Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 2.3, Problem 24E
In Exercises 19–24, find the periodic withdrawals for the given annuity account. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals.) [hinT: See Quick Example 4.] the15 years
$150,000 at 5%, paid out monthly for 15 years, leaving $20,000 in the account at the end of
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
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2) Given the following matrices A =
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and B =
0
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-3
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find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
Find the Laplace Transform of the function to express it in frequency domain form.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Chapter 2 Solutions
Finite Mathematics
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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