Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
11th Edition
ISBN: 9781285464657
Author: Soo T. Tan
Publisher: Brooks Cole
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Chapter 5.3, Problem 55E
To determine
To verify:
The qualification of Foleys’ for the mortgage.
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Exercises
Evaluate the following limits.
1. lim cot x/ln x
+01x
2. lim x² In x
+014
3. lim x*
x0+
4. lim (cos√√x)1/x
+014
5. lim x2/(1-cos x)
x10
6. lim e*/*
818
7. lim (secx - tan x)
x-x/2-
8. lim [1+(3/x)]*
x→∞0
In Exercises 1 through 3, let xo =
O and calculate P7(x) and R7(x).
1. f(x)=sin x, x in R.
2. f(x) = cos x, x in R.
3. f(x) = In(1+x), x≥0.
4. In Exercises 1, 2, and 3, for |x| 1, calculate a value of n such that P(x)
approximates f(x) to within 10-6.
5. Let (an)neN be a sequence of positive real numbers such that L =
lim (an+1/an) exists in R. If L < 1, show that an → 0. [Hint: Let
1111
L
iation
7. Let f be continuous on [a, b] and differentiable on (a, b). If lim f'(x)
xia
exists in R, show that f is differentiable at a and f'(a) = lim f'(x). A
similar result holds for b.
x-a
8. In reference to Corollary 5.4, give an example of a uniformly continuous
function on [0, 1] that is differentiable on (0, 1] but whose derivative is not
bounded there.
9. Recall that a fixed point of a function f is a point c such that f(c) = c.
(a) Show that if f is differentiable on R and f'(x)| x if x 1 and hence In(1+x) 0.
12. For 0 л/2. (Thus,
as x л/2 from the left, cos x is never large enough for x+cosx to be
greater than л/2 and cot x is never small enough for x + cot x to be less
than x/2.)
Chapter 5 Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences, 11th Edition
Ch. 5.1 - Explain the difference between simple interest and...Ch. 5.1 - Prob. 2CQCh. 5.1 - Prob. 3CQCh. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Find the accumulated amount at the end of 9months...Ch. 5.1 - Find the accumulated amount at the end of 8months...Ch. 5.1 - Prob. 5ECh. 5.1 - A bank deposit paying simple interest at the rate...Ch. 5.1 - Prob. 7E
Ch. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Determine the simple interest rate at which 1200...Ch. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - In Exercises 21-24, find the effective rate...Ch. 5.1 - Prob. 22ECh. 5.1 - In Exercises 21-24, find the effective rate...Ch. 5.1 - In Exercises 21-24, find the effective rate...Ch. 5.1 - In Exercises 25-28, find the present value of...Ch. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Find the accumulated amount after 4years if 5000...Ch. 5.1 - Prob. 30ECh. 5.1 - CONSUMER DECISIONS Mitchell has been given the...Ch. 5.1 - COURT JUDGMENT Jennifer was awarded damages of...Ch. 5.1 - BRIDGE LOANS To help finance the purchase of a new...Ch. 5.1 - CORPORATE BONDS David owns 20,000 worth of 10-year...Ch. 5.1 - MUNICIPAL BONDS Maya paid 10,000 for a 7-year bond...Ch. 5.1 - TREASURY BILLS Isabella purchased 20,000 worth of...Ch. 5.1 - TREASURY BILLS Maxwell purchased 15,000 worth of...Ch. 5.1 - COMPARING INVESTMENT RETURNS The value of Marias...Ch. 5.1 - Prob. 39ECh. 5.1 - INVESTMENTS