...|Corps |Aileen Liu |CMA: | |Member: | | | | |Objective 18: SWBAT solve word problems with two-step equations |Knowledge: | | | |Certain words in a word problem can clue us in to the mathematical symbols that| | |A cab ride costs $5 for the first mile and $4 for each additional mile.|relate the values that appear in the word problem. | | |Carlo’s cab ride cost $13. | | | |How many miles was the ride? |Skills: | | |A. 2 |Identify the givens | | |B. 3 |Circle all the values | | |C. 4 ...
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...Chapter 2: Equations and Inequalities MAT 1103: Fundamentals of Mathematics 2.1 Equations 1) Equation Statement indicating that 2 quantities are true. Example: Solution set: 3x − 2 = 10 values of variable that satisfy equations. 2) Restricted values a. Fraction: 1 , x≠a x−a b. Radical: c. Logarithmic: x−a, x≥a log( x − a) , x > a 3) Solve Linear equation in 1 variable ax + b = 0 Example 1: Solve a. (a and b are real numbers and a ≠ 0) 2x + 3 = 0 b. 3( x + 2) = 5 x + 2 c. 3y 2 1 − = y 2 3 5 1 Chapter 2: Equations and Inequalities MAT 1103: Fundamentals of Mathematics 4) Solve Rational Equations Example 2: Solve a. 3 7 + =2 5 x+2 b. 3x 5 − =3 x −1 x + 3 2.2 Applications of Linear Equations 1) English-mathematics vocabulary Mathematical operator + x English words More, greater, add, sum, exceeds, increase, higher, total, extra Less, difference, lower, minus, decrease, fewer Times, multiple Mathematical ratio 2x 3x 1/3 x ¼x English words Double Triple One third One quarter 2) General guideline for solving word problem a. Read the problem. b. Read the problem again. c. Draw a picture / table / flow chart. d. Find and label the unknowns that you are looking for. e. Find and label the known quantities. f. Write down all the formulas and relations between the known and unknown. g. Solve the problem. h. Check the answer & reply in words. 2 Chapter 2: Equations and Inequalities MAT 1103: Fundamentals...
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...Accounting Equation Franklin Weatherspoon ACC/300 OCTOBER 26, 2013 Dr. M Moczynski, CPA, CGFM Accounting Equation In the business world an individual cannot understand a balance sheet, income statement nor transaction recordings within a general ledger, until he or she understands the basic accounting equation: Assets = Liabilities + Owners Equity (Barclay, 2013). Following is a discussion on the relationship of accounting equation and the components of a balance sheet; along with examples showing the affect of each (University of Phoenix, 2013). Relation in Components The accounting formula is the way double-entry bookkeeping is formulated. The accounting formula, which is known as the balance sheet equation, signifies the connection between the assets, liabilities, and owner's equity of a small company (Peeler, 2013). The accounting formula basically expresses a company’s assets, which is obtained either by liabilities or by the company’s capital. The equation has to balance since the company’s entirety, which is known as assets are brought with something like liability or the company’s capital (Peeler, 2013). The effect of one another The company’s equity is affected by capital, functioning as stock. The company has income, which is revenue minus expenses, and gains minus loses, and sometimes extra capital and withdrawals are known as dividends. When the closing of the month approaches, each item will have an effect...
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...Individual Assignment - Accounting Equation Paper Dennis R Ware ACC/300 October 1, 2012 Kimberly McMillon Individual Assignment - Accounting Equation Paper From the largest corporation all the way down to the mom and pop store, every business transaction will have an effect on a company’s financial position. According to Investopedia.com, the financial position of a company is measured by the following three things: assets, liabilities, and owner’s equity. The assets are what the company owns. The liabilities are what the company owes to others. The owner’ equity is the difference between the assets and liabilities. The accounting equation offers a simple way to understand how the three amounts relate to each other. The accounting equation for a sole proprietorship is as follows: Assets = Liabilities + Equity. The accounting equation for a corporation is as follows: Assets = Liabilities + Stockholders’ Equity. Examples of assets include cash, account receivable, and equipment (Kimmel, 2011). From the accounting equation, you can that the amount of the assets must equal the combined amount of liabilities plus owner’s (or stockholders’) equity. Examples of liabilities include notes payable, accounts payable, and salaries payable (Kimmel, 2001). Examples of owner’s or stockholders’ equity include common stock and retained earnings. The balance sheet is also known as the statement of financial position. It reflects the accounting equation. The balance sheet reports...
