Need math help with the formula for the future value
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ybevrnaa1
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formula for the future value of an ordinary annuity to calculate A with monthly payment R= 450.00 R= 6.5% and the number of monthly payment N= 120 Do not round until final answer
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13 pages
Math Answers
1. Each equation below is to be approximately solved using Newton-Raphson method with the given starting value x0, In each ...
Math Answers
1. Each equation below is to be approximately solved using Newton-Raphson method with the given starting value x0, In each case, use technology to ...
Northeastern University Week 2 Standard Error Statistics Questions
Fully answer each questions. Throughly display all work for each problem. If you have any question, let me know.
Northeastern University Week 2 Standard Error Statistics Questions
Fully answer each questions. Throughly display all work for each problem. If you have any question, let me know.
Queuing questions
Case: Massachusetts General Hospital’s Pre-admission Testing Area (PATA)McCarty, Kelsey, Gallien, et al. (2012, January ...
Queuing questions
Case: Massachusetts General Hospital’s Pre-admission Testing Area (PATA)McCarty, Kelsey, Gallien, et al. (2012, January 3). Massachusetts General Hospital's Pre-admission Testing Area (PATA). MIT Sloan School of Management. Case: 11–116. Retrieved from https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspxIf the hyperlink above does not work directly (you do not need to
register to MIT site), please copy the link below to your browser to
open the case page directly: https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspxThe Pre-Admission Testing Area (PATA) is an outpatient clinic at
Massachusetts General Hospital responsible for conducting preoperative
assessments of surgical patients prior to their procedures. Set in June
2009, this case study describes the conditions of this busy outpatient
clinic prior to a process improvement effort by a collaborative team
of MIT Sloan students and faculty and MGH clinicians and administrative
staff. It also examines the complete PATA experience from both the
patient and provider perspective. The importance of improving PATA is
emphasized through a description of how this relatively small clinic
has a very large downstream effect on the MGH operating rooms and the
entire perioperative care system.You are required to review the entire case study information
available at the reference above and write a paper based on the
suggested case questions below.Construct a process flow diagram of the PATA visit from a
patient's perspective. Calculate the capacity and utilization rate at
each step in the process.Use capacity analysis tools (build-up diagrams or/and queuing) to
decide if and where there is a bottleneck in the clinic. If a
bottleneck does indeed exist, how long do patients wait as a result of
the bottleneck? (As an approximation, assume that all appointment slots
were filled and patients arrived on time.)Evaluate the three Task Force diagnoses - not enough time between
appointments, not enough rooms, not enough physicians. Are these
diagnoses valid? If so, are they primary contributors to long patient
wait times? Why or why not?What factors contribute to variability in PATA process flow and what control, if any, does the clinic have to eliminate it?What changes would you recommend to improve PATA?Use the information provided in the Background readings. Please do any additional research as necessary.Review the information in PATA case study and become familiar with the products and processes.There is no set response to the case questions, so do not hesitate to think outside the box.It is essential to provide a well-written paper with detailed analysis.READ the information provided by the resources and references on the
Background page. Understand the theory and concept of process
management and productivity improvement.NOTE: Cite the references in the Background, as well as additional references you use in your Case paper.The report should be at least 5–6 pagesBackground Reading:Global Text Project (2017), Operations management: Special topic: supply chain management. OpenStax CNX. Retrieved from: https://cnx.org/contents/EEichvM_@5/Operations-management-What-is-Global Text Project (2017), Operations management: The input/output transformation model. OpenStax CNX. Retrieved from https://cnx.org/contents/_yBkSAt4@4/Operations-management-The-inpuMcCarty, Kelsey, Gallien, et al. (2012, January 3). Massachusetts General Hospital's Pre-admission Testing Area (PATA). MIT Sloan School of Management. Case: 11–116. Retrieved from https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspx Note - Copy link in your browser for going directly to the reading.Pink, Daniel H.(2001, August 31) Who Has the Next Big Idea? Fast Company Magazine, Retrieved from https://www.fastcompany.com/43595/who-has-next-big-ideaHow the U.S. Dept. of Labor measure productivity. (2017). U.S. Dept. of Labor, Bureau of Labor Statistics. Retrieved from http://www.bls.gov/bls/productivity.htm
please double check and correct this (if need be!)
