(Solution Manual) Contemporary Business Mathematics with Canadian Applications

brunner, Halliday, Hassanlou, 11

Math & Statistics

Solution Manual

11th Edition

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Solution Manual for Contemporary Business Mathematics with Canadian Applications, The downloadable file consists of 672 pages, and the total size of the file is 6.29 MB. Purchase now only for highly discounted price.

Author(s): brunner, Halliday, Hassanlou

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Copyright © 20 18 Pearson Canada Inc. PART ONE Mathematics Fundamentals and Business Applications Chapter 1 Review of Arithmetic Exercise 1.1 A. 1. 12 6 3 12 2 14+  = + = 2. (3 8 6) 2 (24 6) 2 18 2 9 −  = −  =  = 3. (7 4) 5 2 11 5 2 55 2 53+  − =  − = − = 4. 5 3 2 4 15 8 23 +  = + = 5. 6(7 2) 3(5 3) 6(5) 3(2) 30 6 24− − − = − = − = 6. 20 16 4 10.215 5 20 5−= = =+ 7. 2 2 24(8 5) 5(3 2 ) 4(3) 5(3 4) 4(9) 5(7) 36 35 1− − + = − + = − = − = 8. 2 2 2(3 4 2) (2 2 7 ) (12 2) (2 2 49) − + −  = − + −  210 (2 98) 100 96 4= + − = − = 9. 10250(1 0.08) 250(2.158925) 539.73+ = = 10. 4(1 0.04) 1 1.169859 1 0.17+ − = − = 11. 30 600 2500 12 600 18 000 2500 7200 8300 − −  = − − = 12. 1 [(1 0.40)(1 0.25)(1 0.05)] 1 [(0.6)(0.75)(0. 95)] 1 [0.4275] 0.5725 0.57 − − − − = − = − = = Exercise 1.2 A. 1. 24 24:2 12 12:2 6 6:3 2 36 36:2 18 18:2 9 9:3 3= = = = = = also 24:12 2 36:12 3= 2. 28 28:2 14 14:2 7 7:7 1 56 56:2 28 28:2 14 14:7 2= = = = = = also 28:28 1 56:28 2= 3. 210 210:10 21 21:3 7 360 360: 10 36 36:3 12= = = = also 210:30 7 360:30 12= 4. 360 360:5 72 72:9 8 225 225:5 45 45:9 5= = = = also 360:45 8 225:45 5= 2 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 5. 144 144:2 72 72:9 8 8:4 2 360 360:2 180 180:9 20 20:4 5= = = = = = also 144:72 2 360:72 5= 6. 25 25:5 5 365 365:5 73== 7. 365 365:73 5 73 73:73 1== 8. 365 365:73 5 219 219:73 3== B. 1. 111.3758= 2. 71.754= 3. 51.666667 1.63== & 4. 50.833333 0.836== & 5. 111.833333 1.836== & 6. 70.777778 0.79== & 7. 131.083333 1.08312== & 8. 191.266667 1.2615== & C. 1. 33 3.3758= 2. 23 3.45= 3. 18 8.333333 8.33== & 4. 216 16.666667 16.63== & 5. 133 33.333333 33.33== & CHAPTER 1: Review of Arithmetic 3 Copyright © 20 18 Pearson Canada Inc. 6. 183 83.333333 83.33== & 7. 77 7.777778 7.79== & 8. 17 7.083333 7.08312== & D. 1. $5.63 2. $17.45 3. $18.00 4. $253.49 5 $57.70 6. $3.09 7. $13.00 8. $40.00 E. 1. 25 000(15 8) 146 000 25 000(7) 146 000 175 000 146 0 00 29 000 − − = − = − = 2. (300 8000) (180 8000) 63 000 2 400 000 1 440 000 63 0 00 897 000  −  − = − − = 3. 1 [(1 0.4)(1 0.25)(1 0.08)] 1 [(0.6)(0.75)(0.9 2)] 1 [0.414] 0.586 − − − − = − = − = 4. 1 [(1 0.32)(1 0.15)(1 0.12)] 1 [(0.68)(0.85)(0 .88)] 1 [0.50864] 0.49136 − − − − = − = − = 5. 