Solution Manual for Business Math, 11th Edition

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SOLUTIONSMANUALBUSINESSMATHELEVENTHEDITIONCheryl CleavesSouthwest Tennessee Community College, EmeritaMargie HobbsSouthwest Tennessee Community College, EmeritaJeffrey NobleMadison College

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Table of ContentsChapter 1: Review of Whole Numbers and Integers1Chapter 2: Review of Fractions9Chapter 3: Decimals19Chapter 4: Banking29Chapter 5: Equations40Chapter 6: Percents51Chapter 7: Business Statistics62Chapter 8: Trade and Cash Discounts75Chapter 9: Markup and Markdown84Chapter 10: Payroll99Chapter 11: Simple Interest and Simple Discount110Chapter 12: Consumer Credit121Chapter 13: Compound Interest, Future Value, and Present Value130Chapter 14: Annuities and Sinking Funds140Chapter 15: Building Wealth Through Investments155Chapter 16: Mortgages164Chapter 17: Depreciation181Chapter 18: Inventory194Chapter 19: Insurance206Chapter 20: Taxes215Chapter 21: Financial Statements223

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Chapter 11Chapter 1 Review of Whole Numbers and IntegersSection Exercises1-1, p. 91.Twenty-two million, three hundred fifty-six thousand,twenty-seven2.One hundred six billion, three hundred fifty-sevenmillion, two hundred ninety-one thousand, five hundredeighty-two3.Seven hundred thirty million, five hundred thirty-onethousand, nine hundred sixty-eight4.Twenty-one million, seventeen5.Five hundred twenty-three billion, eight hundred million,seven thousand, one hundred ninety6.Seven hundred thirteen million, two hundred fivethousand, five hundred thirty-eight7.14,9858.32,943,6089.17,000,803,07510.50,612,07811.306,54112.300,760,51213.8 is in the tens place. 3 is to its right and is less than 5.Leave 8 and replace 3 with zero; 480.14.7 is in the hundreds place. The digit 6 is on the right andis 5 or more. Add 1 to 7 and replace 6 and 2 with zeros;3,800.15.9 is in the ten-thousands place and 8 is 5 or greater. Soincrease 9 by 1. Since9 + 1 = 10,we record 0 and carry1 to the next place to the left.213.Replace digits tothe right of the ten-thousands place with zeros; 300,000.16.5 is the first digit. 7 is 5 or greater, so add 1 to 5 andreplace all digits to its right with zeros; 60,000.17.$4,000,000,00018.$25,972,80019.6 is in the millions place, 3 on the right is less than 5, soleave 6 as it is and replace all digits on its right withzeros; 86,000,000.20.1 is in the first place. The digit to the right, 5, is 5 ormore, so round up by adding 1 to the 1 in the first place.Replace all digits to the right with zeros; 2,000.21.Negative fifteen thousand, three hundred fourteen dollars22.Negative eight thousand, four hundred twenty dollars23.Negative eight thousand, six hundred thirty-six dollars24.Negative twenty-thousand, one hundred fifty-sevendollars25.$520,000,00026.$1,800,000,0001-2, p. 241.3006007001,600;1,6372.7001,000601,760;1,7103.8001,000501,850;1,8434.6,00020,00030,00056,000;53,8715.8952376.4 155 53 61 9 7.2 103 0 82 7 53 3 8.3 105, 4 0 92, 1 7 63, 2 3 3 9.610.9211.8,18812.40313.2114.1715.1216.417.7306043,80018.904243 61618 0821,69619.1, 005899 04580 4089,445

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2Chapter 1RegionWThFSSuRegion TotalsEastern$72,492$81,948$32,307$24,301$32,589$243,637Southern81,89759,42148,59861,02521,897272,838Central71,70822,09623,22221,50742,801181,334Western61,72371,68752,19641,73722,186249,529Daily Sales Total$287,820$235,152$156,323$148,570$119,473$947,33820.13821.48022.5,31223.$580,41224.166 966363625.40734 13,83813 623023823826.260 R417 4, 4243 41 021 0240427.−828.729.−4230.$23931.432.$5133.2634.−21735.2,9505029555936.689,1003068,910322,97037.57,800,0002,00057,800228,90038.5,730,00030057,300319,10039.Region Totals$243,637$272,838$181,334$249,529$947,338DifferenceGoalActual$1,384,000$947,338$436,662Daily Sales Totals$287,820$235,152$156,323$148,570$119,473$947,338Goal was not reached.40.Total pounds of candy84252,100Number of bags of candy2,1003700Number of boxes of candy7001258R4There are 58 boxes of candy and 4 bags left so 59 boxes willbe needed to ship all the candy. Enough bags and boxes are onhand to package.41.922 R256352 324,800316 88 007 04960704256The average selling price ofeach trailer was nearly $923.42.Total length of fencing needed2104840feetNumber of rolls of fencing needed8405016R40Because a partial roll of fencing cannot be purchased,17 rolls are needed.Cost of 17 rolls of fencing$4917$833Cost of installing fence$1840$840Total cost$833$840$1,673Your bid is the lowest bid and you are likely to get thebusiness.43.Wages3$1521$945Gross profittotalcost of materialscost of laborGross profit$1,673$833$945$10544.883281104Each vendor supplied 1,104 boxes ofcards.45.3481229You will need 29 boxes.46.21960163005660Visitors increased by 5,660.47.200000000500000199500000The sales increase is$199,500,000.