1. Solve the system of equations below both algebraically and by graphing. Be sure to show all of your work and state yo ...
please double check and correct this (if need be!)
1. Solve the system of equations below both algebraically and by graphing. Be sure to show all of your work and state your solution as an ordered pair.1. The first thing I did was put both equations in the form of
y=mx+b. That way it makes them easy to graph and I will know the slope (m) and
the y intercept (b) of each.
The first equation is already in y=mx+b.
y=1/2x + 5/2 means the slope of this line is m=1/2 and the y
intercept is 5/2.
For the second equation I moved numbers around.
It started off as 3x+2y=1.
First I subtracted 3x from both sides to get 2y=-3x+1.
Next I divided 2 to every term in the equation to get y alone.
You get y=-3/2x+1/2.
Now that this is in y=mx+b form, I know that the slope of this
line is m=-3/2 and the y intercept is 1/2.
Knowing this information it can now be graphed.
I first graphed the line with the slope of 1/2 and y intercept
of 5/2.
The line intercepts the y-axis at 5/2 so there should have a dot
at 5/2 or 2.5
Now from there we need a second point to make the line.
If the slope is 1/2 that means we can either go from this point
UP 2 and RIGHT 1 or DOWN 2 and LEFT 1 and can keep doing this from every point.
Next, I did the same thing for the line where slope is -3/2 (or
-1.5) and has a y intercept of 1/2.
I drew the y intercept first on the y line at the 1/2 point
between 0 and 1.
Since it is a negative slope this time we go either DOWN 2 and
RIGHT 3 or UP 2 and LEFT 3 from each point.
The lines both meet up at the point (-1, 2) so
this is the answer!
Solving algebraically:
I set the two equations equal to each other by substituting one
of the variables.
I have y=1/2x+5/2 and y=-3/2x+1/2.
If y equals that, you can replace y with the thing y equals in
the other equation.
You should get 1/2x+5/2=-3/2x+1/2.
Add 3/2x to both sides and you get 4/2x+5/2=1/2.
Then subtract 5/2 from both sides to get 4/2x=-4/2.
Simplify 4/2 by dividing and you get 2x=-2.
Finally, divide by 2 to both sides and you get x=-1.
Now to get the y variable plug x=-1 back into EITHER equation by
replacing wherever it says x with a -1.
I chose to plug in to y=1/2(-1)+5/2.
Multiplying you get y=-1/2+5/2.
Adding you get y=4/2. Dividing that you get y=2.
Then the answer again is in the form of (x,y) so the answer is (-1,
2) It is the same answer both ways.
2. The population of a country is initially 2.5 million people and is increasing by 0.8 million people every year. The country’s annual food supply is initially adequate for 4 million people and is increasing at a constant rate for an additional 0.4 million people per year.a. Based on these assumptions, in approximately how many years will the country first experience shortages of food?b. If the country doubled its initial food supply and maintained a constant rate of increase in the supply adequate for an additional 0.5 million people per year, would shortages still occur? If so, how many years would it take for shortages to occur? If not, explain.c. If the country doubled the rate at which its food supply increases, in addition to doubling its initial food supply, would shortages still occur? If so, how many years would it take for shortages to occur? If not, explain.2.a). I used the
variable ‘x’ in place of the unknown years:
Current
population is 2.5+0.8x where x is 0
Currently
supply is 4+0.4x where x= 0
2.5+0.8x=4+0.4x
0.8x-0.4x=4-2.5
0.4x=1.5
X=1.5/0.4
=3.75
X=3.75
years is when supply will be equal to the demand of the population
Therefore,
the above 3.75 years there will be shortage of food.
Rounding
off to the next year we have X=4 years this indicates the years that food
shortage will be experienced.