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...The Accounting Equation All aspects of accounting is based off of the fundamental principle of Assets = liabilities + owners’ equity. Each of these elements has their own unique function within the accounting equation. In the accounting equation, each side of the equation balances with the other at all times. This equation is commonly used on the balance sheet. Assets Assets are anything of value that a company owns, which includes cash as well. Several types of assets exist, such assets are as follows: Current, investments, capital, and intangible. These assets are all combined for a company’s total assets. Current assets are assets with dollar amounts that continually change. Such assets may include cash, inventory, raw materials, and raw materials. Investments can be owned by companies which may include securities such as stocks and bonds. Capital assets are permanent things that a company may own. This would include land, buildings, vehicles, and equipment. Other things such as computers, appliances, and furniture can also be considered capital assets as long as they are being used and not being sold. Intangible assets include patents, copyrights and other non-material assets that have value. Liabilities Liabilities are anything a company owes to businesses or other people; there are two types of liabilities. Current liabilities are liabilities that are usually paid within a year. Such liabilities consist of money owed to vendors, suppliers, employees, short-term...
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...Accounting Equation Jarred Evans ACC/300 May 12, 14 Brandy Havens Abstract The purpose of this essay is to give a better understanding of the accounting equation, how the accounting equation relates to the components of the balance sheet, how the components of the accounting equation affect each other and how transactions affect the accounting equation. In business, the accounting equation is used to help us understand how assets, liabilities, and owner’s equity relate to each other along with measures the financial position of a company. The equation is set up as “Assets = Liabilities + Owner’s Equity” for an unincorporated business and “Assets = Liabilities + Stockholder’s Equity” for larger corporations. Assets are the business owned resources, such as money, building, equipment, and inventory. For assets in the equation, it must equal the liabilities plus owner’s equity amount. Liabilities are what companies or small business owe and is considered their duty. “Liabilities can be viewed in two ways, as claims by creditors against the company's assets, and a source—along with owner or stockholder equity—of the company's assets.” Finally, the owner’s equity is what remains after you deduct the liabilities away from the assets. In any transaction, the expressions get altered in order to fit the equation and make the numbers equal properly. “A balance sheet is a financial statement that reports the assets and claims to those assets at a specific point in time” (Kimmel...
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...income statement, and statement of cash flows. We begin by describing why the fundamental accounting equation is the basis for a firm’s balance sheet. the accounting equation The accounting equation is a simple statement that forms the basis for the accounting process. This equation shows the relationship between a firm’s assets, liabilities, and owners’ equity. ● ● ● ● ● ● Assets are the resources a business owns—cash, inventory, equipment, and real estate. Liabilities are the firm’s debts—borrowed money it owes to others that must be repaid. Owners’ equity is the difference between total assets and total liabilities—what would be left for the owners if the firm’s assets were sold and the money used to pay off its liabilities. The relationship between assets, liabilities, and owners’ equity is shown by the following accounting equation: Assets = Liabilities + Owners’ equity The dollar total of all of a firm’s assets cannot equal more than the total funds obtained by borrowing money (liabilities) and the investment of the owner(s). Whether a business is a small corner grocery store or a giant corporation such as General Mills, its assets must equal the sum of its liabilities and owners’ equity. To use this equation, a firm’s accountants must record raw data—that is, the firm’s day-to-day financial transactions—using...
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...Differential Equations by tarungehlots Concepts of Differential Equation Consider a variable that might denote the per capita capital stock level in an economy. When convenient, we can recognize that the level of capital depends upon time by addition the time argument. Doing so, we would write the per capita capital stock level as , rather than just writing . If we think of time as unfolding continuously, we can also think of capital as being a continuous function of time, and we can assume that the function has derivate . This derivative is the instantaneous change in per capita capital. In many presentations, is written as , but we will here use the more familiar notation . By writing the derivate as , so that we include the time argument, we are emphasizing that the value of the derivative may change with time. Because it is typically cumbersome to repeatedly write down the argument, we can also write the derivative as just , while remembering that its value may change with time. A differential equation is an equation that relates the time derivative of a variable to its level. An example is the equation (1) . The variable is called a state variable because it gives the state of the system at any given point in time. In our example, gives the state or level of per capita capital stock. 2. A Dynamic System The basic dynamic principle is the idea that “the way things are determines the way...
