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College Math Math Problem

2 pages (500 words)

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... Problem a) I constructed the first linear function based on the municipal solid waste data for 1970 and 1997 and the second linear function based on the data for 1980 and 1997. A dependent variable is the annual production of municipal solid waste in million tons. An independent variable is the number of years after 1960.
Based on the municipal solid waste data from the graph, I received such numbers for independent and dependent variables for the models.
Model 1
Model 2
Dependent Variable
Independent Variable
Dependent Variable
Independent Variable
121
10
152
20
217
37
217
37
Model 1:
121 = a + b*10
217 = a + b*37
The solution is a=85.4, b=3.56. Therefore, the first linear function is:
Annual MSW ...

Algebra Math Problem

6 pages (1500 words)
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... Final Project The system of linear equations may be applied to mixture problems in which itemsof various types or grades are sold at distinct values. This is particularly useful for starting entrepreneurs who consider establishing business on a small-scale with simple calculations carried out. Application: Matthew would like to put up a small coffee-bean store selling two special varieties of coffee – Arabica(M) and Robusta(H). He estimates obtaining profit from each kg of Arabica(M) worth $10.50 and from each kg of Robusta(H) costing $9.25. If he desires to have 2500 kgs of bean-mixture sold for $9.74 per kg, how much of each kind must be present in the mixture? Solution: Let x = the quantity of...

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Numerical analysis

6 pages (1500 words)

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... analysis The solution of differential equations often can not be limited to simple trivial methods. A number of equations can be solved analytically including systems of equations and equations of higher degree. But nevertheless there exist a big number of real problems where differential equations which describe the state of real-time processes can not be solved using simple differentiation and integration rules. These types of problems (especially systems of differential equations) are solved numerically using a number of similar algorithms which are based on the principles of numerical integration. The definition of the task "solve differential equation" means "integrate differential equation" so ...

A Linear Programming

4 pages (1000 words)

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... Boola Boola Biscuit Company" A Linear Programming (Operation Management) Case Study Linear Programming is an essential decision making tool inProduction and Operation Management. It is used to determine the most effective way of using an organization's limited resources. {Heizer, Jay and Render, Render. "Production and Operations Management" p.240}. In mathematics, linear programming (LP) problems involve the optimization of a linear objective function (i.e., maximize profit or minimize cost) subject to linear equality and inequality contraints. {"Linear Programming." Wikipedia: The Free Encyclopedia}.
The linear problem at hand is a case of finding the best strategy to minimize cost of production a...

Patterns Withing Systems of Linear Equations

16 pages (4000 words)

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... School School Crest Mathematics HL Portfolio Type I PATTERNS WITHIN SYSTEMS OF LINEAR EQUATIONS Candi Candi Number Examination Session Contents Introduction 2 Part A. System of linear equations formed with arithmetic progressions. 5 Arithmetic progressions 5 Constants in a system of linear equations 5 Searching for a pattern 6 Pattern repeated in other systems 8 Graphing equations with arithmetic progress coefficients 10 Generalize result for systems 11 Extension to systems of linear equations 13 Part B. System of linear equations formed with geometric progressions. 19 Geometric progressions 19 Examining the given systems 20 Relationship between constant within geometric progressions 20 Family of...

Analyse and model engineering situations and solve problems using Ordinary differential equations

10 pages (2500 words)

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... Task Learning Outcome 4 Analyse engineering problems and formulate mathematical model using first order differential equations 1. A heated object is allowed to cool in a room temperature which has a constant temperature of T0: a. Analyse the cooling process. As observed in reality, when such heated object is allowed to cool in a room, the object with an initially high temperature cools to an extent when its temperature becomes relatively bearable to the sense of touch, or that is to say towards a temperature at which the room is similarly felt. This empirical observation coincides to the Newton’s Law of Cooling which states that “the rate of change of the temperature of an object is proportional to...

Cost Benefit Analysis

12 pages (3000 words)
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... Econ 361 DE – Problem Set Two Questions Question a. Use a diagram to illustrate the deadweight loss that, in the absence of government intervention results from information asymmetry. Solution: A deadweight loss refers to specific forms of benefits that consumers or producers lose due to inefficiency within market operations. In most cases such inefficiencies are caused by monopoly pricing or taxation (Brent 89). In other words, a deadweight loss can be termed as the total surplus resulting from market distortion especially from the side of government regulations on prices and in most cases the levied taxes. Asymmetric information can lead to disappearance of markets or rather inefficient allocation ...