The answer is approximately 4 years.
b. Initial food supply is 4 million
4x2=8
Supply
function
8+0.5x
Using
population function
2.5+0.8x
8+0.5x=2.5+0.8x
0.5x-0.8x=2.5-8
-0.3x=-5.5
X=5.5/0.3
X=18.3333
years
X=18.3333
years this is actually the time supply will be equal to the demand of the
population
Therefore
above 18.3333 years there will be shortage.
Hence 19 years to come it means that there will be
food shortage
c. Supply function 2(4+0.4x) =8+0.8x
Population
function is 2.5+0.8x
Therefore
8+0.8x=2.5+0.8x
0.8x-0.8x=2.5-8
0=-5.5 and this is a false statement
This means that for the rest of the years food will
be adequate.
The negative (-) 5.5 means that each year will have
an additional food for 5.5 million people although it does not increase.
3. Springfield will be opening a new high school in the fall. The number of underclassmen (9th and 10th graders) must fall between 500 and 600 (inclusive), the number of upperclassmen (11th and 12th graders) must fall between 400 and 500 (inclusive), and the number of students cannot exceed 1000.a. Let x represent the number of underclassmen and y represent the number of upperclassmen. Write a system of inequalities that models the situation.b. Graph the solution to the system of inequalities in part a.3. For this one I graphed the equation on a number line. I made
underclassmen x and upperclassmen y.
The number of underclassmen has to fall between 500 and 600 and
inclusive means that it can actually equal 500 or 600. Represent this
with 500</=x</=600
Upperclassmen have to be between 400 and 500. Represent this
with 400</=y</=500
It also says the total number of students cannot exceed 1000
which means they have to be less than or equal to 1000.
Represent this with the underclassmen plus the upperclassmen is
less than or equal to 1000 or in equation form x+y</=1000
The three equations should be:
500</=x</=600
400</=y</=500
x+y</=1000
If you know the minimum x can be is 500 and the minimum y can be
is 400 then you know the minimum number of students in the school can be 900. x
and y together could also get as high as 1100 but it tells you that
upperclassmen and underclassmen together cannot exceed 1000. That means the
number of students in the school must be greater than or equal to 900 and less
than or equal to 1000.
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13 pages
Math Answers
1. Each equation below is to be approximately solved using Newton-Raphson method with the given starting value x0, In each ...
Math Answers
1. Each equation below is to be approximately solved using Newton-Raphson method with the given starting value x0, In each case, use technology to ...
Northeastern University Week 2 Standard Error Statistics Questions
Fully answer each questions. Throughly display all work for each problem. If you have any question, let me know.
Northeastern University Week 2 Standard Error Statistics Questions
Fully answer each questions. Throughly display all work for each problem. If you have any question, let me know.
Queuing questions
Case: Massachusetts General Hospital’s Pre-admission Testing Area (PATA)McCarty, Kelsey, Gallien, et al. (2012, January ...
Queuing questions
Case: Massachusetts General Hospital’s Pre-admission Testing Area (PATA)McCarty, Kelsey, Gallien, et al. (2012, January 3). Massachusetts General Hospital's Pre-admission Testing Area (PATA). MIT Sloan School of Management. Case: 11–116. Retrieved from https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspxIf the hyperlink above does not work directly (you do not need to
register to MIT site), please copy the link below to your browser to
open the case page directly: https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspxThe Pre-Admission Testing Area (PATA) is an outpatient clinic at
Massachusetts General Hospital responsible for conducting preoperative
assessments of surgical patients prior to their procedures. Set in June
2009, this case study describes the conditions of this busy outpatient
clinic prior to a process improvement effort by a collaborative team
of MIT Sloan students and faculty and MGH clinicians and administrative
staff. It also examines the complete PATA experience from both the
patient and provider perspective. The importance of improving PATA is
emphasized through a description of how this relatively small clinic
has a very large downstream effect on the MGH operating rooms and the
entire perioperative care system.You are required to review the entire case study information
available at the reference above and write a paper based on the
