FINITE MATHEMATICS >PRINT UPGRADE<
7th Edition
ISBN: 9780357667286
Author: Waner
Publisher: CENGAGE L
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Chapter 2, Problem 23RE
To determine
To calculate: The time it would take to accumulate $10,000 by depositing $100 at the end of each month in the account earning
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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 2 Solutions
FINITE MATHEMATICS >PRINT UPGRADE<
Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...
Ch. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - Prob. 16ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Prob. 29ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Prob. 33ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Prob. 35ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - Prob. 50ECh. 2.1 - Treasury Bills At auction on August 18, 2005,...Ch. 2.1 - Treasury Bills At auction on August 18, 2005,...Ch. 2.1 - Prob. 53ECh. 2.1 - In the formula FV=PV(1+in), how is the slope of...Ch. 2.1 - Given that FV=0.5n+1,000, for what monthly...Ch. 2.1 - Given that FV=5t+400, for what annual interest...Ch. 2.1 - We said that the choice of which of the two...Ch. 2.1 - Refer to Exercise 57. Show that using the formula...Ch. 2.1 - Prob. 59ECh. 2.1 - Prob. 60ECh. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - Savings You deposit $1,000 in an account at the...Ch. 2.2 - Investments You invest $10,000 in Rapid Growth...Ch. 2.2 - Depreciation: 2008 Financial Crisis During 2008...Ch. 2.2 - Depreciation: 2008 Financial Crisis During 2008...Ch. 2.2 - Bonds You want to buy a 10-year bond with a...Ch. 2.2 - Bonds You want to buy a 15-year bond with a...Ch. 2.2 - Investments When I was considering what to do with...Ch. 2.2 - Investments When I was considering what to do with...Ch. 2.2 - Depreciation During a prolonged recession,...Ch. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Sales My recent marketing idea, the Miracle Algae...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Retirement Planning I want to be earning an annual...Ch. 2.2 - Prob. 44ECh. 2.2 - Inflation Inflation has been running 2% per year....Ch. 2.2 - Prob. 46ECh. 2.2 - Inflation Housing prices have been rising 6% per...Ch. 2.2 - Prob. 48ECh. 2.2 - Constant Dollars Inflation is running 3% per year...Ch. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Investments You are offered three investments. The...Ch. 2.2 - History Legend has it that a band of Lenape...Ch. 2.2 - History Repeat Exercise 53, assuming that the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - Prob. 65ECh. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - Prob. 69ECh. 2.2 - Investments Determine when, to the nearest year,...Ch. 2.2 - Epidemics At the start of 1985 the incidence of...Ch. 2.2 - Depreciation My investment in Genetic Splicing,...Ch. 2.2 - Prob. 73ECh. 2.2 - Bonds Suppose that, in January 2040, you buy a...Ch. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.2 - Prob. 78ECh. 2.2 - Prob. 79ECh. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - Prob. 82ECh. 2.2 - Prob. 83ECh. 2.2 - Prob. 84ECh. 2.2 - Prob. 85ECh. 2.2 - Prob. 86ECh. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - Prob. 2ECh. 2.3 - Prob. 3ECh. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 712, find the periodic payments...Ch. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - In Exercises 712, find the periodic payments...Ch. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - In Exercises 1318, find the present value of the...Ch. 2.3 - In Exercises 1318, find the present value of the...Ch. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - In Exercises 1924, find the periodic withdrawals...Ch. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - In Exercises 1924, find the periodic withdrawals...Ch. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - Prob. 30ECh. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - Prob. 39ECh. 2.3 - In Exercises 3944, determine the selling price,...Ch. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Prob. 54ECh. 2.3 - Pensions Your pension plan is an annuity with a...Ch. 2.3 - Pensions Jennifers pension plan is an annuity with...Ch. 2.3 - Prob. 57ECh. 2.3 - Pensions Megs pension plan is an annuity with a...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Prob. 72ECh. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Car Loans While shopping for a car loan, you get...Ch. 2.3 - Prob. 78ECh. 2.3 - Refinancing Your original mortgage was a $96,000,...Ch. 2.3 - Refinancing Kara and Michael take out a $120,000,...Ch. 2.3 - Prob. 81ECh. 2.3 - Note: In Exercises 81 and 82 we suggest the use of...Ch. 2.3 - In Exercises 8390, use a time value of money...Ch. 2.3 - Prob. 84ECh. 2.3 - Prob. 85ECh. 2.3 - Prob. 86ECh. 2.3 - Prob. 87ECh. 2.3 - Prob. 88ECh. 2.3 - Prob. 89ECh. 2.3 - In Exercises 8390, use a time value of money...Ch. 2.3 - Prob. 91ECh. 2.3 - Prob. 92ECh. 2.3 - You make equal payments of $200 per month into...Ch. 2.3 - You make equal payments of $400 per month into...Ch. 2.3 - Prob. 95ECh. 2.3 - Prob. 96ECh. 2.3 - We have so far not taken advantage of the fact...Ch. 2.3 - Repeat Exercise 97 for a 10-year, 3.375% bond...Ch. 2.3 - Consider the formula for the future value of an...Ch. 2.3 - Give a non-algebraic justification for the result...Ch. 2 - In Exercises 16, find the future value of the...Ch. 2 - In Exercises 16, find the future value of the...Ch. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - In Exercises 712, find the present value of the...Ch. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Stock Investments Exercises 2934 are based on the...Ch. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Revenue Total online revenues at OHaganBooks.com...Ch. 2 - Net Income Unfortunately, the picture for net...Ch. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Loans OHaganBooks.com is seeking a $250,000 loan...Ch. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RE
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