The value of Jacks investment...Ch. 5.1 - INVESTMENTS The value of Arabellas stock portfolio...Ch. 5.1 - Write Formula 1b in the slope intercept form, and...Ch. 5.1 - HOSPITAL COSTS If the cost of a semiprivate room...Ch. 5.1 - Prob. 44ECh. 5.1 - HOUSING APPRECIATION The Kwans are planning to buy...Ch. 5.1 - Prob. 46ECh. 5.1 - PENSION FUNDS The managers of a pension fund have...Ch. 5.1 - RETIREMENT FUNDS Five and a half years ago, Chris...Ch. 5.1 - MUTUAL FUNDS Jodie invested 15,000 in a mutual...Ch. 5.1 - TRUST FUNDS A young man is the beneficiary of a...Ch. 5.1 - INVESTMENT PLANNING Find how much money should be...Ch. 5.1 - PROMISSORY NOTES An individual purchased a 4-year,...Ch. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - COMPARING RATES OF RETURN In the last 5 years,...Ch. 5.1 - COMPARING RATES OF RETURN Fleet Street Savings...Ch. 5.1 - LOAN CONSOLIDATION The proprietors of The Coachmen...Ch. 5.1 - Prob. 58ECh. 5.1 - ZERO COUPON BONDS Juan is contemplating buying a...Ch. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - Prob. 64ECh. 5.1 - SAVING FOR COLLEGE Having received a large...Ch. 5.1 - Prob. 66ECh. 5.1 - REAL ESTATE INVESTMENT An investor purchased a...Ch. 5.1 - Prob. 68ECh. 5.1 - Prob. 69ECh. 5.1 - Prob. 70ECh. 5.1 - Prob. 71ECh. 5.1 - Prob. 72ECh. 5.1 - Prob. 73ECh. 5.1 - Prob. 74ECh. 5.1 - Prob. 75ECh. 5.1 - Prob. 76ECh. 5.1 - Prob. 77ECh. 5.1 - Prob. 78ECh. 5.1 - Prob. 79ECh. 5.1 - Prob. 80ECh. 5.1 - Prob. 81ECh. 5.1 - Prob. 82ECh. 5.1 - Prob. 83ECh. 5.1 - Prob. 84ECh. 5.1 - Optional In Exercises 7986, use logarithms to...Ch. 5.1 - Prob. 86ECh. 5.1 - Prob. 1TECh. 5.1 - Prob. 2TECh. 5.1 - Prob. 3TECh. 5.1 - Prob. 4TECh. 5.1 - Prob. 5TECh. 5.1 - Prob. 6TECh. 5.1 - Prob. 7TECh. 5.1 - Prob. 8TECh. 5.1 - Prob. 9TECh. 5.1 - Prob. 10TECh. 5.1 - Prob. 11TECh. 5.1 - Prob. 12TECh. 5.2 - Is the term of an ordinary annuity fixed or...Ch. 5.2 - Prob. 2CQCh. 5.2 - Prob. 3CQCh. 5.2 - Prob. 4CQCh. 5.2 - In Exercises 1-8, find the amount future value of...Ch. 5.2 - Prob. 2ECh. 5.2 - In Exercises 1-8, find the amount future value of...Ch. 5.2 - Prob. 4ECh. 5.2 - In Exercises 1-8, find the amount future value of...Ch. 5.2 - Prob. 6ECh. 5.2 - In Exercises 1-8, find the amount future value of...Ch. 5.2 - In Exercises 1-8, find the amount future value of...Ch. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - In Exercises 9-14, find the present value of each...Ch. 5.2 - Prob. 14ECh. 5.2 - IRAs If a merchant deposits 1500 at the end of...Ch. 5.2 - SAVINGS ACCOUNTS If Jackson deposits 100 at the...Ch. 5.2 - SAVINGS ACCOUNTS Linda has joined a Christmas Fund...Ch. 5.2 - KEOGH ACCOUNTS Robin, who is self-employed,...Ch. 5.2 - INVESTMENT ANALYSIS Karen has been depositing 150...Ch. 5.2 - RETIREMENT PLANNING As a fringe benefit for the...Ch. 5.2 - INVESTMENT ANALYSIS Luis has 150,000 in his...Ch. 5.2 - AUTO LEASING The Betzes have leased an auto for 2...Ch. 5.2 - SAVINGS ACCOUNTS The Pirerras are planning to go...Ch. 5.2 - INSTALLMENT PLANS Mikes Sporting Goods sells...Ch. 5.2 - Prob. 25ECh. 5.2 - LOTTERY PAYOUTS A state lottery commission pays...Ch. 5.2 - PURCHASING A HOME The Johnsons have accumulated a...Ch. 5.2 - PURCHASING A HOME Refer to Exercise 27. If local...Ch. 5.2 - Prob. 29ECh. 5.2 - SAVINGS PLAN Lauren plans to deposit 5000 into a...Ch. 5.2 - FINANCIAL PLANNING Joe plans to deposit 200 at the...Ch. 5.2 - INVESTMENT ANALYSIS From age 25 to age 40, Jessica...Ch. 5.2 - ROTH IRAS Suppose that Jacob deposits 3000/year...Ch. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 1TECh. 5.2 - Prob. 2TECh. 5.2 - Prob. 3TECh. 5.2 - Prob. 4TECh. 5.2 - Prob. 5TECh. 5.2 - Prob. 6TECh. 5.2 - Prob. 7TECh. 5.2 - Prob. 8TECh. 5.3 - Write the amortization formula. a. If P and i are...Ch. 5.3 - Prob. 2CQCh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - In Exercises 1-8, find the periodic payment R...Ch. 5.3 - Prob. 4ECh. 5.3 - In Exercises 1-8, find the periodic payment R...Ch. 5.3 - Prob. 6ECh. 5.3 - In Exercises 1-8, find the periodic payment R...Ch. 5.3 - Prob. 8ECh. 5.3 - In Exercises 9-14, find the periodic payment R...Ch. 5.3 - Prob. 10ECh. 5.3 - In Exercises 9-14, find the periodic payment R...Ch. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Suppose payments were made at the end of each...Ch. 5.3 - Suppose payments will be made for 612 years at the...Ch. 5.3 - Suppose payments will be made for 914 years at the...Ch. 5.3 - LOAN AMORTIZATION A sum of 100,000 is to be repaid...Ch. 5.3 - Prob. 20ECh. 5.3 - HOME MORTAGES Complete the following table which...Ch. 5.3 - FINANCING A HOME The Flemings secured a bank loan...Ch. 5.3 - FINANCING A CAR The price of a new car is 20,000....Ch. 5.3 - FINANCIAL ANALYSIS A group of private investors...Ch. 5.3 - FINANCING A HOME The Taylors have purchased a...Ch. 5.3 - FINANCIAL PLANNING Jessica wants to accumulate...Ch. 5.3 - SINKING FUNDS A city has 2.5 million worth of...Ch. 5.3 - TRUST FUNDS Carl is the beneficiary of a 20,000...Ch. 5.3 - SINKING FUNDS Lowell Corporation wishes to...Ch. 5.3 - SINKING FUNDS The management of Gibraltar...Ch. 5.3 - RETIREMENT ACCOUNTS Andrea, a self-employed...Ch. 5.3 - STUDENT LOANS Joe Secure a loan of 12000 3years...Ch. 5.3 - RETIREMENT ACCOUNTS Robin wishes to accumulate...Ch. 5.3 - FINANCING COLLEGE EXPENSES Yumis grandparents...Ch. 5.3 - IRAs Martin has deposited 375 in his IRA at the...Ch. 5.3 - RETIREMENT PLANNING Jennifer is the owner of a...Ch. 5.3 - Prob. 37ECh. 5.3 - FINANCING A CAR Darla purchased a new car during a...Ch. 5.3 - AUTO FINANCING Dan is contemplating trading in his...Ch. 5.3 - AUTO FINANCING Paula is considering the purchase...Ch. 5.3 - FINANCING A HOME Eight years ago, Kim secured a...Ch. 5.3 - FINANCING A HOME Sarah secured a bank loan of...Ch. 5.3 - PERSONAL LOANS Two years ago, Paul borrowed 10,000...Ch. 5.3 - INVESTMENT ANALYSIS Since he was 22 years old, Ben...Ch. 5.3 - BALLOON PAYMENT MORTGAGES Emilio is securing a...Ch. 5.3 - BALLOON PAYMENT MORTGAGES Olivia plans to secure a...Ch. 5.3 - HOME REFINANCING Four years ago, Emily secured a...Ch. 5.3 - HOME REFINANCING Five years ago, Diane secured a...Ch. 5.3 - REFINANCING A HOME The Sandersons are planning to...Ch. 5.3 - REFINANCING A HOME Josh purchased a condominium 5...Ch. 5.3 - Prob. 51ECh. 5.3 - ADJUSTABLE-RATE MORTGAGES George secured an...Ch. 5.3 - Prob. 53ECh. 5.3 - REFINANCING A HOME: The Martinezes are planning to...Ch. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.3 - HOME AFFORDABILITY: Suppose that the Carlsons have...Ch. 5.3 - Prob. 58ECh. 5.3 - Prob. 1TECh. 5.3 - Prob. 2TECh. 5.3 - Prob. 3TECh. 5.3 - Prob. 4TECh. 5.3 - Prob. 5TECh. 5.3 - Prob. 6TECh. 5.3 - Prob. 7TECh. 5.3 - Prob. 8TECh. 5.3 - Prob. 9TECh. 5.3 - Prob. 10TECh. 5.4 - Suppose an arithmetic progression has first term a...Ch. 5.4 - Prob. 2CQCh. 5.4 - Prob. 1ECh. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Find the sum of first 15 terms of the arithmetic...Ch. 5.4 - Prob. 10ECh. 5.4 - Find the sum of odd integers between 14 and 58.Ch. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - SALES GROWTH Moderne Furniture Company had sales...Ch. 5.4 - EXERCISE PROGRAM As part of her fitness program,...Ch. 5.4 - COST OF DRILLING A 100-ft oil well is to be...Ch. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - SUM-OF-THE-YEARS-DIGITS METHOD OF DEPRECIATION One...Ch. 5.4 - SUM-OF-THE-YEARS-DIGITS METHOD OF DEPRECIATION The...Ch. 5.4 - In Exercises 23-28, determine which of the...Ch. 5.4 - In Exercises 23-28, determine which of the...Ch. 5.4 - Prob. 25ECh. 5.4 - In Exercises 23-28, determine which of the...Ch. 5.4 - In Exercises 23-28, determine which of 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 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - DOUBLE DECLINING-BALANCE METHOD OF DEPRECIATION...Ch. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.CRQ - Fill in the blanks. a. Simple interest is computed...Ch. 5.CRQ - Prob. 2CRQCh. 5.CRQ - Prob. 3CRQCh. 5.CRQ - Prob. 4CRQCh. 5.CRQ - Prob. 5CRQCh. 5.CRQ - Prob. 6CRQCh. 5.CRQ - Prob. 7CRQCh. 5.CRQ - Prob. 8CRQCh. 5.CRE - Prob. 1CRECh. 5.CRE - Prob. 2CRECh. 5.CRE - Find the effective rate of interest corresponding...Ch. 5.CRE - Prob. 4CRECh. 5.CRE - Prob. 5CRECh. 5.CRE - Prob. 6CRECh. 5.CRE - Prob. 7CRECh. 5.CRE - Prob. 8CRECh. 5.CRE - Prob. 9CRECh. 5.CRE - Prob. 10CRECh. 5.CRE - Prob. 11CRECh. 5.CRE - Prob. 12CRECh. 5.CRE - Prob. 13CRECh. 5.CRE - Prob. 14CRECh. 5.CRE - Prob. 15CRECh. 5.CRE - Prob. 16CRECh. 5.CRE - Prob. 17CRECh. 5.CRE - Prob. 18CRECh. 5.CRE - Prob. 19CRECh. 5.CRE - Prob. 20CRECh. 5.CRE - Prob. 21CRECh. 5.CRE - Prob. 22CRECh. 5.CRE - MUTUAL FUNDS Juan invested 24.000 in a mutual fund...Ch. 5.CRE - COLLEGE SAVINGS PROGRAM The Blakes have decided to...Ch. 5.CRE - RETIREMENT ACCOUNTS Mai Lee has contributed 200 at...Ch. 5.CRE - Prob. 26CRECh. 5.CRE - INSTALLMENT FINANCING Peggy made a down payment of...Ch. 5.CRE - HOME FINANCING The Turners have purchased a house...Ch. 5.CRE - Prob. 29CRECh. 5.CRE - Prob. 30CRECh. 5.CRE - SINKING FUNDS The management of a condominium...Ch. 5.CRE - CREDIT CARD PAYMENTS The outstanding balance on...Ch. 5.CRE - Prob. 33CRECh. 5.BMO - Find the accumulated amount at the end of 3 years...Ch. 5.BMO - Prob. 2BMOCh. 5.BMO - Prob. 3BMOCh. 5.BMO - Prob. 4BMOCh. 5.BMO - Prob. 5BMOCh. 5.BMO - a. Find the sum of the first ten terms of the...
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