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Chapter 1348.42000000284000000 cents84000000100840000 dollarsSTS paid$840,000for the purchase.49.420000006840000001680000001680000001001680000STS will make a profit of$1,680,000.50.214302326696.9375On average, 6,697 employees work at each location.51.$39,583$23,486$63,069  52.$32,871$29,783$3,088 loss53.291$3$873  54.$63,40812$5,284 55.Numberof reams in warehouse1,3581013,580.If 15,000 reams are needed to process all the storeorders, she needs to order more paper.56.487$12$5,844  Exercise Set, p. 331.$7,000,000,0002.20,0003.264.5,400 hotels; 495,000 rooms; 70 countries; 20 percentminority-owned5.Negative fourteen billion, six hundred seventy-twomillion dollars6.Thirty billion, eight hundred sixty million dollars7.Negative twenty-seven billion, six hundred eighty-fourmillion dollars8.Negative eight billion, nine hundred twenty-two milliondollars9.40010.9,00011.8,20012.350,00013.265,472; 2 is in the hundred-thousands place. 6 is to theright and is more than 5. 300,000.6,316,436; 3 is in the hundred-thousands place. 1 is tothe right and is less than 5. 6,300,000.14.3,899; 3 is in the thousands place. 8 is to the right and ismore than 5.$4,000.15.2,017; 2 is in the thousands place.0 is to the right and is less than 5.2,000 radios.16.$2,499; 4 is in the hundreds place.9 is to the right and is more than 5.$2,500.17.5,00018.4,000,00019.20,000,000,00020.2,000,00021.32,9486,80415,6954157,73963,60122.47385874398741,83223.46,8677,0837235,20959,88224.72385295238161,82525.21,3354,0009,0004,0005,00022,00026.318,93670,00080,00070,00090,000310,00027.8,7593,0008004,0006008,40028.2,6127009003007002,600

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4Chapter 129.6,2884,3006001,3001006,30030.Mental estimation:9090100907080601006809287968572845798671 Kiesha had 671 points.31.Mental estimation:50100405024048963650230 Mary bought 230 items.32.483472497486464146872635 The total labor-hours worked was 2,635.33.5743104210309723 Jorge has 723 cards.34.4,07210,0006,0004,00035.55,63280,00030,00050,00036.56,539,09080,000,00030,000,00050,000,00037.182,902400,000200,000200,00038.7,31010,0005,0005,00039.74,385100,00040,00060,00040.1304288 Sam must order 88 packages.41.840596244 The number of fan belts toorder is 244.42.1487573 Frieda still has 73 tickets.43.13211913 Veronica lost 13 pounds.44.322759  45.$21$47$26  46.1412141226 47.3618361818   48.465812 49.$35$52$17  50.3721372158 51.72427242114  52.5,93183529 655177 934 744 84,952,38553.1,9873947 948178835961782,87854.3350016,50055.7,8706,00047,220,00056.5,56583950 085166 954 452 04,669,03557.78,62687550 3826 290 086,840,46258.2833,000849,00059.405400162,00060.7,0007,4893034210,00029 956224 67254,626

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Chapter 1561.3,1003,1285004781,550,00025 024218 961 251 21,495,18462.400378500546200,0002 26815 12189 0206,38863.400378707228,00075626 4627,21664.285140 The center requires 140 pieces offruit.65.20176336.1666667 There are approximately 336radios per thousand people.66.2$15$30; $30$27$3Two filters can be purchased at asavings of $3.67.793988.11111111 There are approximately 88 TVsper thousand people.68.777716 1,232161 12462112771121,23269.8,0008,805 R690 748,43185 748,43168068 468 0430431425670.500505 R161300 174,891346 174,8911731 8901 8911 73016171.33533512 4,020123 6670423 35364,020606072.483,0003,000483316173.73,460,00010,0007,34617,34674.835,0005,000835516775.68,650,0001,00068,650168,65076.3 42012,285 The dealer can make 285 packages.77.2,03212716 The average hourly wage per employee is$16 per hour.78.2382119 The stack has 119 countertops.79.1532181277coins80.138$7$966 loss81.$69,70812$5,809gain82.$10,1524$2,538 loss83.219$3$657 gain84.343734211385.$32$17$579$729$886.31253653187.$72$38$21$323$1213$36388.63126763188189.51118551837