suggested case questions below.Construct a process flow diagram of the PATA visit from a
patient's perspective. Calculate the capacity and utilization rate at
each step in the process.Use capacity analysis tools (build-up diagrams or/and queuing) to
decide if and where there is a bottleneck in the clinic. If a
bottleneck does indeed exist, how long do patients wait as a result of
the bottleneck? (As an approximation, assume that all appointment slots
were filled and patients arrived on time.)Evaluate the three Task Force diagnoses - not enough time between
appointments, not enough rooms, not enough physicians. Are these
diagnoses valid? If so, are they primary contributors to long patient
wait times? Why or why not?What factors contribute to variability in PATA process flow and what control, if any, does the clinic have to eliminate it?What changes would you recommend to improve PATA?Use the information provided in the Background readings. Please do any additional research as necessary.Review the information in PATA case study and become familiar with the products and processes.There is no set response to the case questions, so do not hesitate to think outside the box.It is essential to provide a well-written paper with detailed analysis.READ the information provided by the resources and references on the
Background page. Understand the theory and concept of process
management and productivity improvement.NOTE: Cite the references in the Background, as well as additional references you use in your Case paper.The report should be at least 5–6 pagesBackground Reading:Global Text Project (2017), Operations management: Special topic: supply chain management. OpenStax CNX. Retrieved from: https://cnx.org/contents/EEichvM_@5/Operations-management-What-is-Global Text Project (2017), Operations management: The input/output transformation model. OpenStax CNX. Retrieved from https://cnx.org/contents/_yBkSAt4@4/Operations-management-The-inpuMcCarty, Kelsey, Gallien, et al. (2012, January 3). Massachusetts General Hospital's Pre-admission Testing Area (PATA). MIT Sloan School of Management. Case: 11–116. Retrieved from https://mitsloan.mit.edu/LearningEdge/operations-management/PATA/Pages/default.aspx Note - Copy link in your browser for going directly to the reading.Pink, Daniel H.(2001, August 31) Who Has the Next Big Idea? Fast Company Magazine, Retrieved from https://www.fastcompany.com/43595/who-has-next-big-ideaHow the U.S. Dept. of Labor measure productivity. (2017). U.S. Dept. of Labor, Bureau of Labor Statistics. Retrieved from http://www.bls.gov/bls/productivity.htm
please double check and correct this (if need be!)
1. Solve the system of equations below both algebraically and by graphing. Be sure to show all of your work and state yo ...
please double check and correct this (if need be!)
1. Solve the system of equations below both algebraically and by graphing. Be sure to show all of your work and state your solution as an ordered pair.1. The first thing I did was put both equations in the form of
y=mx+b. That way it makes them easy to graph and I will know the slope (m) and
the y intercept (b) of each.
The first equation is already in y=mx+b.
y=1/2x + 5/2 means the slope of this line is m=1/2 and the y
intercept is 5/2.
For the second equation I moved numbers around.
It started off as 3x+2y=1.
First I subtracted 3x from both sides to get 2y=-3x+1.
Next I divided 2 to every term in the equation to get y alone.
You get y=-3/2x+1/2.
Now that this is in y=mx+b form, I know that the slope of this
line is m=-3/2 and the y intercept is 1/2.
Knowing this information it can now be graphed.
I first graphed the line with the slope of 1/2 and y intercept
of 5/2.
The line intercepts the y-axis at 5/2 so there should have a dot
at 5/2 or 2.5
Now from there we need a second point to make the line.
If the slope is 1/2 that means we can either go from this point
UP 2 and RIGHT 1 or DOWN 2 and LEFT 1 and can keep doing this from every point.
Next, I did the same thing for the line where slope is -3/2 (or
-1.5) and has a y intercept of 1/2.
I drew the y intercept first on the y line at the 1/2 point
between 0 and 1.
Since it is a negative slope this time we go either DOWN 2 and
RIGHT 3 or UP 2 and LEFT 3 from each point.
The lines both meet up at the point (-1, 2) so
this is the answer!
Solving algebraically:
I set the two equations equal to each other by substituting one
of the variables.
I have y=1/2x+5/2 and y=-3/2x+1/2.
If y equals that, you can replace y with the thing y equals in
the other equation.
