One concept that I have chosen is percentages. A percent is a fraction that has a denominator of 100. Finding the percent of a number, and finding the missing percent could be very useful in the profession that I have chosen. The profession that I would like to pursue is accounting. Using percentages is used in many ways in accounting. One way is to do a trend analysis. A trend analysis calculates the percentage change for one account over a period of time of two years or more. An example of this would be to do a trend analysis on the accounts receivable account, in 2010 the net accounts receivable was $18,748 and in 2011 the net accounts receivable was $19,212. To find the increase or decrease for that period you start by subtracting the later year by the earlier year, second divide the change by the earlier years balance, the result is the percentage change. $19,212 - $18,748 = $464. $464/$18,748 = 2.5%.

Another concept that could be used in an accounting profession is combining like terms. Like terms are terms that have identical variables and exponents. Like terms must have exactly the same letter parts. Using like terms may not be exactly the same in accounting as in algebra, but it is the same concept. You can only add things to the same accounts; you cannot add a cash total balance to an insurance expense account. An example of combining like terms in accounting is having $600 spent on rent, $350 spent on supplies, $75 spent on insurance expenses, and $123 spent on supplies. You cannot add all of the numbers together they are different accounts the only two that can be combine are the two supplies expenses. $350+$123=$473 on supplies. Reference:

...Algebra is a way of working with numbers and signs to answer a mathematical problem (a question using numbers)
As a single word, "algebra" can mean[1]:
* Use of letters and symbols to represent values and their relations, especially for solving equations. This is also called "Elementary algebra". Historically, this was the meaning in pure mathematics too, like seen in "fundamental theorem of algebra", but not now.
* In modern pure mathematics,
* a major branch of mathematics which studies relations and operations. It's sometimes called abstract algebra, or "modern algebra" to distinguish it from elementary algebra.
* a mathematical structure as a "linear" ring, is also called "algebra," or sometimes "algebra over a field", to distinguish it from its generalizations.
A variable is a letter or symbol that takes place of a number in Algebra. Common symbols used are a, x, y, θ, and λ. The letters x and y are commonly used, but remember that any other symbols would work just as well.
Variables are used in algebra as placeholders for unknown numbers. If you see "3 + x", don't panic! All this means is that we are adding a number who's value we don't yet know.
Term: A term is a number or a variable or the product of a...

...Cami Petrides
Mrs. Babich
Algebra Period 4
April 1, 2014
Extra Credit Project
12. When you flip a light switch, the light seems to come on almost immediately, giving the impression that the electrons in the wiring move very rapidly.
Part A: In reality, the individual electrons in a wire move very slowly through wires. A typical speed for an electron in a battery circuit is 5.0x10 to the -4th meters per second. How long does it take an electron moving at that speed to travel a wire 1.0 centimeter, or 1.0x10 to the -2nd?
Part B: Electrons move quickly through wires, but electric energy does. It moves at almost the speed of light, 3.0x10 to the 8th meters per second. How long would it take to travel 1.0 centimeters at the speed of light?
Part C: Electrons in an ordinary flashlight can travel a total distance of only several centimeters .suppose the distance an electron can travel in a flashlight circuit is 15 centimeters, or 1.5x10 to the -1st meter. The circumference of the earth is about 4.0x10 to the 7th meters. How many trips around the earth could a pulse of electric energy make at the speed of light in the same time an electron could travel through 15 centimeters of a battery circuit in 5.0x10 to the -4th meters per second?
For part A, the first step is to put (5.0) to the 10th to the -4th. The numerator would be (0.00050) if someone were trying to put 5.0x10 to the -4th in the form it’s supposed to be in. For the second scientific...

