UNIDAD EDUCATIVA BILINGÜE DELTA TAREA VACACIONAL DE MATEMATICAS

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1 UNIDAD EDUCATIVA BILINGÜE DELTA TAREA VACACIONAL DE MATEMATICAS 1. Problemas con triángulos: Resuelva los problemas: De la pág. 704 del libro de Algebra y Trigonometría. 2. Rectas y Coordenadas: Trace la recta que pasa por cada par de puntos y encuentre su pendiente: a P1: 0,8 P2: 4,0 b P1: 6, 2 P2: 3, 2 Hallar la ecuación de la recta que pasa por el punto 2,7 y tiene como pendiente 3. Haga la gráfica de la recta que pasa por el punto 1,3 y tiene pendiente m 2/5 Hallar la pendiente y la intersección de la recta: 2x7y10 y haga la gráfica. Encuentre la ecuación de la recta que tiene m 2 y corta al eje y en el punto 3 Encuentra la ecuación de cada recta y escríbela en la forma general: a Pasa por P 5,0 y tiene pendiente 2 3 b Pasa por P2, 3 y por Q6, 1 Escribe las siguientes ecuaciones de rectas en la forma simétrica y dibújalas: 5 5 y x a 12 4 b 6x 5y 30 0 Dados los puntos del siguiente triángulo P0,5 Q3, 1 R 3, 1 encuentre: a su perímetro. b El punto medio del segmento PQ. c La ecuación de la recta paralela al lado QR y pasa por el punto 2, 3. d La ecuación de la recta perpendicular al lado PR que pasa por el punto 4, 6. e Grafique las rectas y el triángulo en el mismo plano. Dada las siguientes coordenadas de los triángulos, ;, ;, encuentre: a su perímetro. b La ecuación de la recta paralela al lado AB que pasa por el punto 2, 4 c La ecuación de la recta perpendicular al lado BC que pasa por el punto 4, 3

2 d El punto medio del lado AC. e Graficar el triangulo, las rectas encontradas y el punto medio en un mismo plano Dada las coordenadas de un triangulo, ;, ;,; determine: a Si es un triángulo rectángulo. b Su perímetro. c Su área. d La ecuación de la recta paralela al lado AC y pasa por el punto 7, 2 e La ecuación de la recta perpendicular al lado BC y pasa por el punto 6, 4 f El punto medio de: AB BC AC g Graficar el triangulo, las rectas encontradas y el punto medio en un mismo plano. Encuentra la ecuación de la recta que pasa por el punto dado y es perpendicular a la recta dada: a P 3,1 5x 6y 13 0 b P 1, 5 x 2 Encuentra la ecuación de la recta l 1 que pasa por el punto dado y es paralela a la recta dada: 1 5, 12x 4y 1 0 a P 2 2 b P 5,5 x 3 Desarrolle los ejercicios de ; pág Funciones: Analice las funciones de la pág. 259, ejercicios del y de la pág. 286, ejercicios del Grafique las funciones dadas y realice el respectivo análisis

3 1 4. Ecuaciones y desigualdades: Desarrolle los ejercicios del y del solo los pares de la pág. 107 Desarrolle los ejercicios del múltiplos de 3 de la pág. 123 Desarrolle los ejercicios del 7 30 múltiplos de 3 de la pág. 139 Resuelve las siguientes ecuaciones por fórmula general 1. 3x 2 5x x 2 18x x 2 x 4 6 3x 5. Determina el conjunto solución de las siguientes ecuaciones con valor absoluto Desarrolle los ejercicios del múltiplos de 3 de la pág Hallar el conjunto solución de las siguientes desigualdades: x 1 x ( x 1) 2 x x 5 x

4 Student s name: II Bachillerato: Teacher: C.Macchiavello DUE DATE: APRIL 15, 2013 AUTONOMOUS LEARNING GUIDE This Guide will help refresh Business & Management concepts learned during the year, and prepare you for the IB program you are about to start. You should work on this guide individually. Section A reviews concepts, define them accurately, using proper business terms. Section B includes two case studies. Read them carefully, all questions that follow refer to those specific cases. GENERAL INSTRUCTIONS: Answer all questions in complete sentences. Relate all answers to the case studies. Use your Business & Management Book as a resource. Type all answers clearly, using Arial 11 font and 1.5 line spacing.