You should get 1/2x+5/2=-3/2x+1/2.
Add 3/2x to both sides and you get 4/2x+5/2=1/2.
Then subtract 5/2 from both sides to get 4/2x=-4/2.
Simplify 4/2 by dividing and you get 2x=-2.
Finally, divide by 2 to both sides and you get x=-1.
Now to get the y variable plug x=-1 back into EITHER equation by
replacing wherever it says x with a -1.
I chose to plug in to y=1/2(-1)+5/2.
Multiplying you get y=-1/2+5/2.
Adding you get y=4/2. Dividing that you get y=2.
Then the answer again is in the form of (x,y) so the answer is (-1,
2) It is the same answer both ways.
2. The population of a country is initially 2.5 million people and is increasing by 0.8 million people every year. The country’s annual food supply is initially adequate for 4 million people and is increasing at a constant rate for an additional 0.4 million people per year.a. Based on these assumptions, in approximately how many years will the country first experience shortages of food?b. If the country doubled its initial food supply and maintained a constant rate of increase in the supply adequate for an additional 0.5 million people per year, would shortages still occur? If so, how many years would it take for shortages to occur? If not, explain.c. If the country doubled the rate at which its food supply increases, in addition to doubling its initial food supply, would shortages still occur? If so, how many years would it take for shortages to occur? If not, explain.2.a). I used the
variable ‘x’ in place of the unknown years:
Current
population is 2.5+0.8x where x is 0
Currently
supply is 4+0.4x where x= 0
2.5+0.8x=4+0.4x
0.8x-0.4x=4-2.5
0.4x=1.5
X=1.5/0.4
=3.75
X=3.75
years is when supply will be equal to the demand of the population
Therefore,
the above 3.75 years there will be shortage of food.
Rounding
off to the next year we have X=4 years this indicates the years that food
shortage will be experienced.
The answer is approximately 4 years.
b. Initial food supply is 4 million
4x2=8
Supply
function
8+0.5x
Using
population function
2.5+0.8x
8+0.5x=2.5+0.8x
0.5x-0.8x=2.5-8
-0.3x=-5.5
X=5.5/0.3
X=18.3333
years
X=18.3333
years this is actually the time supply will be equal to the demand of the
population
Therefore
above 18.3333 years there will be shortage.
Hence 19 years to come it means that there will be
food shortage
c. Supply function 2(4+0.4x) =8+0.8x
Population
function is 2.5+0.8x
Therefore
8+0.8x=2.5+0.8x
0.8x-0.8x=2.5-8
0=-5.5 and this is a false statement
This means that for the rest of the years food will
be adequate.
The negative (-) 5.5 means that each year will have
an additional food for 5.5 million people although it does not increase.
3. Springfield will be opening a new high school in the fall. The number of underclassmen (9th and 10th graders) must fall between 500 and 600 (inclusive), the number of upperclassmen (11th and 12th graders) must fall between 400 and 500 (inclusive), and the number of students cannot exceed 1000.a. Let x represent the number of underclassmen and y represent the number of upperclassmen. Write a system of inequalities that models the situation.b. Graph the solution to the system of inequalities in part a.3. For this one I graphed the equation on a number line. I made
underclassmen x and upperclassmen y.
The number of underclassmen has to fall between 500 and 600 and
inclusive means that it can actually equal 500 or 600. Represent this
with 500</=x</=600
Upperclassmen have to be between 400 and 500. Represent this
with 400</=y</=500
It also says the total number of students cannot exceed 1000
which means they have to be less than or equal to 1000.
Represent this with the underclassmen plus the upperclassmen is
less than or equal to 1000 or in equation form x+y</=1000
The three equations should be:
500</=x</=600
400</=y</=500
x+y</=1000
If you know the minimum x can be is 500 and the minimum y can be
is 400 then you know the minimum number of students in the school can be 900. x
and y together could also get as high as 1100 but it tells you that
upperclassmen and underclassmen together cannot exceed 1000. That means the
number of students in the school must be greater than or equal to 900 and less
than or equal to 1000.
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