Mathematics Essays

The present value is the current worth of a future sum of money or stream of cash flows. It represents how much the future earnings of an investment are worth today. It is calculated by discounting the future sums

A histogram shows how frequently an event has occurred, and is similar to a bar graph in that there are bars, except there are no spaces between them. The reason why this is done is so that it is easier to see how the bars are related to each other. Stem-and-leaf plots are like histograms, except they are turned on their sides and list all the different values instead of showing bars.

Integration by substitution works as the counterpart to the chain rule of differentiation. (Challis & Gretton, 2010, p. 126-127) Integration is mostly

As part of the design process a sample of eight components was tempered at different temperatures with the following results: 3. A machine produces components whose diameters should be distributed Normally with mean 0.17 cm and Standard Deviation 0.013

Langrage multipliers are helpful when some of the variables in a restraint are redundant (Stewart, 65). For instance, it is not enough to ask, “How can one minimize the gold needed to make a cup?” instead, one

The author states that in a situation of backflushing, maintenance of the membrane is through double pressure. In the use of a single pressure, there will be a need for 10 fluxes to counter the reversed pressure not used this time around. The precision/replication of the data is as a result of the differences in element manufacturing techniques.

Problem: Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern rocker

In equation, it is given by -- where the variables ‘a’ and ‘b’ refer to the length measures of the right triangle’s legs while the variable ‘c’ pertains to the hypotenuse. Applications of Pythagorean Theorem are recognized in various

The pentagram contains the “Golden Rectangle” or a rectangle whose sides form the ratio known as the “Golden Mean.” As what we studied in

The solution in this case is restrained by resources or variables which are shown in its optimal solution. These are X1, X2­, X3, X4, X5, X6, X7, X8, X9, X10, X11 and X12. The major

A car with an engine size less than 1.8L considered as the small engine size car and a car with an engine size greater or equal to 1.8L considered as the bigger engine size cars. The results indicated that there is a strong negative linear

Out of the patients data a certain doctor treated, 45% never died. If a sample of 80 patients is selected from this population of patients, what is the probability that more than 40 patients never died? Kincaid, C. D., Wackerly, D. D.,

The other variable shall be the independent variable, which will explain the changes that will be witnessed in the dependent variable and which

It is important to know the properties of real numbers because their knowledge is a pre-requisite of performing the arithmetic operations including algebra. Properties of the real numbers apply in the

The aim of the investigation is to determine if feel the fear is greater than feel the giant. The analysis part of this report will contain solutions to the three

List all the members of the sets. (Enter solutions from smallest to largest. If there are any unused answer boxes, enter NONE in the last boxes.) 7: Let U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, A = {6, 8, 10, 12},

Explain your graph.  The areas below and above mean value will be equal that is 50%. The area between mean and 1 SD on both sides will be equal to 34.1% and the area

Each night my father would come home and he would empty out all of his change onto the kitchen table. I was drawn to this and began to count the money on the table each night. As a side benefit, this also helped to develop my counting skills. When I started going

Increasing the price of the commodity by 1% resulted to a decrease in point elasticity by 0.06%. In overall, the optimal price was found to be approximately $8, which yielded an optimal revenue of $1550. Management of any given company are

Generally, the property is that Brownian motion is normally distributed with mean 0 and variance t and Brownian motion increment Wt - Ws is also normally distributed with mean 0 and variance (t-s).  What does it mean to say that the Brownian motion is normally distributed with mean 0 and variance t?

I developed this goal of becoming a mathematics teacher at a very young age while I was in my hometown which is Saudi Arabia. During my initial educational years I used to find

A fourth type, resizing, is also considered a type of transformation. However, it involves a change in size of the object (Pierce, 2009). Rotation involves turning the object to any direction on the plane. By doing so, the

Through the point-slope formula, the value of the slope as well as the coordinates of one of the points (0, 330) may be plugged into y - y1 = m(x - x1) to give y - 330 = -3(x - 0) which in the form y = mx + b becomes y = -3x + 330. Then

Yet, the thing is that to be able to use cell phones, one does need to know about the numbers and mathematical symbols so as to be able to use them in the best possible way. Without knowing mathematics, one cannot use smart phones. Similarly cooking

3. It might be possible to pay the current balance off in 20 years if you refinanced the loan at a lower interest rate. The interest rate that you

In essence, MAPM is the foundation for picking an effective or set of pricing models by a firm. In this essay, the researcher purposes to uncover various modern pricing models (MPM) and showcase how useful they are for a particular company based on their financial application and compare each model’s use with the Jump Diffusion Models for options as well as evaluate the volatility smile.

