MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
11th Edition
ISBN: 9781323751671
Author: Lial
Publisher: PEARSON C
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Textbook Question
Chapter 5, Problem 3CE
Investing Suppose Shelia in Exercise 1 stops adding money to her account when she turns 55, but the account continues to earn a return of 6% per year.
a. If we use the Rule of 72, how old will Shelia be when the balance has doubled?
b. What will the balance be when it has doubled?
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Q1) Classify the following statements as a true or false statements
a. Any ring with identity is a finitely generated right R module.-
b. An ideal 22 is small ideal in Z
c. A nontrivial direct summand of a module cannot be large or small submodule
d. The sum of a finite family of small submodules of a module M is small in M
A module M 0 is called directly indecomposable if and only if 0 and M are
the only direct summands of M
f. A monomorphism a: M-N is said to split if and only if Ker(a) is a direct-
summand in M
& Z₂ contains no minimal submodules
h. Qz is a finitely generated module
i. Every divisible Z-module is injective
j. Every free module is a projective module
Q4) Give an example and explain your claim in each case
a) A module M which has two composition senes 7
b) A free subset of a modale
c) A free module
24
d) A module contains a direct summand submodule 7,
e) A short exact sequence of modules 74.
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Q.1) Classify the following statements as a true or false statements:
a. If M is a module, then every proper submodule of M is contained in a maximal
submodule of M.
b. The sum of a finite family of small submodules of a module M is small in M.
c. Zz is directly indecomposable.
d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M.
e. The Z-module has two composition series.
Z
6Z
f. Zz does not have a composition series.
g. Any finitely generated module is a free module.
h. If O→A MW→ 0 is short exact sequence then f is epimorphism.
i. If f is a homomorphism then f-1 is also a homomorphism.
Maximal C≤A if and only if is simple.
Sup
Q.4) Give an example and explain your claim in each case:
Monomorphism not split.
b) A finite free module.
c) Semisimple module.
d) A small submodule A of a module N and a homomorphism op: MN, but
(A) is not small in M.
Prove that
Σ
prime p≤x
p=3 (mod 10)
1
Ρ
=
for some constant A.
log log x + A+O
1
log x
"
Chapter 5 Solutions
MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
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
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