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Ruane William reported that in December 2011, the tax of the wealthy citizens who earn more than $388,350 paid 35% of their total earnings as tax (7). He further explained that the value of tax was increased only for wealthy Americans but lowered for middle-class citizens who get a 10% deduction on income worth $12, 400 as income tax (8).
This experiment seeks to dissect all the possible attributes that can increase the efficiency of the PHC helicopter in terms of limited flight time. The task involves planning, running, analyzing and reporting the results of
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The interaction between linear algebra and and digital signal processing has resulted in development of new algorithms in digital processing. This is basically focused in development of linear algebra tools which include things like recursive least squares, total
This improper fraction can be further simplified by finding the quotient of the equation, which is a number with a decimal point, 16.5 (Szecsei, 2006)
Simplifying the square root of 100 will be equal to finding the
He became famous from creating mathematically challenging artwork. The tools he used in his drawings were simple, and naked eyes, however he managed to create stunning mathematical work. He mainly focused on division of plane and played around with spaces
A car insurance company conducted a survey to find out how many car accidents people had been involved in. They selected a sample of 32 adults between the ages of 30 and 70 and asked each person how many accidents they had been involved in the past ten years. The following data were obtained. It constructs a frequency distribution.
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The states that are involved include bounded states and the sequential steps of motions. The immediate consequence of the global boundedness is mainly the invariant measure of the state space that represents a normal distribution. Therefore, the global boundedness makes the normal distribution ubiquitous for the underlying natural systems.
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The author states that without mathematics, engineers, programmers, architects and other technology oriented professionals will not be able to formulate the basic algorithm in creating technology nor will they be able to build any structure that will facilitate technology and it follows that a given country will not have anything to engage in trade.
4.75 hours is equal to 4 hours and 45 minutes.
At 12:45, I have a bottle of Coca Cola with my lunch, which approximately contains 70 mg of caffeine. The total caffeine in my body after that is
ent, therefore from them we positive gradients while A and C have negative gradients, therefore from them we locate the one with the properties: y = y-intercept =-4; m = gradient = -2.
The x-intercept is the point at which the line cuts the x-axis, that is the point where x=0,
Mathematics is the study of relationships that exist among magnitudes, quantities, and properties. The relationship equally exists in logical operations where magnitudes, quantities, and properties that are unknown may be inferred. Mathematics came into existence a long while ago and has gone through various steps of growth to get to what it is today.
Among the prominent names that frequently feature in the discovery of the binomial coefficients in the Chinese culture is that of Chia-Hsien. Chai Hsien is known to have held a military office in
He is best remembered for his contributions to the number theory in mathematics, and his responsibility as a clearing center for communication between reputed scientists and philosophers (Bernstein, 1996).
Rene Descartes and Pierre de Fermat might
The percentage is a portion of a given variable, which represents the quality of a variable (Deitz, 2013). The Rate has assign, which signifies the percent of the variable in the quest. The base is the original amount of the variable under consideration. The three parts constitute a percentage problem.
hand, when the customer promises to pay at a future data, the company records a debit to accounts receivable and a credit to revenues or sales (Dyson, 2010).
Under the matching concept of accounting, the costs and expenses are matched to the sales generated by the costs and
Pythagorean Theorem is highly effective and easy to use as compared to the other mathematical tools. For measuring the length of each road, the odometer tool of car or other motor is used. For determining the distance, no other geometrical tool is required. Global Positioning System (GPS) navigation is used in the modern-day.
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There are two of the decisive branches of Game Theory, which include Cooperative and Non-Cooperative Game Theory (MIT, “Game Theory”). One of the sub theories of Game theory is the Folk theorem, which is extensively prevalent in the study of
He founded a school in his period and promoted studies in “music, geometry, and astronomy” (Svarney and Svarney, p. n.p.).
Pythagoras’ development of music ratios is traced to a real life experience in which he heard varying
2- You are setting up a PCR reaction and the protocol asks you to add 0.2ng of DNA to the reaction. You have a sample of DNA which is 3mg/ml. Describe your approach to adding the same volume in parts per million to the reaction? Be specific, describe your
Find this earthquakes magnitude on the Richter scale. (Round your answer to the nearest tenth.)
16: An artifact was found and tested for its carbon-14 content. If 71% of the original carbon-14 was still present,
I will present the topic of area under a curve. This report explores whatever I presented to the class, and the discussion of area under a curve in depth.
Area
We have learnt that the increments by a constant number give an arithmetic sequence. This is the reason why we chose an arithmetic sequence to solve Exercise 35 as the labour cost was increasing by a constant number 25 in that case. Similarly, a constant ratio between successive terms gives a geometric sequence.
What is the maximum number of refrigerators that could also be delivered in the same truck?
