Solve the first-order linear difference equation xn+1 = Axn + B when A = 1 and...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Solve the first-order linear difference equation xn+1 = Axn + B when A = 1 and when A 1. Make sure you show all calculations. [6 marks] b) By using the results in a), find what x, tends to as n→ +∞, when i) A=-1, B = 0; [2 marks] ii) A=0, B = 4; [2 marks] iii) A = 1/2, B = 1/4. [2 marks] Consider a loan of 300,000 Euro to be paid back over 30 years at a yearly interest rate of 1%, compounded once a year. Use the results in a) to calculate: i) The monthly repayment. [4 marks] ii) The total amount paid back. [1 mark] iii) The monthly repayment if the interest had been compounded every six months. [3 marks] Solve the first-order linear difference equation xn+1 = Axn + B when A = 1 and when A 1. Make sure you show all calculations. [6 marks] b) By using the results in a), find what x, tends to as n→ +∞, when i) A=-1, B = 0; [2 marks] ii) A=0, B = 4; [2 marks] iii) A = 1/2, B = 1/4. [2 marks] Consider a loan of 300,000 Euro to be paid back over 30 years at a yearly interest rate of 1%, compounded once a year. Use the results in a) to calculate: i) The monthly repayment. [4 marks] ii) The total amount paid back. [1 mark] iii) The monthly repayment if the interest had been compounded every six months. [3 marks]
Expert Answer:
Answer rating: 100% (QA)
a When A 1 xn1 xn B When A 1 xn1 Axn B b i When A 1 and B 0 xn1 xn The sequence will alternate betwe... View the full answer
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
Given the following data: Calculate ÎH for the reaction On the basis of enthalpy change, is this a useful reaction for the synthesis of ammonia? AH - 92 kJ () + AH = -484 k (g) ON OH 88
-
A plane wall of thickness 0.1 m and thermal conductivity 25 W/m K having uniform volumetric heat generation of 0.3 MW/m3 is insulated on one side, while the other side is exposed to a fluid at 92C....
-
Tupperware Company claims to be one of the worlds leading direct sellers, supplying premium food storage, preparation and serving items to consumers in more than 100 countries through its Tupperware...
-
You have been asked by the prospective directors of a shortly to be established business what is meant by ordinary shares, preference shares and debt capital. Further, you have been asked to provide...
-
Papas Pizza is considering replacement of its pizza oven with a new, more energy-efficient model. Information related to the old and new pizza ovens follows: Old ovenoriginal cost ..........$ 60,000...
-
Problem 8 : Present Value of an Annuity Find the present values of the following ordinary annuities if discounting occurs once a year: $ 3 0 0 per year for 1 0 years at 1 0 percent. $ 1 5 0 per year...
-
Hungry Howies is opening a new restaurant. The company estimates that there is a 85% chance the restaurant will have a profit of $200,000, a 5% chance the restaurant will break even, and a 10% chance...
-
Given a n-dimensional vector group {a, a, ..., an}, show that the sufficient and necessary condition for its linear independence: any n-dimensional vector can be , an}, i.e., p = x + x + +xnn. ...)...
-
1. Many criminal justice professionals (judges,prosecutors,police officers, etc...)have thecommon the ability to use discretion in the administration of the law. Why is the duty to enforce the law is...
-
Brandon Oil Company recently purchased oil and natural gas reserves in a remote part of Alaska for $800,000. Brandon spent $10,000,000 preparing the oil for extraction from the ground. Brandon...
-
How does fraud prevention software help companies in controlling and reducing fraudulent activities and accounting transactions? It records details of every transaction and identifies who made the...
-
You are an educator who needs to explain to your new principal and fellow teachers the differences in Canadian Copyright law as it applies to education vs. uses in organizations. Make a mind map with...
-
You are in charge of quality control (QC) for a manufacturer of toy cars. Recently the company started manufacturing toy dune buggies at a new factory. Your job is to set up quality control...
-
2 . Find the slope of the line represented and y - intercept by the following equation and draw the graph: Y = 3 x - 2
-
Federated Shipping, a competing overnight delivery service, informs the customer in Problem 65 that they would ship the 5-pound package for $29.95 and the 20-pound package for $59.20. (A) If...
-
Snick's Board Shop has several questions for you that Excel can help answer. The company is planning for the future and would like you to prepare a present value analysis. Using the file ch7-10,...
-
Explain the process for changing column width or row height
-
Open the report created in Assignment 2. Change the title of the report to Products by Buyer. Add lines to separate each buyer. Add a line above the grand total amount. Save the new report as Ch 13...
-
When a consumer spends her income on goods and services in such a way that her utility is maximized, she reaches a. monetary equilibrium. b. market equilibrium. c. consumer equilibrium. d. marginal...
-
What is the connection between the law of demand and the law of diminishing marginal utility?
-
In consumer equilibrium, a. the marginal utility from consumption is the same across all goods. b. individuals seek the combination of goods that maximizes their satisfaction, given limited income....
Study smarter with the SolutionInn App