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6 SECTION A Define the following terms: (2 marks each) a) Opportunity cost b) Franchise c) Sole trader/proprietor d) Shareholder e) Stakeholder f) mission statement g) revenue h) inflation i) economies of scale j) profit SECTION B I Read the case study and answer the questions that follow. ECOSOLUCIONES Ecosoluciones is a non profit research organization located in Madrid, Spain. One of their objectives is to try to introduce non polluting sources of electricity in developing countries. One successful application of their research was the Alumbre Project. This provided electricity created by wind generators to the remote village of Alumbre, Peru, which previously had none. In Alumbre, wind generators were installed by Ecosoluciones to supply, for the first time, electricity to a textile factory, one of the few firms in the area operating in the secondary sector. Ecosoluciones also agreed to maintain and repair the generators. There was a complete transformation in the production process. The factory was able to buy new machinery. Productivity increased dramatically. New jobs were created. Ecosoluciones also promised, in partnership with Peru Telecom and the Peruvian government, to help fund the improvements in communication between Alumbre and the rest of Peru. This also allowed regional trade to develop. The entire community experienced significant improvements in their quality of life. The Peruvian government saw this as a practical solution to develop other depressed areas* of the country. Unfortunately in 2008 a severe financial crisis hit Europe and the Spanish

7 government suspended part of its funding for research organizations such as Ecosoluciones. As a direct result, the management of Ecosoluciones felt it may no longer be able to maintain Alumbre s wind generators. * Depressed area: a region or locality where business, employment, and stock market values have declined severely or are at a very low level of activity [Source: adapted from power blows into peru and brightens future/, 17 June 2008] 1. Define the term secondary sector. [2 marks] 2. Discuss two possible areas of conflict between stakeholders in the Alumbre Project. (7 marks) 3. Prepare a PEST analysis for the textile factory in Alumbre. [4 marks] 4. Contrast the objectives of non-profit organizations such as Ecosoluciones to those of profit-based organizations. [5 marks) II Read the case study and answer the questions: ZESTY Zesty is a family owned partnership that grows oranges in Florida USA, for the export market. It currently exports fresh oranges to Japan and Canada. Federal agricultural officials are predicting a 29 % increase in the orange crop next year. In anticipation of this, Zesty have launched an orange juice drink using fresh orange juice. They have marketed the drink using a product orientated approach rather than a market orientated approach. Each year Zesty undertakes a SWOT analysis to help determine its strategic and operational objectives. An extract from the opportunities and threats section of the SWOT analysis is shown below: Opportunities A 50 % smaller orange crop in Brazil, the market leader Significant growth in domestic sales of frozen concentrated orange juice US government negotiations with Cuba to establish a free trade agreement a promotional campaign by the Florida Citrus Growers Association (FCGA) Favorable long term weather forecasts a reduction in interest rates by the Federal Reserve. Threats The spread of citrus diseases as a result of Hurricane Gloria Labor shortages A slowing world economy New standards for grades of oranges developed by the United States

8 Department of Agriculture An appreciation in the value of the US dollar. 5. Describe one disadvantage to Zesty of being a partnership. (2 marks) 6. Distinguish between strategic objectives and operational objectives. [4 marks] 7. To what extent is (i) A 50 % smaller crop in Brazil an opportunity for Zesty? and (ii) An appreciation in the value of the US dollar a threat to Zesty? [6 marks] SECTION C Accounting: 1. Use the following personal data for James to calculate his net worth on June, (5 marks) Bank Account balance $185 Electronic Equipment $1800 DVD collection $225 Motor Bike $1200 Money owed to him $100 Money owed by him $650 Clothes $1000 Computer $ Grace has $ in assets and $ in liabilities. If Grace used $3.000 of her cash to pay of her bank loan, how would it impact her owner s equity? Use the basic accounting equation to illustrate your answer. (5 marks) 3. Classify each of the following as either an asset (A), liability (L), or

9 owner s equity (OE) account. (1 mark each) Cash Accounts Payable Partner #1 s share in the business Truck Mortgage Accounts Receivable Supplies Land Bank loan Partner #2 s share in the business