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6Chapter 1Practice Test, p. 371.five hundred three2.twelve million, fifty-six thousand,thirty-nine3.80,0004.600,0005.5,017,135,6326.17,500,6087.Twenty-two billion, six hundredninety-seven million dollars8.Eighty-seven billion, four hundredseventy-one million, nine hundredthousand dollars9.9008631 0009833002712 2002,1,7,110.1 00098730034670041,611.2112.2313.53253227  14.82182129   15.900892504645 0005 35235 684132,,016.8075 R4650 4 02153 4 0213 7131126546,,17.438726431153 1,153 items were counted.18.31215.5 Only 15 boxes can be stacked.19.298812249 249 packages can be made.20.432320 20 pairs of shoes remain ininventory.21.6804017 She makes $17 per hour.22.28256 565280 280 pieces of fruit are required.23.16348 48 pages are devoted to review.24.481137 37 novels were received.25.$23,522,400,000$4,313,200,000$19,209,200,00026.Lossnegative profit; $34 362 200 000$394 900 000$34 362 200 000$394 900 000,,,$34 757 100 000,,,,,,,,,,  27.$8 915$5 212,,,$6 103$20 230,   28.$15 814$7 928$15 814$7 928$7 8, 8,,,,6   29.186$1104,$26  30.$26 13612$2, 78,1 31.133742619426762650   32.$68$52$71$329$819$729

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Chapter 17zero missingCritical Thinking, p. 391.17125nn2.4559nn3.Answers will vary.1252725125212394.Answers will vary.844448does not485.Answers will vary. You have 15 rockCDs and 18 classical CDs. Find thetotal.6.Answers will vary. You andeach of your seven friends have23 CDs. What is the totalnumber of CDs you eight own?7.Answers will vary. Multiplication444445 4208.Addition and Subtraction9.Division10.5950912 6,10812 6,1086 06 0108101080108108The 5 in the quotient should alignabove the 1 in the dividend.11.53 81252412291217The order of operations requiresmultiplication to be completed beforeaddition or subtraction.12.2512713720Addition and subtraction mustbe completed in the order theyoccur, working fromlefttoright.Challenge Problem p. 391.12050013542016580 units4202.Case Studies1-1, p. 411.Amtrak:$1984$402$872Airplane:$1754$402$780Individual Cars:$244$1254$1,476Limo Liner:$198$204$202$752Two-Car Carpool:$244$1252$7382.$1,140$738$402savings by two-car carpool$1,140$7852$3 8savings by Limo LinerAlthough the savings are greater if they carpool, taking the Limo Liner would allow the managers to work en route forthree hours, either as a group or individually. Additionally, traveling by Limo Liner should also decrease the fatiguefactor for two people having to drive for three to four hours. The Limo Liner seems like an idea worth trying.3.$388 savings for onetrip12 trips$4,656savings in a yearTABLE 1-3Employee NameWeek 1Week 2Week 3Week 4Units SoldBrown, Tyler1512232777Lopez, Cierra2318141267Prete, Aaron181927973Salayon, Steven2115161769Vidrine, Stephen311291567Waddell, Dawn1718122168Young, Travon1519141361The overall monthly sales were 482 units. The monthly quota of 500 units wasnot reached. Tyler Brown and Aaron Prete reached their monthly sales goals.

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8Chapter 11-2, p. 421.245 ft20 ft2 sides1,800 ft21,800 ft10018roofing squaresFor the roof,21,800 ftof roofing is required, which is 18 roofing squares.2.18 squares4 bundles72 bundles18 squares36rolls of roofing felt72 bundles$14 per bundle$1, 008total shingle cost6 rolls$9 per roll$54total roofing felt costFor the roof, 72 bundles of shingles are needed at a cost of $1,008.Also, 6 rolls of felt are needed at a cost of $54.3.18 squares3 squares6 boxes; 6 boxes$5$30 nail cost17 drip edge pieces$3 per$51 total drip edge cost20 ft20 ft45 ft85 ft per side of drip edgeTotal cost$1, 008$54$30$51$1,14385 ft2 sides170 ft; 170 ft10 ft length17 pieces6 boxes of roofing nails are needed at a cost of $30; 17 lengths of drip edge are needed at a cost of $51. The material costsfor the entire roof are $1,143.1-3, p. 421.1507525250 people$100, 000250$4002.$40010$403.First shift: 100 $4010 months$40,000; 25 $100$2,500; 15 $50$750;10 $2010$2,000; $40,000$2,500$750$2,000$45,250 totalSecond shift: 25 $150$3,750; 25 $4010$10,000; 25 $35$875$3,750$10,000$875$14,625 totalThird shift: 25 $8010$20,000 total4.No, she is short$20,125.$45,250$14,625$20,000$79,875; $100,000$79,875$20,1255.$79,875 2$159,750company contribution$79,875$159,750$239,625total contribution

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Chapter 29Chapter 2 Review of FractionsSection Exercises2-1, p. 511.proper2.improper3.improper4.proper5.proper6.improper7.5717 12758.120120 212019.118 181810.3727 1714311.28 161612.3162416 387326764313.1,30013311,0001010==phones per person14.1,5003111,00022==phones per person15.()254× 6 +1 = 25; 416.()1375272137;5×+=17.()73217; 3×+=18.()1953419; 5×+=19.()1381513; 8×+=20.()2036220; 3×+=21.12341535÷=÷22.12432045÷=÷23.20452446÷=÷24.1818136182÷=÷25.2412236123÷=÷26.1313139133÷=÷27.400 million29,000 million45=28.4,000 million124,000 million6=29.1 R151 R62 R32 R021213721 3615 216 153 6GCD33636312211512615630÷===÷30.1 R91 R61 R32 R015153515 249 156 93 6GCD3242438159669630÷===÷31.2 R121 R62 R018186318 4812 186 12GCD64848683612121260÷===÷32.2 R101 R52 R015155315 4010 155 10GCD54040583010101050÷===÷33.23268 168216×=×34.444165 205420×=×35.434128 328432×=×36.353159 279327×=×37.51553 153515×=×38.33395 155315×=×

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10Chapter 22-2, p. 591.19295989+2.7858124111882+==3.2) 69 122) 3 963) 3 933) 1 31111223336×××=The LCD is 36.4.2)124 152) 62 153) 31 155)115111223560×××=The LCD is 60.5.5256307141530399311303010=+= +==6.515824714122429512424=+= +=7.554466137726821111212663=+= +==8.52023231248721484816484171 48=+= +9.520515118729278686247247137 72=+= +10.7755121213334122822312186110111112122==+= +==11.721824332224241466624284189924246==+= +==12.520339361355123622422336471110113636==+= +=13.78384182−=14.89296293−=15.321428520728128=−= −16.24993613662613 6=−= −17.91514 97712129922 9=−= −18.3616212120510107771212121010109810==−= −= −

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Chapter 21119.8321515156052577126078 60=−= −20.132723232282424714141224241322 24==−= −=−21.18 3513 3−22.1612115544775524 5=−= −23.3351111184486651111188881714042yards88++=++==24.35334237122388843536423712238888171114116feet88+++=+++==25.335551010121212448885111288822665551010121212888885444012888489 feet8888+++++++=+++++++==26.444334447755588323232151544477404040404012632629inches4020++++=++++==27.1814542444288872yards; she can use the fabric.8−=−=28.3431121011101feet4444−=−=29.15515105131213121feet1681616161595411412131211feet8888825853141213121feet888813513103131213121feet168161616−=−=−=−==−=−=−=−=30.33621881617174444212136173517222118inches2+===−=−=2-3, p. 651.123438510×=2.5157642×=3.23358051322493636×==4.13248×391=5.1276.537.198.1129.43975;7739=10.32783;8827=11.125354584836÷=×=12.11393105105÷=×23293=

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Solution Manual for Business Math, 11th Edition - Page 16 preview image

12Chapter 213.2112812215757÷=÷=3272112581010×==14.1221821363315214343483232÷=÷=×==15.17177585840××==×Each store will receive740of the original order.16.111414145455××==×Each store will receive 15 of the original order.17.1214333314416feet81822×=×==Yes, if no more than a total of 18 inch is needed forspacing between the desks.18.1254149149141874feet81822×=×==19.11132832844×=×79191 inches long11==28214 inches wide÷=91inches long14×inches wide20.175975751818÷=÷=2538192003 266, or 67 sheets3×==21.33531354414520÷=÷=×=22.335404084044÷=÷=84135×732744; 4 boxes7==23.3392004800200920044139392020rooms39÷=÷=×==24.121721213 212÷=÷=312617×=6 cabinets will exactly fit along the wall.Exercise Set, p. 721.Examples will vary,3 75 10041,,,,;5 9 8 301 53proper fractions2.Examples will vary,4 8 12 1327,,,,;4 54891improper fractions3.proper4.improper5.improper6.improper7.220 38.79.18 210.34204 83830311.715315 5245712.910110 1910913.711 7777

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