Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
12th Edition
ISBN: 9780134767628
Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins
Publisher: PEARSON
bartleby

Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
bartleby

Videos

Question
Book Icon
Chapter 5.4, Problem 28E
To determine

To calculate: The monthly payment and the remaining balance.

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 5.4, Problem 27E
Next
Chapter 5.4, Problem 29E
Students have asked these similar questions
Question 1. Your manager asks you to explain why the Black-Scholes model may be inappro- priate for pricing options in practice. Give one reason that would substantiate this claim? Question 2. We consider stock #1 and stock #2 in the model of Problem 2. Your manager asks you to pick only one of them to invest in based on the model provided. Which one do you choose and why ? Question 3. Let (St) to be an asset modeled by the Black-Scholes SDE. Let Ft be the price at time t of a European put with maturity T and strike price K. Then, the discounted option price process (ert Ft) t20 is a martingale. True or False? (Explain your answer.) Question 4. You are considering pricing an American put option using a Black-Scholes model for the underlying stock. An explicit formula for the price doesn't exist. In just a few words (no more than 2 sentences), explain how you would proceed to price it. Question 5. We model a short rate with a Ho-Lee model drt = ln(1+t) dt +2dWt. Then the interest rate…
In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)
3. Consider the polynomial equation 6-iz+7z² - iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.

Chapter 5 Solutions

Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)