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...Accounting Equation Carrie Caruthers ACC300 March 7, 2016 Chastity Gaither Accounting Equation The financial health of a business can be initially measured through the accounting equation. The equation is broken down into three parts; assets, liabilities and owner’s (stockholder’s) equity. Each play an important part in keeping the business financial position in check. Assets = Liability + Owner’s Equity Assets = Liability + Owner’s Equity Assets This is most easily defined as what a business owns, or in some situations, their resources. Some examples of assets are computer equipment, building(s), products, supplies and even profits. (Accounting Coach, n.d.) When looking at the accounting equation, you will notice it sits by itself on the left side of the equation. Liabilities When first thinking about liabilities, I think about monthly bill paying time. Most every person pays bills to various companies/individuals on a regular basis. To define it for the accounting equation, it is just as simple; bills or money that is owed to another. (Kimmel, Waygandt, & Kieso, 2012) Liabilities can be services received immediately or services/products to be received in the future. They can range from internet services, utilities, insurance premiums, salaries & wages, and rent. Liabilities are found on the right side of the accounting equation in the first position. Owner's Equity Probably my most favorite part of this equation is owner’s equity, which is the owner’s claim to...
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...The accounting equation Kenneth Myers Sr. ACC/300 March 19,2014 Harri Elornta The accounting equation The Accounting Equation What is the accounting equation ? The accounting equation is, Assets = liabilities + owners’ equity. Each of these element assets, liabilities, owners equity has their own exclusive purpose within the accounting equation. Each side of the accounting equation should balance at all times. The balance sheet is where this equation is normally used. Assets Anything of value that a company owns including material goods property cash are considered to be an asset. More than a few types of assets exist, such assets are as follows: present, investments, capital, and intangible. The merging of a company's property and their cash will give you a company's total belongings. Current assets are assets with dollar amounts that frequently changing. Such possessions may consist of cash, inventory, raw materials, and raw resources. Investments can be owned by companies which may include securities such as stocks and bonds. Permanent thing are the company's capital assets that they may own. This also includes property, buildings, vehicles, and equipment. Additional Capital assets are items such as personal computers, televisions, appliances, and furnishings as long as they are being used and not being sold. Things that you can't tough are considered to be Intangible assets, and they consist of patents, copyrights, trademarks and other non-material assets...
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...Unit 6: Systems of Linear Equations and Inequalities SELECTED RESPONSE Identify the letter of the choice that best completes the statement or answers the question. 1. Identify the graph that represents the system of linear equations. [pic] |A. |[pic] |C. |[pic] | | | | | | |B. |[pic] |D. |[pic] | 2. The graph below shows the cost (c), in dollars, to rent a boat for h hours at two different boat companies. [pic] At what number of hours will the cost to rent a boat be the same at both companies? F. 4 G. 5 H. 8 J. 20 3. John and Patrice are each saving money to buy a car. John has $750 saved and will save an additional $30 a week. Patrice has $1,200 saved and will save an additional $20 a week. How many weeks will it take John and Patrice to save the same amount of money? A. 39 weeks B. 40 weeks C. 45 weeks D. 55 weeks 4. Choose the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system. [pic] F. Equation 1 G. Equation 2 H. Neither Equation 1 nor Equation 2 J. Both Equation 1 and Equation 2 5. Solve the linear system. [pic] A. (5, 7) ...
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...Exercise 1 – Find the first derivative and the second derivative of the following functions Answer: Applying constant function and power function rule (A) Y = 3 + 10X + 5X2 dY/dX = 0 + 1.10.X1-1 +2.5.X2-1 dY/dX = 10 + 10X d2Y/ dX2 = 0 + 1.10.X1-1 d2Y/ dX2 = 10 (B) Y = 2X (4 + X3 ) Y = 8X + 2X4 dY/dX = 1.8.X1-1 + 4.2.X4-1 dY/dX = 8 + 8X3 d2Y/ dX2 = 0 + 3.8.X3-1 d2Y/ dX2 = 24X2 (C) Y = 3 /X2 Y = 3X-2 dY/dX = -2.3.X-2-1 dY/dX = -6X-3 dY/dX = -6/X3 d2Y/ dX2 = -3.-6X-3-1 d2Y/ dX2 = 18X-4 d2Y/ dX2 = 18/X4 (D) Y = 18T – 2T2 dY/dT = 1.18.T1-1 – 2.2.T2-1 dY/dT = 18 – 4T d2Y/ dT2 = 0 – 1.4.T1-1 d2Y/ dT2 = - 4 Exercise 2 - Find the partial Derivative of Y with respect to X Answer (A) Y = 10 + 3Z + 2X ∂Y/∂X = 0 + 0 + 1.2.X1-1 ∂Y/∂X = 2 (B) Y= 18Z + X2 + Z.X ∂Y/∂X = 0 + 2.1.X2-1 + Z ∂Y/∂X = 2X + Z Application - The nursing home industry is growing rapidly because the aging of American population. According to the study of an economist, the average cost per patient day of a nursing home can be approximated by C = A – 0.16B + 0.002B2 Where, B is the nursing home’s number of patient days per year ( in thousands) and A is the number that depends on the location and other factors but not on B. Based on the information , how big must a nursing home be ( in terms of patient – days) to minimize the cost per patient day ? Answer – C= ƒ (A, B) Where C is Avg. Cost per patient day A is variable depends on location and other factors ...