Assignment 3 High School Math Problem

6 pages (1500 words)

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... The profits of the firm at three different output levels are the following: Production (units) Profits 40 2800 50 3900 60 4800 a. Find a quadratic function relating production to profits.
General form of quadratic equation: y = ax2 +bx + c
Substituting the given with production(y) as a function of profits(x):
2800 = 1600a + 40b + c (1)
3900 = 2500a + 50b + c (2)
4800 = 3600a + 60b + c (3)
We now have a system of linear equations. Rearranging and forming the matrix, we have:
B3_3 = 1600 40 1 2800
2500 50 1 3900
3600 60 1 4800
S...

Multiple criteria decision analysis

7 pages (1750 words)
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... Bank Selection using MCDA This project is about Bernard who would does not know the best bank to take a mortgage with. Therefore, he decides to use MCDA to help him select the best bank. He therefore lists the important factor to consider when selecting the bank as: - 1) interest rate 2) Flexibility in payments 3) duration 4) Guarantees. In connection to this the main aim of this project is to use MCDA to solve the problem.
Contents
Contents 3
1.0 Introduction 4
2.0 Aim 4
3.0 Objectives 4
4.0 Background of MCDA 5
5.0 Methodology 5
6.0 Main assumption 5
7.0 Results 6
7.1 Interest rate analysis 6
8.0 Discussion and Sensitivity of results 6
8.1 Multi – Criteria Decission Analysis 6
8.1.1Legal cost. 7
8...

Projects 1,3,5

3 pages (750 words)

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... and box number here) February 15, (MA120) Project Life Cycle Dishwashers There are two different styles of appliances available, regular and energy efficient. To determine which is truly the better deal, a comparison and contrast of the two different styles needs to be performed. The Hotpoint Front Control Dishwasher in White is $289.00 at Home Depot. It is not classified as energy efficient. The GE 24in. Front Control Dishwasher in Black with Steam PreWash is on sale this week for $359.10 at Home Depot, from a normal price of $399.00, and is classified as energy efficient. Both of these particular dishwashers are 24 inch dishwashers, which makes them comparable. They both offer front control...

Decision-Making Models

22 pages (5500 words)
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... Models
Probabilistic simulation
Part A
The results in the Table 1.7 were generated with the use of Monte Carlo simulation. According to Heizer and Render (2006) Monte Carlo simulation involves carrying out chance related experiments using random sampling techniques. The technique revolves around five (5) simple steps. These steps are:
i. Setting up a probability distribution for each of the three variable – material cost, labor cost and utilities cost
ii. Preparing a cumulative probability distribution for each of the three variables
iii. Establishing random number intervals for each of the three variables
iv. Generating random numbers
v. Simulating a series of trials – in this case ten (10) trials...

Mathematical Tasks

8 pages (2000 words)

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... Head: ICT MATHS Discuss your own work on three of the mathematics tasks in Chapters 2, 3 and 4, using no more than one task from any one chapter
Name:
University:
Course:
Date:
Tutor:
Date:
Working on mathematical tasks involving geometric thinking, as experienced in various tasks, falls under different levels of difficult from learner to learner. For example, there are problems those mere calculations in order to arrive at conclusions, while there are problems that need applications of mathematical concepts and problem solving techniques in order to arrive at a solution. These latter problems may be tricky and hard to conceptualize but with a clear basis and knowledge of different types of probl...

Theorem of Pythagoras in Mathematics

12 pages (3000 words)

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... Head: Theorem of Pythagoras in Mathematics The importance of the theorem of Pythagoras in the Historical development of Mathematics
By
_________________________
The importance of the theorem of Pythagoras in the historical development of Mathematics
The Theorem that changed the fortune of Mathematics and Geometry, the Pythagoras Theorem states:
"The square described upon the hypotenuse of a right-angled triangle is equal to the sum of
the squares described upon the other two sides". (1)
The philosophy of mathematics begins with Pythagoras, who later developed Pythagoras Theorem. While believing that mathematics gave us the key to understand reality he proved that mathematics is known a prio...