Based on the problems solved above, the inequality equation was obtained
Solid models as the digital representations of existing or imagined physical objects are called are used in almost every sphere of life today from a great variety of design and manufacturing activities like computer-aided design and engineering analysis to animation, medical testing, visualization of scientific research and so on.
The cash was obtained from an owner investment by Peter Houston of $70,000 and a $30,000 notes payable. Shortly thereafter, the company acquired selected assets of a bankrupt competitor. The
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Borwein and Borwein derived a class of algorithms based on the theory of elliptical integrals that yielded very rapidly convergent approximations to elementary constants such as π, e, and root2 (Borwein et al. 562). Using this class of algorithms, they discovered a general technique for obtaining a higher-order convergent algorithm for π.
Since the analysis has not mentioned any stipulated time frame hence we consider one year as the time period of speculation. It is seen that mostly BT Group plc has positive returns in comparison to the market except
The highest value of integer exponent determines the degree of polynomial expression. Nonic degree polynomial functions are those functions that have highest degree of 9. Consider the following equation:
Prediction # 2: The graph of nonic degree polynomial
The author states that the required volume V is 20m3 and side x is 4m and the cost of the vessel depends on the surface area. The problem is to minimize the surface area to reduce the cost of the vessel. You should plug the values of volume and side in the volume equation to get an equation in terms of hand band make h the subject.
Show your work for calculating the interest for both options. (10 points)
Willie owns and manages a number of real-estate rental properties in town and enjoys being his own boss. At 46 years old, Willie figures he would like
The average annual tuition (plus expenses) at a private nonprofit four-year college is about $35,000 and at a public four-year college is about $18,000 (The Average Cost of a U.S. College Education, 2010). Thus, grandma’s
She has excellent curriculum vitae with a high grade point average and a strong record of campus participation in clubs and activities.
As a result, she has had a number of good interviews with various companies. She now has
When a function has a factor which is a multiple of two or an even, then the graph will just touch the x-axis at the point satisfying its roots and will turn around. Therefore, the graph will remain on the same side of the x-axis.
An example of a
Analysis of the question indicates that it is a geometric sequence, since the compound interest formula is an example of a geometric sequence. A geometric sequence can be defined as having a constant ratio between terms, with the first
For instance a problem could be 5(4a + 6b + 7a). In such a problem we are supposed to remove parentheses and proceed to solve it. The steps followed will be;-
Using factorizing method. We get two numbers where when you multiply them you get (2*-20)
The Commerce Department provided statistical information stating that consumer spending in the third quarter has increased by 0.4% in July. These statistics seem misleading considering the released statistical information by the Labor Department stating an increase in first-time applicants of unemployment benefits by over 1500 in the last four weeks.
That is; given f(x) a continuous function moving from a to b (fixed intervals [a, b], suppose its indefinite integral is F, the definite integral is F (b) – F (a). Thus;
The second part of this theorem clarifies that, no
Mathematical modeling is an approach to describing different phenomena of nature, society, and human activities using various mathematical formulas. Mathematical modeling describes real-world issues. These issues may relate to science, engineering, economics, sports, financing, and many other disciplines.
In as much as mathematical modelling is mathematics, it is also a theoretical science, thus offers mathematical answers to both narrow questions requiring numerical
In disciplines such as engineering, economics, computer science, social sciences, and natural sciences, mathematical modelling application is inevitable. This is because such models offer the most crucial form of knowledge to assist in understanding the system. Some forms of mathematical models include statistical and dynamical models and differential equations among others.
The author states that the marginal rate of substitution is the slope of the indifference curves and is negative and constant when considering perfect substitutes. As mentioned above, the marginal rate of substitution for perfect substitutes is constant and does not satisfy the diminishing marginal rate of substitution property.
Having one class on Friday gives me enough time to chill with friends and welcome the weekend. Moreover, my latest classes end at 5.30 p.m. I do not have evening classes and I can spend my evening time playing soccer with friends. The
As such, he named the financial model after himself, the Heston Model. As such, he was able to develop a model that provided pricing options with a closed-form solution in an attempt to overcome
The report will involve finding the exact solutions to the mathematical problems asked.
Mathematical modelling is a representation of how several variables relate significantly to a specific problem or
The sequence of is positive and monotonically rising because for all values of and so the series has a limit by Monotone Convergence Theorem. This shows that the sequence converges.
Supposing diverges. Because are negative terms, the only way that
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c procedure, that involves summation and subtraction of numbers between 100 and 999 whose first and last digits have a difference of more than two, the result is always 1089. This has attracted a lot of curiosity in mathematics hence the wide use of the number in magical tricks.
4. (a) Linear programming is a technique used to compute the maximum or minimum value of a function. This is the value that satisfies a precise set of conditions known as constraints. Constraints refer to the inequalities in a linear