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...Accounting Equation ACC/300 October 6, 2014 Accounting Equation From the smallest sole proprietorship to the largest corporation, all transactions in a business setting will have an effect on a company’s monetary status. The monetary status of a business is defined by three things: liabilities, assets and owner’s equity. The liabilities are debts or obligations to other people and assets are property or funds owned by the company. The owner’s equity is the total assets of a company minus its total liabilities. The accounting equation: Assets = Liabilities + Owner’s Equity shows the association between the three types of accounts in the accounting world. The accounting equation differs slightly between a corporation and a sole proprietorship. The reason is because a sole proprietorship owns all the equity while a corporation shares the equity with stockholders. Thus, the accounting equation for a one-owner business is: Assets = Liabilities + Equity. The accounting equation for a corporation would be the same except the last part of the equation which would read as stockholder’s equity. Examples of assets include cash, account receivables, and equipment (Kimmel, Weygandt, & Keiso, 2010). From the accounting equation, the amount of assets must equal the combined amount of liabilities plus the equity. Examples of liabilities include notes payable, accounts payable, and salaries payable (Kimmel, Weygandt, & Keiso, 2010). Examples of owner’s or stockholder’s...
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...Accounting Equation Paper ACC 300 University of Phoenix Accounting Equation Paper No matter how big or small a company is, the business will have some sort of financial transaction coming in or out that will affect the company’s financial standing. In any company, the accountant or accounting department plays a crucial role in ensuring the company succeeds. The main role of accounting is to analyze records and keep track of all financial transactions. The resources that make up a company’s assets, as well as the accounting equation, are liabilities and owner’s equity. At first, owner’s equity is affected by capitals such as issuing stocks. Once the business is up and running, income as well as expenses will be added to the balance sheets. Assets include everything the company owns, from the building to the package of paperclips. Liabilities are debts the company has, to other businesses or individuals. These debtors could include vendors, employees, or financial institutions that loaned money. Equity is also referred to as capital and consists of assets and any debts owed to the business from outside sources. In order to understand the accounting equation, the accounting department as well as leadership must understand how these relate to one another. The accounting equation is as follows: Assets = Liabilities + Owners/Stockholders Equity. Examples of assets include cash, account receivable, and equipment (Kimmel, 2011). The way that this accounting equation...
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...Part 1 State whether the equation 3x^2 y = 6 is linear or nonlinear and explain your answer. My answer is that the equation is nonlinear because there are 2 different parallel lines that do not intersect with each other, the solution is x = 0 and y = 2/x^2. The Cartesian plane which is a two dimensional coordinate system. A horizontal number line forms the x-axis of the plane, and a vertical number line forms the y-axis. The axes intersect at their 0 points; this coordinate is called the origin. Every point in the plane can be defined by its x and y coordinate. The x-coordinate of a point is the point’s distance in the x direction from the y-axis. Similarly, the y-coordinate of a point is the point’s distance in the y direction from the x-axis. It is customary to use ordered pairs (x, y) to represent the coordinates of a point in the plane. The x-coordinate is the first coordinate, and the y-coordinate is the second coordinate. It is possible to use graphing to solve a system of linear equations. There are three possible situations for the graphs of lines in a system: the graphs are parallel lines, they are the same line, or the lines intersect at a unique point. If the lines are parallel, their graphs have no points in common and there is no solution to the system. Lines with the same slope and same y-intercept are not only parallel but also the same line. The graphs are the same line and the system has an infinite number of solutions. An equation states a balanced relationship...
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