Math Problem

3 pages (750 words)
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... Problem a) Using synthetic division: -3 3 5 -6 18 -9 12 -18 3 -4 6 0 2 3 -4 6 6 4 3 2 10 As zero remainder is received when dividing by -3, x = -3 is a zero Division by 2 produced the non-zero remainder and, therefore, x = 2 is not a zero.
b)
-4
3
11
-2
8
-12
4
-8
3
-1
2
0
2
3
-1
2
6
10
3
5
12
As zero remainder is received for the synthetic division by -4, x = -4 is zero and (x+4) is the factor of the given polynomial. However, the subsequent division by 2 produced the non-zero remainder. x=2 is not a zero.
2.
a) For f(x) = 2x 3 -5x2-4x+3 from the Rational roots test we can suggest that +/-3 (multiple of the factor 3/2) can be the possible solutions. Using synthetic division we find ...

College Math Master Math Problem

2 pages (500 words)

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... Math Written by Bipin Musale We first try to solve the first problem. In one rotation of the wheel the distance traveled by it when it rolls along a road is equal to the circumference of the wheel. In other words when the wheel travels a distance equal to its circumference it completes one rotation.
Therefore, the number of rotations when the wheel with diameter of 15 inch travels a distance of 2000 miles is approximately equal to (2000 X 1760 X 3 X 12) / (3.14 X 15) i.e. 2,690,446.
The number of rotations when the wheel with diameter of 16 inch travels a distance of 2000 miles is approximately equal to (2000 X 1760 X 3 X 12) / (3.14 X 16) i.e. 2,522,293.
Since the number of rotations for the whee...

Maths problem

1 pages (250 words)

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... Question i) Given Let So that And dx = 2udu Substituting these values to the first term: Replacing u withThe definite integral is thus
ii) Given
Let y = x+2
And thus dy = dx
Substituting for y and dy
Then
Let u = ln y
Then
Substituting for u and du
Therefore
= 5(ln y)2 + c
= 5 [ln(x+2)]2
iii) Given
Let u =
Hence
Recall that u =
= (6.93 – 13.86) – (3.77 -11.31)
= -6.93 – 7.54
= 0.61
iv) Given
Expanding the denominator
Since the denominator is a quadratic equation, the integral becomes:
Question 2
Given
Inverse Supply function as P=6 + Q2/4 and inverse demand function P= 51-Q2
Graphically, consumer and producer surplus are indicated as below.
As shown in the diagram above,...

Microeconomics Math Problem

2 pages (500 words)

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... Total Revenue = 200 * 40 = $8000 Total Costs = 2 2 4 = $10,000 Fixed Costs = 2+2 = $4000 Total Variable Costs = 4 1 = $6000 Overall Loss = 8000-10000 = ($2000)
Looking at the data, one might say that it is not feasible for the company to be flying between the two cities as it implies a loss of $2000 (Total Revenue - Total Cost). However, rationality of the situation according to the economic analysis is that the firm should continue to operate and should fly between the two cities in the short-run. The rational behind this decision is the fact that in this case firm is covering all its variable costs and generating revenue which is greater than total variable costs. This means that firm is contribu...

Problem Solving-Research Paper

3 pages (750 words)
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Free

... 2. Define population, sample, parameter and statistic; concepts of population and sample Population refers to the set of all individuals which the researcher wishes to study. Sample is the group of individuals which is a subset of the population who are selected for the study. For the results of the study conducted on the sample to be held true for the entire population, the sample should be a representative sample – that is, it should possess the same characteristics as the entire population, or as close to it as possible. A statistic is a characteristic that describes a sample; a parameter is a characteristic that describes a population. The statistic for a sample usually corresponds in value to...

MATH Math Problem

1 pages (250 words)

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... Answers for multiple choice questions are highlighted in yellow Exam Part II Start 29 Oct 2008 at 11:00 PM Due Nov 2008 at 01:00 AM
Student Access after Due Date: No
Graded: Yes
E3-6
Affleck Company accumulates the following adjustment data at December 31.
Instructions
For each of the items indicate the following.
(a) The type of adjustment (prepaid expense, unearned revenue, accrued revenue, or accrued expense).
(b) The accounts before adjustment (overstatement or understatement).
1. Services provided but not recorded total $750.
2. Store supplies of $300 have been used.
3. Utility expenses of $225 are unpaid.
4. Unearned revenue of $260 has been earned.
5. Salaries of $900 are unp...