Ch. 5.1 - Checkpoint 1 Find the simple interest for each...Ch. 5.1 - Checkpoint 2 For the given bonds, find the...Ch. 5.1 - Checkpoint 3 Find each future value. (a) $1000 at...Ch. 5.1 - Checkpoint 4 You lend a friend $500. She agrees to...Ch. 5.1 - Checkpoint 5 Find the present value of the given...Ch. 5.1 - Checkpoint 6 Jerrell Davis is owned $19,500 by...Ch. 5.1 - Checkpoint 7 A firm accepts a $21,000 note due in...Ch. 5.1 - ✓ Checkpoint 8 The maturity times and discount...Ch. 5.1 - Checkpoint 9 Find the actual interest rate paid by...Ch. 5.1 - Unless stated otherwise, "interest" means simple...
Ch. 5.1 - Find the interest on each of these loans. (See...Ch. 5.1 - Find the interest on each of these loans. (See...Ch. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Find the interest on each of these loans. (See...Ch. 5.1 - Find the interest on each of these loans. (See...Ch. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Find the interest on each of these loans. (See...Ch. 5.1 - Corporate Bonds For each of the given corporate...Ch. 5.1 - Corporate Bonds For each of the given corporate...Ch. 5.1 - Corporate Bonds For each of the given corporate...Ch. 5.1 - Corporate Bonds For each of the given corporate...Ch. 5.1 - Prob. 15ECh. 5.1 - Corporate Bonds For each of the given corporate...Ch. 5.1 - Find the future value of each of these loans. (See...Ch. 5.1 - Find the future value of each of these loans. (See...Ch. 5.1 - Find the future value of each of these loans. (See...Ch. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Find the present value of each future amount. (See...Ch. 5.1 - Prob. 24ECh. 5.1 - Find the present value of each future amount. (See...Ch. 5.1 - Find the present value of each future amount. (See...Ch. 5.1 - Treasury Bills The given U.S. Treasury bills were...Ch. 5.1 - Prob. 28ECh. 5.1 - Treasury Bills The given U.S. Treasury bills were...Ch. 5.1 - Treasury Bills The given U.S. Treasury bills were...Ch. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Treasury Bills Historically, treasury bills...Ch. 5.1 - Work the following applied problems. Tax Penalty...Ch. 5.1 - Work the following applied problems. Family Loan...Ch. 5.1 - Work the following applied problems. Savings...Ch. 5.1 - Prob. 38ECh. 5.1 - Work the following applied problems. 39. Money...Ch. 5.1 - Work the following applied problems. CD A $100,000...Ch. 5.1 - Work the following applied problems. Student Loan...Ch. 5.1 - Prob. 42ECh. 5.1 - Work the following applied problems. Construction...Ch. 5.1 - Prob. 44ECh. 5.1 - Work the following applied problems. Computing...Ch. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Work the following applied problems. 48. Treasury...Ch. 5.1 - Prob. 49ECh. 5.1 - Work the following applied problems. 50. Treasury...Ch. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Finance Work these problems. (See Example...Ch. 5.1 - Finance Work these problems. (See Example...Ch. 5.1 - Finance Work these problems. (See Example...Ch. 5.2 - Checkpoint 1 Extend the chart in the text by...Ch. 5.2 - Checkpoint 2 Suppose $17,000 is deposited at 4%...Ch. 5.2 - Checkpoint 3 Find the future value for these money...Ch. 5.2 - Checkpoint 4 Find the compound amount for $7500...Ch. 5.2 - Checkpoint 5 Find the face value of the zero...Ch. 5.2 - Prob. 6CPCh. 5.2 - Prob. 7CPCh. 5.2 - Prob. 8CPCh. 5.2 - Prob. 9CPCh. 5.2 - Prob. 10CPCh. 5.2 - Prob. 11CPCh. 5.2 - Interest on the zero-coupon bonds here is...Ch. 5.2 - Interest on the zero-coupon bonds here is...Ch. 5.2 - Prob. 3ECh. 5.2 - Interest on the zero-coupon bonds here is...Ch. 5.2 - Interest on the zero-coupon bonds here is...Ch. 5.2 - Prob. 6ECh. 5.2 - Find the compound amount and the interest earned...Ch. 5.2 - Prob. 8ECh. 5.2 - Find the compound amount and the interest earned...Ch. 5.2 - Find the compound amount and the interest earned...Ch. 5.2 - Money Market Accounts The following money market...Ch. 5.2 - Money Market Accounts The following money market...Ch. 5.2 - Money Market Accounts The following money market...Ch. 5.2 - Money Market Accounts The following money market...Ch. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Find the interest rate (with annual compounding)...Ch. 5.2 - Prob. 18ECh. 5.2 - Find the interest rate (with annual compounding)...Ch. 5.2 - Prob. 20ECh. 5.2 - Find the compound amount and the interest earned...Ch. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Find the compound amount and the interest earned...Ch. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Find the APY corresponding to the given nominal...Ch. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Find the present value of the given future...Ch. 5.2 - Find the present value of the given future...Ch. 5.2 - Find the present value of the given future...Ch. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Finance For Exercises 43 and 44, assume an annual...Ch. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Finance For Exercises 43 and 44, assume an annual...Ch. 5.2 - 51. Lora Reilly has inherited $10,000 from her...Ch. 5.2 - 52. Which of these 20-year zero-coupon bonds will...Ch. 5.2 - 53. As the prize in a contest, you are offered...Ch. 5.2 - Prob. 50ECh. 5.2 - 59. A company has agreed to pay $2.9 million in 5...Ch. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - 62. If inflation is 2.4% per year and a washing...Ch. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Economics Use the approach in Example 8 to find...Ch. 5.2 - Prob. 58ECh. 5.2 - 67. The consumption of electricity has increased...Ch. 5.2 - Prob. 60ECh. 5.2 - Prob. 61ECh. 5.2 - Prob. 62ECh. 5.2 - Work the following applied problems. 63. On...Ch. 5.2 - Work the following applied problems. On January 1,...Ch. 5.3 - Checkpoint 1 Complete these steps for an annuity...Ch. 5.3 - Prob. 2CPCh. 5.3 - Checkpoint 3 Find the total value of the account...Ch. 5.3 - Prob. 4CPCh. 5.3 - Prob. 5CPCh. 5.3 - Checkpoint 6 (a) Ms. Black deposits $800 at the...Ch. 5.3 - Note: Unless stated otherwise, all payments are...Ch. 5.3 - Prob. 2ECh. 5.3 - Investing As of July 2016, banrate.com advertised...Ch. 5.3 - Investing As of July 2016, banrate.com advertised...Ch. 5.3 - Investing As of July 2016, banrate.com advertised...Ch. 5.3 - Investing As of July 2016, banrate.com advertised...Ch. 5.3 - Investing As of July 2016, banrate.com advertised...Ch. 5.3 - Investing As of July 2016, banrate.com advertised...Ch. 5.3 - Find the final amount (rounded to the nearest...Ch. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Find the final amount (rounded to the nearest...Ch. 5.3 - Find the amount of each payment to be made into a...Ch. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Find the amount of each payment to be made into a...Ch. 5.3 - Find the amount of each payment to be made into a...Ch. 5.3 - Prob. 18ECh. 5.3 - Find the interest rate needed for the sinking fund...Ch. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Find the interest rate needed for the sinking fund...Ch. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Investing In 2009, the average savings account...Ch. 5.3 - Prob. 27ECh. 5.3 - Investing In 2009, the average savings account...Ch. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - 37. Cigarette Costs The website www.theawl.com...Ch. 5.3 - 37. Cigarette Costs The website www.theawl.com...Ch. 5.3 - 39. Investing Mary Dodge deposits $12,000 at the...Ch. 5.3 - 40. Investing Peter Healy deposits $800 at the end...Ch. 5.3 - Investing At the end of each quarter, a...Ch. 5.3 - Retirement Planning Miguel Handley is 45 years...Ch. 5.3 - 43. A mother opened an investment account for her...Ch. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - 47. David Horwitz needs $10,000 in 8...Ch. 5.3 - 48. Harv’s Meats knows that it must buy a new...Ch. 5.3 - 49. Barbara Margolius wants to buy a $24,000 car...Ch. 5.3 - Prob. 50ECh. 5.3 - 51. Diane Gray sells some land in Nevada. She will...Ch. 5.3 - Prob. 52ECh. 5.3 - 53. To save for retirement, Karla Harby put $300...Ch. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.4 - Checkpoint 1 An insurance company offers to pay...Ch. 5.4 - Prob. 2CPCh. 5.4 - Prob. 3CPCh. 5.4 - Prob. 4CPCh. 5.4 - Prob. 5CPCh. 5.4 - Prob. 6CPCh. 5.4 - Prob. 1ECh. 5.4 - Prob. 2ECh. 5.4 - Find the present value of each ordinary annuity....Ch. 5.4 - Find the present value of each ordinary annuity....Ch. 5.4 - Find the present value of each ordinary annuity....Ch. 5.4 - Find the present value of each ordinary annuity....Ch. 5.4 - Find the amount necessary to fund the given...Ch. 5.4 - Find the amount necessary to fund the given...Ch. 5.4 - Find the amount necessary to fund the given...Ch. 5.4 - Find the amount necessary to fund the given...Ch. 5.4 - Prob. 11ECh. 5.4 - Find the payment made by the ordinary annuity with...Ch. 5.4 - Prob. 13ECh. 5.4 - Find the payment made by the ordinary annuity with...Ch. 5.4 - Find the payment necessary to amortize each of the...Ch. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Find the payment necessary to amortize each of the...Ch. 5.4 - Find the payment necessary to amortize each of the...Ch. 5.4 - Mortgages In October 2016, the mortgage interest...Ch. 5.4 - Mortgages In October 2016, the mortgage interest...Ch. 5.4 - Mortgages In October 2016, the mortgage interest...Ch. 5.4 - Mortgages In October 2016, the mortgage interest...Ch. 5.4 - Loans Find the monthly payment and estimate the...Ch. 5.4 - Loans Find the monthly payment and estimate the...Ch. 5.4 - Loans Find the monthly payment and estimate the...Ch. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - Prob. 33ECh. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - Prob. 38ECh. 5.4 - Finance Work the following applied problems. 