Homework Assignment 1 1. For each of the following equations determine whether it is linear in its variables or not. Explain your decision. a) b) c) 2. Solve each of the following systems and comment on geometric interpretation of its solutions. a) b) c) 3. Solve the following linear systems by Gauss-Jordan method: 4. Each of the following matrices is an augmented matrix of some linear system. In each case‚ determine : the ranks
Premium
Sara had just rented her first apartment starting December 1 before beginning college in January. The apartment had washer and dryer hook-ups‚ so Sara wanted to buy the appliances to avoid trips to the laundromat. The Saturday newspaper had an advertisement for a local appliance store offering “90 days‚ same as cash!” financing. Sara asked how the financing worked and learned that she could pay for the washer and dryer anytime during the first 90 days for the purchase price plus sales tax. If she
Premium Loan Debt Usury
2 OBJECTIVES We students taking Additional Mathematics are required to carry out a project work whilewe are in Form 5. This year the Curriculum Development Division‚ Ministry of Education hasprepared four tasks for us. We are to choose and complete only ONE task based on our area of interest. This project can be done in groups or individually‚ but each of us are expected tosubmit an individually written report. Upon completion of the Additional Mathematics ProjectWork‚ we are to gain valuable experiences
Premium Problem solving
1. Economics is the study of the choices that we make in the allocation of scarce resources. 2. In choosing whether or not to go to a particular concert ... if the marginal benefit (marginal utility) gained is greater than the marginal cost‚ then it would be “rational” to go. 3. A real cost of choosing to attend a concert is not only the out-of-pocket $ $ $ cost‚ but also the opportunity (lost wages or maybe extra sleep). Every activity we undertake requires us to not pursue other opportunities
Premium Economics
AP Psychology February 11‚ 2013 FRQ: Stages The stage theories of J. Piaget‚ E. Erikson‚ and L. Kohlberg are fundamental in explaining how a person develops. In Piaget’s case he described cognitive development in four stages- sensorimotor‚ preoperational‚ concrete operational‚ and formal operational. In Piaget’s sensorimotor stage which is usually from birth to age 2‚ babies experience the world through their sensory and motor interactions with objects such as through looking‚ hearing‚ touching
Premium Jean Piaget Developmental psychology Theory of cognitive development
What Do Mathematics and Being a Math Teacher Mean to Me? Mathematics‚ for me‚ is a science of systematic way of thinking. Symbols (e.g. numbers) are meant for representation‚ accuracy and precision. Mensuration‚ which is very useful both in practical purposes and other sciences‚ is a great example as proof. Manipulation of these symbols produces systematic representation and pattern. For an instance‚ an individual who is good in constructing‚ determining‚ and manipulating equations as well as inequalities
Premium Education Psychology Mathematics
Figure 1.1: The slope of a line (usually given the symbol m) is the ratio of the change in the y value‚ ∆y to the change in the x value‚ ∆x. We define the slope of a straight line as follows: Slope = ∆y ∆x v.2005.1 - September 4‚ 2009 1 Math 102 Notes Chapter 1 where ∆y means “change in the y value” and ∆x means “change in the x value” between two points. See Figure 1.1 for what this notation represents. Equation of a straight line Using this basic geometric property‚ we can find
Premium Derivative Analytic geometry Linear equation
Observing Math Instruction Jeraldine Smith Grand Canyon University EED 364 Amanda Bruce September 23‚ 2012 On September 20‚ 2012 I observed in Mr. Jones 1st grade math class. The lesson was based on how to teach addition and subtraction to first grader. In this paper I will be observing an elementary mathematic lesson based on a math standards. The standards The National Council of Teachers of Mathematic (NCTM) are to guide educators on how to teach math the correct way. In comparing
Premium Education Addition Teacher
chapter Compound Interest: Future Value and Present Value LEARNING OBJECTIVES After completing this chapter‚ you will be able to: ● CHAPTER OUTLINE 8.1 8.2 8.3 8.4 8.5 * * Basic Concepts Future Value (or Maturity Value) Present Value Using Financial Calculators Other Applications of Compounding Equivalent Payment Streams Models of Financial Calculators Calculate maturity value‚ future value‚ and present value in compound interest applications‚ by both the algebraic method and the preprogrammed
Premium Compound interest Interest
Write your name here Surname Other names Centre Number Candidate Number Edexcel GCSE Mathematics A Paper 2 (Calculator) Foundation Tier Thursday 8 November 2012 – Afternoon Time: 1 hour 45 minutes Paper Reference 1MA0/2F You must have: Ruler graduated in centimetres and millimetres‚ protractor‚ pair of compasses‚ pen‚ HB pencil‚ eraser‚ calculator. Tracing paper may be used. Total Marks Instructions Use black ink or ball-point pen. Fill in the boxes at the
Premium Real number