...Gas law Experiment
Anna CunananProfessor Stewart
Chemistry 400 T/TH 1:30 PM
18 March, 2014
Objectives: In this Experiment, we will be decomposing KClO3 into two different compounds, KCl and O2. We are given a known mixture that has MnO2 in it to act as a catalyst. When decomposing KClO3 it releases O2 gas, which we then collect into the Erlenmeyer flask. The gas then displaces the water into the beaker, which we can then calculate the water evolved. The first method we use to determine the percent composition is Gravimetric. With this method we use the mass of the reactant and the mass of the product. Another way to acquire the percent composition is by the Volumetric Method. This method requires measuring the water displaced by the O2 gas. If the experiment is done correctly, we should be able to calculate the percent composition of KClO3 by using both methods.
Theory: This experiment requires us to use both the Gravimetric and Volumetric methods in order to acquire our percent composition. Since all gasses at Standard Temperature and Pressure contain one mole for every 22.4 L of gas, we can use stoichiometry to figure out how many moles of reactant we began with. Considering the room is at constant temperature change, the volume of the gas varies. Thus we convert the volume of gas used to STP conditions.
Procedure:All means and materials were conducted as advised accordingly to Experiment 6 found on pages...

...Name/Student Number:
Algebra 2 Final Exam
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Simplify the trigonometric expression.
1.
a.
b.
c.
d.
Answer B
In , is a right angle. Find the remaining sides and angles. Round your answers to the nearest tenth.
2.
a = 3, c = 19
a.
= 9.1°, = 80.9°, b = 18.8
c.
= 14.5°, = 75.5°, b = 18.8
b.
= 80.9°, = 9.1°, b = 18.8
d.
= 75.5°, = 14.5°, b = 18.8
Answer A
3.
What is the simplified form of sin(x + p)?
a.
cos x
b.
sin x
c.
–sin x
d.
–cos x
Answer C
Rewrite the expression as a trigonometric function of a single angle measure.
4.
a.
b.
c.
d.
Answer A
Short Answer
5.
Consider the sequence 1, , , , ,...
a.
Describe the pattern formed in the sequence.
b.
Find the next three terms.
6.
Consider the sequence 16, –8, 4, –2, 1, ...
a.
Describe the pattern formed in the sequence.
b.
Find the next three terms.
7.
Consider the graph of the cosine function shown below.
a. Find the period and amplitude of the cosine function.
b. At what values of for do the maximum value(s), minimum values(s), and zeros occur?
Verify the identity. Justify each step.
8.
sinΘ/cosΘ+cosΘ/sinΘ
sin^20+cos^2Θ/sinΘcosΘ
1/sinΘcosΘ
9. ...

...Animal Kingdom
The animal kingdom is a taxonomic kingdom composed of multicellular, eukaryotic organisms. Mostly, their body structures become fixed as they develop, yet still some organisms in this kingdom have the ability to undergo metamorphosis. The majority of these organisms are motile, which means they can move on their own and with spontaneity. All animals are heterotrophic, which implies that they depend on other organisms for food. Animals live in places that provide their necessities to survive, called habitats. These basic necessities include food, water, protection from the environment, and appropriate space. In accordance with these necessities, there are a number of survival techniques used by organisms in this kingdom. These techniques can fall within the category of adaptations, which help these organisms adapt to various habitats. This kingdom falls in the domain Eukaryota, and there are nearly 40 different phyla that can be classified under the Kingdom Anamalia. Besides that there are 5 other lower levels in which these organisms can be classified, called class, order, family, genus and species. .
Invertebrates
Invertebrates are apart of the Animal Kingdom and are characterized by their inability to possess or develop a vertebral column. In the world of taxonomy, the word invertebrate is merely a convenient term used to help with this characterization. A great majority of the animal kingdom are invertebrates due to the fact that only...