49. A...Ch. 5.4 - Prob. 40ECh. 5.4 - Finance A student education loan has two repayment...Ch. 5.4 - Finance A student education loan has two repayment...Ch. 5.4 - Finance Use the formula for the approximate...Ch. 5.4 - Prob. 44ECh. 5.4 - Finance Use the formula for the approximate...Ch. 5.4 - 56. Mohsen Manouchehri will purchase a $230,000...Ch. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - Prob. 49ECh. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Auto Loan Jessica Walters takes out a 6-year...Ch. 5.4 - 54. Mortgage Ling Wu takes out a 30-year...Ch. 5.4 - Prob. 55ECh. 5.4 - Prob. 56ECh. 5.4 - Prob. 57ECh. 5.4 - Prob. 58ECh. 5 - Find the simple interest for the following...Ch. 5 - Find the simple interest for the following...Ch. 5 - Find the simple interest for the following...Ch. 5 - Find the simple interest for the following...Ch. 5 - Find the semiannual (simple) interest payment and...Ch. 5 - Prob. 6RECh. 5 - Find the maturity value for each simple interest...Ch. 5 - Find the maturity value for each simple interest...Ch. 5 - Prob. 9RECh. 5 - Find the present value of the given future...Ch. 5 - Find the present value of the given future...Ch. 5 - Prob. 12RECh. 5 - Find the present value of the given future...Ch. 5 - Find the present value of the given future...Ch. 5 - Find the compound amount and the amount of...Ch. 5 - Find the compound amount and the amount of...Ch. 5 - Find the compound amount and the amount of...Ch. 5 - Find the compound amount and the amount of...Ch. 5 - Find the amount of compound interest earned by...Ch. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - Find the APY corresponding to the given nominal...Ch. 5 - Find the present value of the given amounts at the...Ch. 5 - Find the present value of the given amounts at the...Ch. 5 - Find the present value of the given amounts at the...Ch. 5 - Find the present value of the given amounts at the...Ch. 5 - Find the price that a purchaser should be willing...Ch. 5 - Prob. 30RECh. 5 - Prob. 31RECh. 5 - Prob. 32RECh. 5 - Find the future value of each annuity. 33. $4000...Ch. 5 - Find the future value of each annuity. 34. $233...Ch. 5 - Find the future value of each annuity. 35. $672...Ch. 5 - Find the future value of each annuity. 36. $11,900...Ch. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - Find the amount of each payment that must be made...Ch. 5 - Prob. 40RECh. 5 - Find the amount of each payment that must be made...Ch. 5 - Prob. 42RECh. 5 - Find the present value of each ordinary...Ch. 5 - Find the present value of each ordinary...Ch. 5 - Find the present value of each ordinary...Ch. 5 - Find the amount necessary to fund the given...Ch. 5 - Find the amount necessary to fund the given...Ch. 5 - Find the amount necessary to fund the given...Ch. 5 - Find the payment for the ordinary annuity with the...Ch. 5 - Find the payment for the ordinary annuity with the...Ch. 5 - Find the payment for the ordinary annuity with the...Ch. 5 - Find the payment for the ordinary annuity with the...Ch. 5 - Find the amount of the payment necessary to...Ch. 5 - Find the amount of the payment necessary to...Ch. 5 - Find the monthly house payments for the given...Ch. 5 - Prob. 56RECh. 5 - Find the monthly house payments for the given...Ch. 5 - Prob. 58RECh. 5 - Prob. 59RECh. 5 - Prob. 60RECh. 5 - Prob. 61RECh. 5 - Prob. 62RECh. 5 - Prob. 63RECh. 5 - Prob. 64RECh. 5 - Finance Work the following applied...Ch. 5 - Prob. 66RECh. 5 - Finance Work the following applied...Ch. 5 - Work the following applied...Ch. 5 - Finance Work the following applied problems. 69. A...Ch. 5 - Finance Work the following applied...Ch. 5 - 71. In 3 years, Ms. Nguyen must pay a pledge of...Ch. 5 - 72. To finance the $15,000 cost of their kitchen...Ch. 5 - 73. To expand her business, the owner of a small...Ch. 5 - 74. The Fix family bought a house for $210,000....Ch. 5 - Work the following applied...Ch. 5 - 76. Dan Hook deposits $400 a month to a retirement...Ch. 5 - Prob. 77RECh. 5 - 78. Eileen Gianiodis wants to retire on $75,000...Ch. 5 - Investing Shelia graduates from college at age 25...Ch. 5 - Investing Hector manages to deposit $300 at the...Ch. 5 - Investing Suppose Shelia in Exercise 1 stops...Ch. 5 - Investing Suppose Hector in Exercise 2 stops...Ch. 5 - 5. Investing The rate of return can make a huge...Ch. 5 - 6. Investing If $10,000 is invested for 36 years...Ch. 5 - Prob. 1EPCh. 5 - Prob. 2EP
Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Discrete Mathematics and Its Applications ( 8th I...
Math
ISBN:9781259676512
Author:Kenneth H Rosen
Publisher:McGraw-Hill Education
Text book image
Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
Text book image
Calculus Volume 1
Math
ISBN:9781938168024
Author:Strang, Gilbert
Publisher:OpenStax College
Text book image
Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Text book image
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
SEE MORE TEXTBOOKS
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY