© Copyright 2001-2008 by M. Ray Gregg. All rights reserved. 1 Federal Income Tax Business Related Deductions.

Slides:



Advertisements
Similar presentations
 INCOME Self-Employment - Business. Scope  Beginning in tax year 2010, Schedule C is in scope on a limited basis for volunteer preparers. Schedule C.
Advertisements

Individual Income Taxes Copyright ©2009 Cengage Learning
Tax Related Issues Lisa Riccardi Tax Manager, VonLehman & Company.
McGraw-Hill/Irwin ©The McGraw-Hill Companies, Inc Copyright © 2014 McGraw-Hill Education. All rights reserved. No reproduction or distribution without.
Chapter 05 Itemized Deductions “A person should be taxed according to his means” --The Talmud Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights.
Chapter 8 - Employee Expenses Independent Contractor v. Employee Miscellaneous Itemized Deductions - 2% limit Meals and Entertainment - Substantiation.
© Copyright by M. Ray Gregg. All rights reserved. 1 Federal Income Tax Business Related Deductions.
Tax Planning for Small Business Owners Amanda Hansen Laura Robins Holly Thomson.
© Copyright by M. Ray Gregg. All rights reserved. 1 Federal Income Tax Personal (Itemized) Deductions.
Tax Information for Real Estate Agents Presented by Walker Business Systems.
©The McGraw-Hill Companies, Inc. 2008McGraw-Hill/Irwin Chapter 5 Itemized Deductions “A person should be taxed according to his means.” The Talmud.
McGraw-Hill/Irwin Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter 06 Individual Deductions.
Copyright © 2014 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
BA 128A -Agenda 2-22 Questions from lecture Answers on the web Ch1-6, Ch7 will be posted after section Review Section - Wednesday 5-6:30? Office hours.
Copyright © 2014 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
9-1 ©2011 Pearson Education, Inc. Publishing as Prentice Hall.
© Copyright by M. Ray Gregg. All rights reserved. 1.
© 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license.
Copyright © 2015 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of McGraw-Hill Education.
9-1 Non-Corporate Forms of Business  Sole Proprietorship  Partnership  LLC  S corporation.
Employee Expenses and Deferred Compensation
© Copyright by M. Ray Gregg. All rights reserved. 1 Federal Income Tax Business Related Deductions.
Federal Income Tax Personal (Itemized) Deductions.
Company Car or Reimbursement Plan Chapter 53 Employee Benefit & Retirement Planning Copyright 2011, The National Underwriter Company1 What is it? Company.
© 2012 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license.
Chapter 13: Individual Income Tax and Tax Planning Chapter 13 Individual Income Tax and Tax Planning.
Taxes & The Pampered Chef by McKenzie Rogers, C.P.A.
©2003 South-Western College Publishing, Cincinnati, Ohio CHAPTER 4 Self-Employed and Employee Expenses Self-Employed and Employee Expenses.
Income Tax Fundamentals 2009 edition Gerald E. Whittenburg Martha Altus-Buller Student’s Copy 2009 Cengage Learning.
TAXABILITY OF FRINGE BENEFITS What is a Fringe Benefit? When Is It Taxable? Presented By: Tammie Downey, CPP Vice President, WPA APA AVP / Assistant Payroll.
Federal Income Tax (Business) Deductions. © Copyright by M. Ray Gregg. All rights reserved. 2 Perspective.
CHAPTER 4 Business Income & Expenses Part II Income Tax Fundamentals 2011 edition Gerald E. Whittenburg Martha Altus-Buller Student’s Copy 2011 Cengage.
Basic Record Keeping Requirements for Tax Purposes You MUST keep: 1.Receipts 2.Sales Slips 3.Invoices 4.Bank Deposit Slips 5.Cancelled Checks 6.Other Documents.
CHAPTER 3 Business Income & Expenses Part I Income Tax Fundamentals 2014 Student Slides Gerald E. Whittenburg Martha Altus-Buller Steven Gill 2014 Cengage.
Chapter 9 Employee Expenses and Deferred Compensation.
Itemized Deductions Chapter 10 Medical Expenses Taxes Interest Expense Charitable Contributions Miscellaneous.
Who:Cyndy Harnett Cyndy currently works at Kelley Services, a staffing company that specializes in filling business and education positions. Come find.
Federal Income Tax Charitable Contributions. 2 Contributions Problem
© 2010 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license.
© Copyright by M. Ray Gregg. All rights reserved.1 Federal Income Tax Overview for Individuals.
Chapter 7 Self-Employment ©2007 CCH. All Rights Reserved West Peterson Ave. Chicago, IL CCH Essentials of Federal Income.
Chapter 7 Individual From AGI Deductions © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized.
Tax Consequences of Personal Activities 17-1 Chapter 17 McGraw-Hill/Irwin Copyright © 2013 by The McGraw-Hill Companies, Inc. All rights reserved.
©2008 Thomson South-Western, a part of The Thomson Corporation. Thomson, the Star logo, and South-Western are trademarks used herein under license. 1 CHAPTER.
©2007 Thomson South-Western, a part of The Thomson Corporation. Thomson, the Star logo, and South-Western are trademarks used herein under license. CHAPTER.
AC256: Federal Taxation Seminar: Unit 9 April 29, 2011 Emil Koren, CPA, MBA.
Income Tax Fundamentals 2010 edition Gerald E. Whittenburg Martha Altus-Buller Student’s Copy 2010 Cengage Learning.
Business Income Schedule C Pub 4012, Tab D (Federal 1040-Line 12) (NJ 1040-Line 17) NJ TAX TY2014 v11.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
Chapter 9 Transportation Travel Moving Expense (deduction FOR) Education Entertainment Other ……. Home Office.
© 2014 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part, except for use as permitted in a license.
Income - Business Form 1040, Line 12 Pub 4012, Tab 2 LEVEL 3 TOPIC Income - Business v0.8 VO.ppt 11/19/20101DRAFT NJ Training TY2010 v0.8.
9-1 ©2008 Prentice Hall, Inc ©2008 Prentice Hall, Inc. EMPLOYEE EXPENSES & DEFERRED COMPENSATION (1 of 2)  Classification and limitations of employee.
Personal Credits from Chapter 14. © Copyright 2007 by M. Ray Gregg. All rights reserved. 2 Personal Credits Child Care Credit Child Tax Credit HOPE Scholarship.
AC256: Federal Taxation Seminar: Unit 7 July 3, 2011 Emil Koren, CPA, MBA.
© Copyright by M. Ray Gregg. All rights reserved. 1 Federal Income Tax (Business) Deductions.
McGraw-Hill Education Copyright © 2016 McGraw-Hill Education. All rights reserved. No reproduction or distribution without the prior written consent of.
Chapter 6 Individual For AGI Deductions © 2014 by McGraw-Hill Education. This is proprietary material solely for authorized instructor use. Not authorized.
Chapter 6 Deductions and Losses. Learning Objectives Distinguish between deductions for and from AGI Discuss the criteria for deducting business and investment.
Chapter 5 Introduction to Business Expenses Murphy & Higgins
Introduction to Business Expenses
FINANCIAL EXECUTIVES INTERNATIONAL
©2007 Prentice Hall, Inc..
Individual From AGI Deductions
Hunterdon/Somerset Association of Realtors - Taxes for Realtors
Introduction to the Tax Cuts and Jobs Act: Overview of What the New Federal Tax Law Means for Your Business and You Jon Kurrle, VP of Federal Government.
Individual Deductions
Notes/Handouts Pub 17, Chapter 21 through 29 Pub 4012, Tab 4
Presentation transcript:

© Copyright by M. Ray Gregg. All rights reserved. 1 Federal Income Tax Business Related Deductions

© Copyright by M. Ray Gregg. All rights reserved. 2 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 3 Automobile Expenses Choose larger of –Actual costs (business use) –Standard mileage rate allowed

© Copyright by M. Ray Gregg. All rights reserved. 4 Automobile Expenses Business $.?? Moving Medical Charitable Contribution

© Copyright by M. Ray Gregg. All rights reserved. 5 Automobile Expenses Business $.505 pg 9 – 11 Moving Medical Charitable Contribution Note prev yrs’ amts: ’01 = $.345 ’02 = $.365 ’03 = $.36 ’04 = $.375 ’05 = $.405 $.485 ’06 = $.445 ’07 = $.485

© Copyright by M. Ray Gregg. All rights reserved. 6 Automobile Expenses Business $.505 pg 9 – 11 Moving Medical Charitable Contribution Note prev yrs’ amts: ’01 = $.345 ’02 = $.365 ’03 = $.36 ’04 = $.375 ’05 = $.405 $.485 ’06 = $.445 ’07 = $.485

© Copyright by M. Ray Gregg. All rights reserved. 7 Automobile Expenses Business Before 7/1 $.505 After 6/30 $.585 pg 9 – 11 Irs.gov Moving Medical Charitable Contribution Note prev yrs’ amts: ’01 = $.345 ’02 = $.365 ’03 = $.36 ’04 = $.375 ’05 = $.405 $.485 ’06 = $.445 ’07 = $.485

© Copyright by M. Ray Gregg. All rights reserved. 8 Decision Point TEXTBOOK amounts? UPDATED amounts? For homework, class, and exams, do we use … YOUR vote matters.

© Copyright by M. Ray Gregg. All rights reserved. 9 Automobile Expenses Choose larger of –Actual costs (business use) –Standard mileage rate allowed Problem 9 – 60 StandardActual

© Copyright by M. Ray Gregg. All rights reserved. 10 Problem Standard Business Miles24,000 x Std Rate$.505 Sub-total$12,120 Parking & Tolls 100 Total STD Mileage Allowance$12,120 Actual

© Copyright by M. Ray Gregg. All rights reserved. 11 Problem Actual Gas & Oil$ 5,000 Repairs1,400 Depreciation4,700 Insurance & License 1,300 Total to Apportion$12,400 x Bus Use 60% Sub-total$ 7,440 Exp NOT Apportioned 100 Total ACTUAL Costs$ 7,540 Standard

© Copyright by M. Ray Gregg. All rights reserved. 12 Problem Standard vs. Actual Total STANDARD Costs$12,120 Total ACTUAL Costs$ 7,540 Choose Larger$12,120 Less: Reimbursement 7,200 Deductible Amount$ 4,920

© Copyright by M. Ray Gregg. All rights reserved. 13 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 14 Entertainment Expenses “Directly Related” “Associated With” Substantiation Not lavish or extravagant 50% Problem

© Copyright by M. Ray Gregg. All rights reserved. 15 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 16 Moving Expenses General Requirements –Must move 50 miles –Must stay in new location 39 weeks –Only “direct” expenses deductible

© Copyright by M. Ray Gregg. All rights reserved. 17 Moving Expenses Prior to 1981 –expenses classified as “direct” and “indirect” –“direct” costs fully deductible; limits on “indirect” costs –costs (in excess of reimbursement) deductible FOR A.G.I.

© Copyright by M. Ray Gregg. All rights reserved. 18 Moving Expenses 1981 – 1996 –direct and indirect costs deductible FROM –reimbursement included in Gross Income Present Law –only DIRECT costs deductible –costs deductible FOR A.G.I.

© Copyright by M. Ray Gregg. All rights reserved. 19 Moving Expenses 1981 – 1996 –direct and indirect costs deductible FROM –reimbursement included in Gross Income Present Law –only DIRECT costs deductible –costs deductible FOR A.G.I. Problem 9 – 64

© Copyright by M. Ray Gregg. All rights reserved. 20 Automobile Expenses Business $50.5 * pg 9 – 11 Moving $.?? Medical Charitable Contribution

© Copyright by M. Ray Gregg. All rights reserved. 21 Automobile Expenses Business $50.5 * pg 9 – 11 Moving $.19 pg 9 – 19 Medical Charitable Contribution Note prev yrs: $.12 in 2001 $.13 in 2002 $.12 in 2003 $.14 in 2004 $.15 $.22 in 2005 $.20 in 2007

© Copyright by M. Ray Gregg. All rights reserved. 22 Automobile Expenses Business Before 7/1 $.505 After 6/30 $.585 pg 9 – 11 irs.gov Moving Before 7/1 $.19 After 6/30 $.27 pg 9 – 19 irs.gov Medical Charitable Contribution Note prev yrs: $.12 in 2001 $.13 in 2002 $.12 in 2003 $.14 in 2004 $.15 $.22 in 2005 $.20 in 2007

© Copyright by M. Ray Gregg. All rights reserved. 23 Decision Point TEXTBOOK amounts? UPDATED amounts? For homework, class, and exams, do we use … You’ve already decided!

© Copyright by M. Ray Gregg. All rights reserved. 24 Automobile Expenses Business $50.5 pg 9 – 11 Moving $.19 pg 9 – 19 Medical Charitable Contribution

© Copyright by M. Ray Gregg. All rights reserved. 25 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 26 Education Expenses Ways for education costs to be deductible: –Required by law –Required by employer –Maintain or improve skills Problem 9 – 26

© Copyright by M. Ray Gregg. All rights reserved. 27 Problem CPA Review$ 400 Law School4,000 Continuing Education600 $5,000 $500 Deductible FROM – Tier 2 New trade or business personal

© Copyright by M. Ray Gregg. All rights reserved. 28 Education Expenses Ways for education costs to be deductible: –Required by law –Required by employer –Maintain or improve skills Problem 9 – 26 Problem 9 – 27

© Copyright by M. Ray Gregg. All rights reserved. 29 Problem Teachers generally allowed? –Sometimes required by law or employer –Maintain and improve skills New trade or business? –elementary to secondary? –biology to art? –classroom to counselor? –teacher to principal?

© Copyright by M. Ray Gregg. All rights reserved. 30 Education Expenses Ways for education costs to be deductible: –Required by law –Required by employer –Maintain or improve skills Problem 9 – 26 Problem 9 – 27 Problem 9 – 65

© Copyright by M. Ray Gregg. All rights reserved. 31 Problem a.Law school? Not deductible – new trade or bus b.Self-employed accountant? $1,800 FOR c.MBA for executive? $5,000 FROM, Tier 2 d.Graduate courses for teacher? $1,000 FROM, Tier 2 e.Bar review for recent grad? Not deductible – personal

© Copyright by M. Ray Gregg. All rights reserved. 32 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 33 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 34 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 35 Home Office Expenses Controversial

© Copyright by M. Ray Gregg. All rights reserved. 36 Home Office Expenses Controversial Requirements: –“exclusive use” –principal place of business (1998) –meetings with customers/clients etc. –separate structure? –“convenience of the employer”

© Copyright by M. Ray Gregg. All rights reserved. 37 Home Office Expenses Qualifications? Problem 9 – 28 –(do b, a, then c) What’s deductible?

Pub. 587 page 7

Publication 587, page 7

© Copyright by M. Ray Gregg. All rights reserved. 40 What’s Deductible? Business Incomexxxx Less: Regular Business Expenses x Sub-Totalxxx Home Office Exp Deductible Anyway x Sub-Totalxx Less: Other Home Office Expensesx Net Incomex

© Copyright by M. Ray Gregg. All rights reserved. 41 See Sch C, page B-21

© Copyright by M. Ray Gregg. All rights reserved. 42 Form 8829

© Copyright by M. Ray Gregg. All rights reserved. 43 Home Office Expenses Qualifications? Problem 9 – 28 –(do b, a, then c) What’s deductible? Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 44 Problem 9 – 67 Studio deductible? Den deductible?

© Copyright by M. Ray Gregg. All rights reserved. 45 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 46 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 47 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 48 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 49 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 50 Problem 9 – 67 (a)

© Copyright by M. Ray Gregg. All rights reserved. 51 Problem 9 – 67 (a)

© Copyright by M. Ray Gregg. All rights reserved. 52 Problem 9 – 67 (a)

© Copyright by M. Ray Gregg. All rights reserved. 53 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 54 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 55 Problem 9 – 67 Now What?

© Copyright by M. Ray Gregg. All rights reserved. 56 Problem Income$40,000 Exp of Business2,000 Sub-total$38,000 Exp Ded Anyway700 Sub-total37,300

© Copyright by M. Ray Gregg. All rights reserved. 57 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 58 Problem 9 – 67 (b)

© Copyright by M. Ray Gregg. All rights reserved. 59 Problem 9 – 67

© Copyright by M. Ray Gregg. All rights reserved. 60 Problem 9 – 67 (a) Note: 90% of these deductible as itemized deductions.

© Copyright by M. Ray Gregg. All rights reserved. 61 Problem 9 – 67 (b)

© Copyright by M. Ray Gregg. All rights reserved. 62 Problem 9 – 67 (b) Income$2,500 Exp of Business2,000 Sub-total$ 500 Exp Ded Anyway Sub-total

© Copyright by M. Ray Gregg. All rights reserved. 63 Problem 9 – 67 (b)

© Copyright by M. Ray Gregg. All rights reserved. 64 Problem 9 – 67 (b)

© Copyright by M. Ray Gregg. All rights reserved. 65 Problem 9 – 67 (b) Income$2,500 Exp of Business 2,000 Sub-total$ 500 Exp Ded Anyway 700 Sub-total($ 200) Other Home Exp -0- Net Income (Loss)($ 200)

© Copyright by M. Ray Gregg. All rights reserved. 66 Problem 9 – 67 (b)

© Copyright by M. Ray Gregg. All rights reserved. 67 Problem 9 – 67 (b)

© Copyright by M. Ray Gregg. All rights reserved. 68 Problem 9 – 67 (b)

© Copyright by M. Ray Gregg. All rights reserved. 69 Problem 9 – 67 (b) Excess Direct Exp$200 10% of other Exp of Home???

© Copyright by M. Ray Gregg. All rights reserved. 70 Problem 9 – 67 (b)

© Copyright by M. Ray Gregg. All rights reserved. 71 Problem 9 – 67 (b) Carryover

© Copyright by M. Ray Gregg. All rights reserved. 72 Problem 9 – 67 (b) Excess Direct Exp$200 10% of other Exp of Home500 Carryover

© Copyright by M. Ray Gregg. All rights reserved. 73 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 74 Business Expenses Self-employed –“for” Employee –Reimbursed? Yes=“for” No=“from”

© Copyright by M. Ray Gregg. All rights reserved. 75 Reimbursements References –Text Table 9 - 2, page –Publication 17, YFIT, Table

© Copyright by M. Ray Gregg. All rights reserved. 76 Plans Accountable Non-Accountable

© Copyright by M. Ray Gregg. All rights reserved. 77 Plans Accountable Non-Accountable Recommend Problem

© Copyright by M. Ray Gregg. All rights reserved. 78 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 79 Reimbursements Problem

© Copyright by M. Ray Gregg. All rights reserved. 80 Problem 9 – 57 In Textbook

© Copyright by M. Ray Gregg. All rights reserved. 81 Problem 9 – 57 Reimbursed $3,000 $5,000 60%

© Copyright by M. Ray Gregg. All rights reserved. 82 Problem 9 – 57

© Copyright by M. Ray Gregg. All rights reserved. 83 Problem 9 – 57

© Copyright by M. Ray Gregg. All rights reserved. 84 Problem 9 – 57

© Copyright by M. Ray Gregg. All rights reserved. 85 Problem 9 – 57

© Copyright by M. Ray Gregg. All rights reserved. 86 Problem 9 – 57

© Copyright by M. Ray Gregg. All rights reserved. 87 Problem 9 – 57

© Copyright by M. Ray Gregg. All rights reserved. 88 Problem 9 – 57 $200 $1,800

© Copyright by M. Ray Gregg. All rights reserved. 89 Text Page 9 – 57

© Copyright by M. Ray Gregg. All rights reserved. 90 Another Approach

© Copyright by M. Ray Gregg. All rights reserved. 91 4,000 1,000

© Copyright by M. Ray Gregg. All rights reserved. 92 Another Approach 4/5 = 80%1/5 = 20%

© Copyright by M. Ray Gregg. All rights reserved. 93 Another Approach 4/5 = 80%1/5 = 20%

© Copyright by M. Ray Gregg. All rights reserved. 94 Another Approach 4/5 = 80%1/5 = 20%

© Copyright by M. Ray Gregg. All rights reserved. 95 Another Approach

© Copyright by M. Ray Gregg. All rights reserved. 96 Another Approach

© Copyright by M. Ray Gregg. All rights reserved. 97 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6) Itemized Deductions

© Copyright by M. Ray Gregg. All rights reserved. 98 Chapter 9 Travel and Transportation Automobile Expenses Entertainment Moving Expenses Education Expenses Home Office Reimbursements Hobby losses (from Chap 6)

© Copyright by M. Ray Gregg. All rights reserved. 99 Hobby Losses Criteria Consequences Order of deductible expenses –Tier 1: deductible anyway (itemized) –Tier 2: other exp (not reduce basis) –Tier 3: expenses that reduce basis Problems and

© Copyright by M. Ray Gregg. All rights reserved. 100 Problem 6 – 54

© Copyright by M. Ray Gregg. All rights reserved. 101 Problem 6 – 54

© Copyright by M. Ray Gregg. All rights reserved. 102 Problem 6 – 54

© Copyright by M. Ray Gregg. All rights reserved. 103 Problem 6 – 54

© Copyright by M. Ray Gregg. All rights reserved. 104 Problem 6 – 54

© Copyright by M. Ray Gregg. All rights reserved. 105 Problem 6 – 54

© Copyright by M. Ray Gregg. All rights reserved. 106 Problem 6 – 55

© Copyright by M. Ray Gregg. All rights reserved. 107