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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....

Algebra Math Problem

6 pages
(1500 words)
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...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... Final Project The system of linear equations may be applied to mixture...

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Assignment 3 High School Math Problem

6 pages
(1500 words)

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...problem, we need only to input t and compute for theoretical MW. Then we compare this to the actual MW.
Time (t)
Actual MW
Theoretical MW
Percentage Error (%)
0
50,000
50,000
0
1
50,000+10,000 = 60,000
59754.12
0.41
2
70,000
69,032.52
1.38
Since the percentage error is very small, we can confidently accept the model.
b. Plot the graph and identify... 1. 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)
...

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...

College Math Master Math Problem

2 pages
(500 words)

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...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... College Math Written by Bipin Musale We first try to solve the first...

Maths problem

1 pages
(250 words)

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...Integration 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... Question...

Managing Finance Math Problem

4 pages
(1000 words)

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...QUESTION 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... Part (a Fixed Costs...

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... Revenue...

Corporate Finance Math Problem

8 pages
(2000 words)

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...CORPORATE 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... FINANCE...

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... 2. Define...

Microeconomics Math Problem

2 pages
(500 words)

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...1) 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...

Misleading Statistics: Math Problem

3 pages
(750 words)

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...? Misleading Statistics al Affiliation Misleading Statistics Statistics refers to a discipline that deals with the collection and analysis of raw data, for the purpose of making decisions regarding the entire population (Bluman, 2005). This is a significant area of mathematics that creates meaning from data to enable people draw conclusions. Statistics is applicable in a number of fields, including agriculture, education, military, medicine, gambling, just to mention a few. Sometimes statistical interpretations can mislead people on the characteristics of data due to insufficient information or lack of information altogether. Statistics can mislead people because they fail to represent... Misleading...

Automation Tools Math Problem

11 pages
(2750 words)

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...Question 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... a VBA might ...

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... Answers for...

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... Review...

CASE PROBLEM 1 WAGNER FABRICATING COMPNAY.docx

2 pages
(500 words)

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...Theodore 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... Greenberg...

Numerical analysis

6 pages
(1500 words)

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...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... Numerical analysis The...

A Linear Programming

4 pages
(1000 words)

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...Solution
Since the problem involves a production and distribution system, use of the Transportation Method in Linear Programming is the best way to solve this. {Heizer, Jay and Render, Render. "Production and Operations Management". pp. 373-399}. A dummy destination is required since the production capacity is greater than the demand. {Heizer, Jay and Render, Render. "Production and Operations Management". p381}
Methodology... "The 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. ...

Finance and Accounting Math Problem on Cooperate Finance

4 pages
(1000 words)
, Download 1

...?Question The total cost of the trip is $10,000. However in order to have the total amount for the trip; there are two ways to accumulate the amount; contribution from the parents and gift from Aunt Hilda. The contribution of the parents would be $5,000. As this investment would be required in some future time, therefore the future value of the investment will be calculated. Future value shows the future worth of the money invested today after some specific period of time (Ross, Westerfield, and Jordan, 2009). Contribution from the parents would be invested at 6% annually for a period of 3 years. However the remaining amount will be raised from Aunt Hilda’s gift. So, at the moment... The total cost of...

Patterns Withing Systems of Linear Equations

16 pages
(4000 words)

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...solution for system that follows the pattern found 23 Graphical prove of the pattern found 25 Conclusion. 26 Introduction Algebra is one of the fascinating fields of mathematics, because algebra allows the finding of unknown numbers from information given. In algebra, letters are used in place of numbers that are not known. These letters are then manipulated in accordance with certain rules until an answer appears. The usual letter for the unknown number is. A real problem can be written as: This is called an equation because there is a sign. In order to find the value of the unknown number, algebra’s rules can do whatever it likes... Autograph and Maxima packages (see Figure 1) is quick and...

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

10 pages
(2500 words)

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...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... Task Learning Outcome 4 Analyse engineering...

Cost Benefit Analysis

12 pages
(3000 words)
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...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... Econ 361 DE –...

Multiple criteria decision analysis

7 pages
(1750 words)
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...solution from the units.
MCDA consists of the following parts;
Evaluation criteria
Goal
Decision alternatives
Outcomes.
Therefore in order to solve the problem, Bernard decided to collect some literature review on the most important factors to consider when taking a mortgage.
5.0 Methodology
Data collection; He went to the internet and found out that the most important factors to consider when taking a mortgage are: Legal costs, Valuation, mortgage arrangement fees, mortgage rates, portability, and mortgage related insurance (Jones 2006, pg. 47).
6.0 Main assumption
Bernard has the minimum qualifications necessary to take the loan.
Using MCDA tool to solve the problem.
7.0... Bernard’s Bank Selection ...

Projects 1,3,5

3 pages
(750 words)

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...problem are the man-days available per week, which vary depending on shop and task. The objective function of this particular equation is to determine the best way to maximize profits based upon vehicles produced. Solution: Let x be the number of trucks and y the number of cars to be produced on a weekly basis. 5x + 2y

Mathematical Tasks

8 pages
(2000 words)

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...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... Running 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 pr...

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