MATHEMATICS WITH APPL....-ACCESS
MATHEMATICS WITH APPL....-ACCESS
12th Edition
ISBN: 9780135240687
Author: Lial
Publisher: PEARSON
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Unitary Method
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Chapter 5.3, Problem 52E

(a)

To determine

To calculate: Each semiannual interest payment.

(b)

To determine

To calculate: Payment made into the fund.

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Chapter 5.3, Problem 51E
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(c) Let 6 0 0 A = -10 4 8 5 1 2 (i) Find the characteristic polynomial of A and factorise it. (ii) Determine all eigenvalues of A and find bases for the corresponding eigenspaces. (iii) Is A diagonalisable? Give reasons for your answer.
Drapers' Bank offers loans and deposits with interest rate 5% compounded monthly. (a) If you deposit £5,000 in a Drapers' Bank account, how much money will be in your account 4 years from now? Enter your answer correct to the nearest pound. Answer: (b) What is the effective interest rate of a Drapers' Bank account? Enter your answer as a percentage correct to 3 significant digits. Answer: (c) Drapers' Bank gives you a loan of £60,000 to start a new company under the condition that you pay back the loan in monthly instalments of EC to be paid at the end of each month over the next 5 years, starting at the end of this month. Determine the value of C and enter it correct to the nearest pound. Answer:
most 2, and let Let P2 denote the vector space of polynomials of degree at D: P2➡ P2 be the transformation that sends a polynomial p(t) = at² + bt+c in P2 to its derivative p'(t) 2at+b, that is, D(p) = p'. (a) Prove that D is a linear transformation. (b) Find a basis for the kernel ker(D) of the linear transformation D and compute its nullity. (c) Find a basis for the image im(D) of the linear transformation D and compute its rank. (d) Verify that the Rank-Nullity Theorem holds for the linear transformation D. (e) Find the matrix representation of D in the standard basis (1,t, t2) of P2.

Chapter 5 Solutions

MATHEMATICS WITH APPL....-ACCESS

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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