Corporate Finance Math Problem

8 pages (2000 words)

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... FINANCE TABLE OF CONTENT PAGES Mini-Case 03 Free Cash Flow 05 Uses of FCF 05 Mini Case II 11
Mini Case 3 16
Mini Case 4 25
Mini Case 5 39
Mini Case 1:
Ans 1): After comparing the financial records of both years, we observe that the expansion didn't come up with a positive result because the company envisaged a big loss after it enjoyed profit a year before.
SALES IMPACT
2006
2007
Sales $
3432000
5834400
Difference = (Sales 2007-Sales 2006)
2402400
Percentage Increase/Decrease = (Difference/Sales 2006)
70
However, as far as the sale is concerned, then we can see from the financial statement that the sales are surged by $2.4 million or 70% FY 2007 as compare...

Revenue Math Problem

3 pages (750 words)

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... Revenue Introduction The importance of forecasting cannot be adequately emphasized. The information obtained from the hotel association outlook for the future as well as other industry information is very useful in determining the revenues that can be achieved based on the economic situation in the industry and in the environment generally. The property information indicates that this hotel is very distinct from its competitors. It has a superb architecture that if properly highlighted will not only woe customers but provide a opportunity for a higher average daily rate (ADR) than its competitors. Even though the property has never been renovated none of the hotels in its rating category has any...

Automation Tools Math Problem

11 pages (2750 words)

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... a VBA might be created within Excel by recording a macro. Even so it often proves necessary to resort to hand coding. Provide threeexamples where hand coding rather than recording a macro is required to accomplish a particular task. You might wish to consider for example the use of variables or how 'selection' and 'iteration' are accomplished.
Answer 1(a):
1. The below code snippet puts the system's current date and time value in cell B1 of active sheet, whenever the workbook, containing this code fragment, is opened.
Private Sub Workbook_Open()
Dim d As Date
d = Now()
ThisWorkbook.ActiveSheet.Range("B1").Value = d
End Sub
Output:
2. The below code snippet selects the used range of th...

Managing Finance Math Problem

4 pages (1000 words)

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... Part (a Fixed Costs = Rate + Advertising + Maintenance + Salaries & wages + Heat & Light + Administration + depreciation of hotel andrenovation per year
= 400,000 + 300,000 + 59,000+ 1,500,000 + 250,000 + 291,000 + 2,800,000
= '5,600,000 annual or '15,385 per day
Number of Estimated Sales = (100 rooms * 70%) = 70 rooms
Contribution Margin per unit = Fixed costs/number of estimated sales
= 15,385/70
= '219.785
Variable Costs per guest per night = Breakfast + Evening Meal
= 2 + 6
= '8
The price charged by hotel per guest night should be = 219.785 + 8
= '228
Part (b):
Suppose the sales of the consortium at breakeven is = (228 * 70)*...

Personal Finance Concepts Math Problem

2 pages (500 words)

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... Review your tax return for last year and answer the following questions: Let's assume that the tax rate in my is 9% and my incomeis roughly $50,000 a year.
Could any income have been deferred to this year If so, how much tax could have been saved Multiply the amount deferred by 15% or 28%, depending on your tax bracket.
Yes, about $5000 could have been deferred. The amount of tax saved thus could have been
450 dollars multiplied by 15% according to my tax bracket.
(45000*.09=4050 4500-4050=450 450+(450*.15)=517.5)
Could you have reduced taxes on dividend income by moving part of your investments to tax-free municipal bonds If so, how much tax could you have saved
If I had moved $...

CASE PROBLEM 1 WAGNER FABRICATING COMPNAY.docx

2 pages (500 words)

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... Greenberg October 22, 2008 Wagner production analysis Should investment capital be used to create increase production of Part(p) now ordered from outside sources. Gross savings on production at a price of 17 $ versus 18 $ would result in a savings of 12853 $ however after allowing for 2 week inventory safety margin backup supply the savings would be decreased by 4250$ with holding and insurance costs continuing. If investing in this new production is solely based on the production of part p we would not advise investing in increased production facilities.
However it has been determined that out of the 250 day work year 22 cycles or production runs would need to be made keep a steady production util...

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