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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...

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...

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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...

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...

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)
...

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...

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...

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...

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...

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...

Finance and Accounting Math Problem on Cooperate Finance

4 pages (1000 words)
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...?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...

Capital Budgeting: Cash flow projections of Bauer Industries

3 pages (750 words)
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Free

...Problem 23 a) 3 Problem 23 b) 4 Problem 23 c) 5 Problem 23 d) 6 Reference 8 Problem 23 a) The free cash flow projections of Bauer Industries for the next ten years period are (in million Dollars): Years 0 1 2 3 4 5 6 7 8 9 10 Revenues 100 100 100 100 100 100 100 100 100 100 Manufacturing expenses 35 35 35 35 35 35 35 35 35 35 Marketing Expenses 10 10 10 10 10 10 10 10 10 10 Depreciation 15 15 15 15 15 15 15 15 15 15 EBIT 40 40 40 40 40 40 40 40 40 40 Taxes (35%) 14 14 14 14 14 14 14 14 14 14 Unlevered Net Income 26 26 26 26 26 26 26 26 26 26 Depreciation 15 15 15 15 15 15 15 15 15 15 Increases in Net working 5 5 5 5 5 5 5 5 5 5 Capital expenditures -150... PVs gives us the project’s NPV which...

Aborption Cost Systems

1 pages (250 words)

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...problem of currency fluctuations. Since Boeing is a giant multinational, having its operations and factors of productions spread all across the globe, it is implied that it might face certain difficulties in implementing the different currencies and tax structure of other countries into its management accounting,... ?The has selected a very good example of a manufacturing concern that implements the job order costing system in order to account for the cost of every job completed. In airplane manufacturing, each job, which is supposedly the complete manufacturing of a plane, requires substantial cost which primarily include material and highly skilled technical cost. In addition to that, Boeing has a...

Multiple criteria decision analysis

7 pages (1750 words)
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...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... Bernard’s 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...

Capital structure analysis

3 pages (750 words)

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...Problem 28 3 Prob. a) 4 Prob. b) 5 Prob. c) 5 Prob. d) 5 References 7 Bibliography 7 Problem 28 Info Systems Technology (IST) is a manufacturer of microprocessor chips. The company has 100 million shares outstanding and no debt. Now, IST is supposed to raise capital worth $500 million in order to build a fresh production facility. In the occurrence of a financial distress, the company would experience a great loss of both consumers as well as engineering talents. If IST takes a debt of $500 million, the managers of the company are afraid that the present value of the cost of financial distress would be more than the tax benefits by an amount of $20... ?Capital Structure Analysis Table of Contents Problem ...

Extended Mathmatical Study

8 pages (2000 words)

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...problem known as the Leaning Tower of Lire, or Book Stacking Problem set in the end of the paper.
Geometric sequence has been known in human history from the very ancient times. One of the first researchers to analyse geometric progressions and some of its properties was Euclid (Elements, books VIII and IX). A sequence is called geometric if every of its terms starting from the second can be found as product of the previous term and a number, different from 0 and same for the whole sequence, called common ratio. Mathematically... This paper provides a background research into geometric series. Further on it continues with notions of harmonic series and harmonic numbers in order to investigate the problem ...

A Linear Programming

4 pages (1000 words)

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...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 and distribution. For simplification purposes, the '000 was not included in the process. Hence,
Objective:
Minimize Cost:
Where:
Constraints:
Note that baking of cookies at Milford, i.e., Milfordv, should be at least 25% of the plant's capacity hence, 38.
The Solution
Since the problem involves a production and distribution system, use of the...

Tangled Triangles

4 pages (1000 words)

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...problem by looking back in time and history of this problem. It not only makes our study more interesting, it also throws light on the path that we should follow. It is a well-known fact that for an arbitrary closed... Finding the biggest value of the area to perimeter ratio for triangles Scenario: Tangled Triangles. Two are discussing howto find the biggest value of the area: perimeter ratio for triangles. One of them suggests that this can be done with measurements of 40, 60 and 80- but forgets to say what units were used, and whether they were angles or sides.
Which triangle gives the biggest value for the area: perimeter ratio
Investigate further.
Brainstorming
Let us start investigating this pro...

Financial Analysis 334

2 pages (500 words)

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...problem in paying off its debts. The position of Jones Corporation is also good and it will have no problem in paying off its debts. Since, both firms can pay-off their debts easily given the situation let's now eliminate the illiquid current asset factor from our ratio calculation. In this case, if subtract the stock from current assets, still both companies can pay off their debts quite easily as their Acid-Test Ratio is equal to or greater than 1. This shows that to pay every single dollar of debt the company has the backing of adequate current... Ratio Formula Jones Smith Liquidity Ratio Current Assets/ Current Liabilities 150/100 5 187.5/75 = 2.5 Acid-Test Ratio Current Assets- Stock/ Current...

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