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
-
Should a business leader in China encourage a manager to run for office? Engage in guanxi lobbying to encourage district leaders to impose stiffer emissions and mileage requirements for heavy trucks?...
-
Find the radius of convergence and interval of convergence of the power series. X n=on!
-
What happens if you specify an invalid format string?
-
In 2010, Bailey Corporation discovered that equipment purchased on January 1, 2008, for $50,000 was expensed at that time. The equipment should have been depreciated over 5 years, with no salvage...
-
31 g (20%) A three-mirror ring cavity has mirrors with R = R = 0.8 and R = 0.9 which are separated at 12 = 0.5 m and 123 = 3 = 0.3 m. A glass rod that has a length of 1 = 0.2 m and a refractive index...
-
1. Bare cost and total cost (incl. O&P) of formwork for spread footings (20 pts, specify which lines (or index) in RSMeans data are used) 2. Bare cost and total cost of reinforcement for spread...
-
Deferred leasing costs may be overlooked by investors because: Multiple choice question. investors typically measure profitability according to EPS investors typically measure profitability according...
-
An energy company with headquarters in Dallas, Texas, is thinking about developing a system to track the efficiency of its oil refineries in North America. Each week, the ten refineriesas far as...
-
Inventory levels for Remi are currently held at $400,000 and have been increasing at a rate of 6% over the past 10 years. In order to hold down inventory costs, Remi has decided that if they exceed...
-
Explain why bond issuers might voluntarily choose to put restrictive covenants into a new bond issue.
-
Explain what the size effect is.
-
A societal utility function for an entire nation is found to be In U = 3.2 0.52lnG + 0.47 InB, where G and B are guns and butter. Interpret the coefficients. What happens to utility for the nation...
-
Consider the following. T(X1 X2 X3 X4)=(x X X3 X + 2x - X4 X4), v = (-1, 0, 1, 1) (a) Find the standard matrix A for the linear transformation T. 0 0 41 (b) Use A to find the image of the vector v....
-
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...
-
You are managing the development of a case tracking system project for your large law firm. The requirements phase of the project is almost complete, and preliminary design work has begun. The...
-
At the conclusion of this chapter, the textbook mentions that data and process modeling may eventually become obsolete due to the increasing popularity and usage of object-oriented modeling and...
-
Although data and process models depict the same system with different views, systemi designers must synchronize these different views to make sure that their models are consistent and complete. One...
Study smarter with the SolutionInn App