The graph theory originated in 1735, as Euler attempted to solve the Koinsberg bridge problem and later constructed a graphical structure known as the Eulerian graph. The Swiss mathematician developed the

It is a type of a mathematical curve and also, it is among the first fractal to be described. As connoted above, the Koch Snowflake is a fractal. A fractal refers to a pattern that has no end i.e. has a never an ending pattern. They are

An important point is that (f o g)(x) is not necessarily equal to (g o f)(x). We cannot swap the functions because swapping does not always produce the same result. Hence, the composition is not commutative. On the other hand, the product of two functions is always the same. i.e. f(x)*g(x) will always be equal to g(x)*f(x). 

n to be continuous at a value a, it means that not only does a equal the function for a specific input value, it is also the value function approaches both from right and left directions and this limit exists. The three requirements are that, 4) , is the limit that is reached

.14)2+ (36-52.14)2+ (21-52.14)2+

Isaac Newton and Leibniz, who were involved in a row due to the priorities issue over the invention of calculus, invented calculus. The priority issues involved philosophical

All height and distance measurements are in feet. Quadrant I - since the slope of the linear graph is negative, QI would be relevant as both the +y-axis and +x-axis both would enclose the triangular figure with a downward slope. The path of the laser beam may

To define two circulant matrices Rj,1 and Dj,1, we observe the upper right upper side of the circulant matrix. Note that for numbers z with ρ(A) < |z|, we state the result for all the numbers z different from the eigenvalues of A (for which 1/z-λj is defined). The

Save it using your last name and first name. If you are planning to hand write your work, download the PDF document, Lastname_Firstname_quiz2 and write your solutions neatly. Scan it and save it as YourLastName_YourFirstName_quiz2. In either case,

Considering the exercise provided, for the sailing vessel to deemed stable/safe for ocean sailing, capsize screening value that is less than a value of 2 should be achieved. Based on

The numbers are found in the Fibonacci series and their ratio is found to be 1.619. The above examples are not exhaustive and the list is quite long to prove that the human body follows the golden ratio rule. As a teacher, I would like to use Fibonacci numbers to produce beautiful art pieces (The Golden Ratio Project).

From the data obtained, uncertainty estimates are computed and used to draw a graph. The slope of this graph is then used to estimate the value of the gravitational force. This estimated value of

In this assignment, the daily profit recorded in the chain store would be determined by the number of clerks employed. The maximum profit would be determined from the profit function, P(x) = -25x2 + 300x, where: The

As the number of subinterval increases the more the answer get closer to the exact value hence the answer will be more accurate when 100 subintervals are used instead of 10 subintervals. Integrating the above equation will not

I suppose that conversions in the metric system are more convenient since all I have to recall are units ‘meter’ and ‘gram’ for a standard measure of length and for a standard measure of mass or weight, respectively. It is less difficult to recall such basis of measure because on converting from one unit onto the other, the basic unit remains constant and only the prefix.

If this number is in its simplest form and cannot be divided by any perfect square, then we conclude that the radical is in its simplest form and therefore cannot be reduced further. However, if the number under the radical sign can be

Purchasing another copier should be put into consideration because the total amount of revenue lost is practically double the amount of buying a new copier (US$16510.80 vs. US$8000.00). Though there are several limitations to it, I feel confident with my answer. The total number of weeks will not always add up to 1 year's worth, hence it should be taken into consideration.

One observes that the tortoise takes on a sequence of displacement in decreasing order as shown in its capacity to move across 1000 meters then the next 100 m, then 10 m, This creates a decreasing pattern where the next elements can be estimated to be 1, 1/10, 1/100, 1/1000. However, the tortoise appears to move with less and less of a span travelled.

Generally, the five major features of effective internal control include management integrity, competent personnel, safeguards, records maintenance, and segregation of tasks, to mention just a few (Fieldmann, 2014). Missing internal control: Limited access to both records and assets, and Segregation of tasks.

The author states that the equation can be altered to find the value of different variables utilizing basic algebraic principles. The second example of a simultaneous equation used in a business is the equation Y=a+bX which can be used to express the relationship between mixed costs and the level of activity.

To proceed, we note how many digits can be placed in the units place considering the digit in the tens place. Here we are restricted to the digits 1,2,3,4,5 and 6 since the digit 7,8,9 will compromise the whole restriction of

I had always been a little apprehensive about studying Math. However, I found the Math 101 course specifically designed to cater to students like me. All the concepts were explained clearly and in a simple manner so that I could understand them well. This course has given me a strong foundation in basic math such that I am able to understand and appreciate various mathematical concepts in a wider perspective.

Line Z is given as y= -1/2 x+1 and the perpendicular line to the line Z passes through coordinates (4, 2). The Gradient of line Z is -1/2 and y- intercept is 1. The product of gradients of perpendicular lines is -1. Therefore, (-1/2) × (G2) = -1. G2

First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. For the average motorist, one value for g that would be