...
Name: _________________________
Score: ______ / ______
Algebra I Quarter 1 Exam
Answer the questions below. Make sure to show your work when applicable.
Solve the absolute value equation. Check your solutions.
| 5x + 13| = –7
5x + 13 = -7
5x = -20
X = -4
Simplify the expression below.
6n2 - 5n2 + 7n2
6 – 5 + 7 = 8
=8n2
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Write an equation that models the cost of each bracelet.
8 x + 6 = 54 $8.00 each bracelets
The total cost for 8 bracelets, including shipping was $54. The shipping charge was $6. Determine the cost for each bracelet. Show your work
8x+6 =54
8x=54-6
8x = 48
X = 6
Solve the inequality. Show your work.
6y – 8 ≤ 10
5. 6y – 8 ≤ 10
6y ≤ 10 +8
6y ≤ 18
y ≤ 18/6
=y ≤ 3
The figures above are similar. Find the missing length. Show your work.
x = 1.8 in
What is 30% of 70? Show your work.
30 divied by100 = .30
70 times 0.3(30% as a decimal) which will be 21
=21
Simplify the expression below.
-5-8
(16x9)/(21x8)=144/168 divided by 12=12/14=6/7
8. 6/7
Which property is illustrated by 6 x 5 = 5 x 6?
commutative property of multiplication
Evaluate the expression for the given values of the variables. Show your work.
4t + 2u2 – u3; t = 2 and u = 1
4t + 2u2 – u3; t = 2 and u = 1
4 (2) + 2 (1) 2 – (1) 3
8 + 2 – 1 = 1
Solve the...

...Review of Algebra
2
s
REVIEW OF ALGEBRA
Review of Algebra
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
Here we review the basic rules and procedures of algebra that you need to know in order to be successful in calculus.
Arithmetic Operations
The real numbers have the following properties: a b b a ab a b c a b ab c ab ac In particular, putting a b and so b c b c ba c (Commutative Law) (Associative Law) (Distributive law)
ab c
a bc
1 in the Distributive Law, we get c 1 b c 1b 1c
EXAMPLE 1
(a) 3xy 4x 3 4 x 2y 12x 2y (b) 2t 7x 2tx 11 14tx 4t 2x 22t (c) 4 3 x 2 4 3x 6 10 3x If we use the Distributive Law three times, we get a b c d a bc a bd ac bc ad bd
This says that we multiply two factors by multiplying each term in one factor by each term in the other factor and adding the products. Schematically, we have a In the case where c or
1
b c
d
a and d a b
b, we have
2
a2
ba
ab
b2
a
b
2
a2
2ab
b2
Similarly, we obtain
2
a
b
2
a2
2ab
b2
REVIEW OF ALGEBRA
x
3
EXAMPLE 2
6x 2 3x (a) 2x 1 3x 5 (b) x 6 2 x 2 12x 36 2x 6 (c) 3 x 1 4x 3
10x 3 4x 2 12x 2 12x 2
5 x 3x 5x
6x 2
7x
5 12 12
3 2x 9 2x 21
Fractions
To add two fractions with the same denominator, we use the Distributive Law: a b Thus, it is true that a b c a b c b c b 1 b a 1 b...

...The numbers are overwhelming: Over the next 17 years, 350 million rural residents (more than the entire U.S. population today) will leave the farm and move to China’s cities. That will bring the Chinese urban population from just under 600 million today to close to 1 billion, changing China into a country where more than two-thirds of its people are city dwellers, says Jonathan Woetzel, a director in McKinsey’s Shanghai office. The change will reverse China’s centuries-old identity as a largely rural country. Thirty years ago, when China started modernizing its economy, more than 80% of Chinese lived in the countryside. And just six years ago it still was about 60%. Today China is just under 50% urban.
The newly urbanized population will live in eight megacities, those with a population of more than 10 million, as well 15 big cities with populations between 5 million and 10 million. In addition, by 2025 China will probably have at least 221 cities with a population over 1 million, estimates Woetzel. That compares with 35 cities of that scale across all of Europe today. These new urbanites are expected to be a powerful booster of growth: Urban consumption as a share of gross domestic product will most likely rise from 25% today to roughly 33% by 2025. “Urbanization is the engine of the Chinese economy—it is what has driven productivity growth over the last 20 years,” says Woetzel. “And China has the potential to keep doing this for the next 20 years.”...

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