
Nothing further can be done with this topic. Please check the expression entered or try another topic. f ( x ) = 6 x 2 + x − 12
Please help quick!!!
Answeer two questions
Answers
Answer:
x = 4[tex]2^2*3*7[/tex]Step-by-step explanation:
First, we add 16 and 28 [tex]16+28=44[/tex]
Now we have to solve for x
We know we have to do parenthesis first so [tex](4+7)=11[/tex]
[tex]44=x(11)[/tex]
Then we divided both sides by 11
[tex]\frac{44}{11} =\frac{11x}{11}[/tex]
[tex]x=4[/tex]
To find the Prime Factorisation of 84 we have to divide 84 by the smallest prime number which is 2
So [tex]\frac{84}{2} = 42[/tex]
Since 42 is an even number we can still divide it by 2
So [tex]\frac{42}{2} = 21[/tex]
Now we can divide 21 by the 2nd smallest prime number which is 3
So [tex]\frac{21}{3} = 7[/tex]
So the prime factors of 84 would be [tex]2*2*3*7[/tex] or [tex]2^2*3*7[/tex]
How do you find the null hypothesis when you have the alternative hypothesis?
Answers
Answer:
If an alternative hypothesis is accepted the result of the study became significant
Lin and Diego want to run a race in which they will both finsh when the timer reads exactly 30 seconds. Who should get a head start, and how long should the head start be?
Answers
Answer:
Lin needs a 45-meter head start. Lin will travel 120 meters in 30 seconds, and Diego will travel 165 meters in 30 seconds.
Step-by-step explanation:
Does anyone know this?
Answers
Answer: 8.6?
Step-by-step explanation:
solve pls brainliest
Answers
Answer:
w=2.5
Step-by-step explanation:
divide 12.5 by 5: 12.5/5=2.5, so w=2.5
Answer:
2.5
Step-by-step explanation:
To solve for something you want to get it alone on one side. To do this for this problem you want to divide both sides by 5. This comes out to 2.5
Statistics question 8
A survey is sent out to a sample of voters about an upcoming election via text messaging. Do you think this will produce an unbiased sample? Give your reasons for your answer.
Answers
Answer:
This will not produce an unbiased sample
Step-by-step explanation:
Reason for this is that not many people have phones believe it or not, therefore you are discriminating against the people without phones
what is the value of x?
(3x-1)º
Answers
(3x-1)))))]))))))))])))))))))))))])))))))))))))))))))))))
A group of 4 friends went out for a special dinner. the items they ordered are listed below
24.95+18.96+17.55+23.14+12.00=96.60
Part B: The four friends decided to split the bill evenly. How much does each friend owe
Answers
24.95 + 18.96 + 17.55 + 23.14 + 12.00 + 96.60
4 divided by 12 is 3
Which is the graph of the linear inequality Ex-2y> -6?
10
Answers
Answer:
y<3 is a horizontal line, not included, but all the points below it
Step-by-step explanation:
[tex] - 2y > - 6[/tex]
[tex]y < 3[/tex]