15001500 1500 30 000 31 500 0.05+ = + = 6. 225 365$54 $54 $54$7300.12 0.12 0.616438 0.073973= = = 7. 146 365264 264 2640.154400 4400 0.4 1760= = = 8. 45$620 1 0.14 $620(1 0.017260) $620(1.017260) $6 30.70365+  = + = = 9. 292$375 1 0.16 $375(1 0.128) $375(1.128) $423365+  = + = = 4 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 10. 330 365$250 250 $250 250 $250 250$220 364.901 0.15 1 0.135616 1.135616= = =+  + 11. 146 365$2358 $2358 $2358$22501 0.12 1 0.048 1.048= = =+  + 12. 24(1 0.03) 1 1.032794$1000 1000 1000[34.426470] $34 426.470.03 0.03+− = = =    13. 20(1 0.02) 1 0.485947$70(1 0.02) 70(1.02)0.02 0.02 71.4[24.29737] $1734.83+− +=   == 14. 8[1 (1 0.075) ] 50[1 (0.560702)] 50[0.439297]$50 50[5.857303]0.075 0.075 0.075 $292.87−− + −= = = = Exercise 1.3 A. 1. 6464% 0.64100== 2. 300300% 3100== 3. 2.52.5% 0.025100== 4. 0.10.1% 0.001100== 5. 0.50.5% 0.005100== 6. 8585% 0.85100== 7. 250250% 2.5100== 8. 4.84.8% 0.048100== 9. 7.57.5% 0.075100== 10. 0.90.9% 0.009100== CHAPTER 1: Review of Arithmetic 5 Copyright © 20 18 Pearson Canada Inc. 11. 6.256.25% 0.0625100== 12. 9999% 0.99100== 13. 225225% 2.25100== 14. 0.050.05% 0.0005100== 15. 1 8.258 % 0.08254 100== 16. 1 0.5% 0.0052 100== 17. 1 112.5112 % 1.1252 100== 18. 3 9.3759 % 0.093758 100== 19. 3 0.75% 0.00754 100== 20. 1 162.5162 % 1.6252 100== 21. 2 0.40.0045% 100== 22. 1 0.250.00254% 100== 23. 1 0.025% 0.0002540 100== 24. 1 137.5137 % 1.3752 100== 25. 5 0.625% 0.006258 100== 26. 0.8750.875% 0.00875100== 27. 1 2.252 % 0.02254 100== 6 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 28. 2 16.616 % 0.163 100==&& 29. 2 116.6116 % 1.163 100== 30. 1 183.3183 % 1.833 100==&& 31. 1 83.383 0.833% 100== 32. 2 66.666 % 0.63 100==&& B. 1. 25 125%100 4== 2. 1 62.5 625 562 %2 100 1000 8= = = 3. 175 7175%100 4== 4. 515%100 20== 5. 1 37.5 375 337 %2 100 1000 8= = = 6. 75 375%100 4== 7. 414%100 25== 8. 828%100 25== 9. 40 240%100 5== 10. 1 87.5 875 7872% 100 1000 8= = = CHAPTER 1: Review of Arithmetic 7 Copyright © 20 18 Pearson Canada Inc. 11. 250 5250%100 2== 12. 212%100 50== 13. 1 12.5 125 112 %2 100 1000 8= = = 14. 60 360%100 5== 15. 2.25 225 92.25%100 10 000 400= = = 16. 0.5 5 10.5%100 1000 200= = = 17. 1 1 1%8 8(100) 800== 18. 1 100 100 133 % %3 3 3(100) 3= = = 19. 3 3 3 4% 4(100) 400== 20. 2 200 200 266 % %3 3 3(100) 3= = = 21. 6.25 625 16.25%100 10 000 16= = = 22. 0.25 25 10.25%100 10 000 400= = = 23. 2 50 50 116 % %3 3 3(100) 6= = = 24. 7.5 75 37.5%100 1000 40= = = 25. 0.75 75 30.75%100 10 000 400= = = 8 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 26. 7 7 7%8 8(100) 800== 27. 0.1 10.1%100 1000== 28. 3 3 3%5 5(100) 500== 29. 2.5 25 12.5%100 1000 40= = = 30. 1 400 400 4133 % % (100)3 3 3 3= = = 31. 1 550 550 11183 % %3 3 3(100) 6= = = 32. 2 500 500 5166 % %3 3 3(100) 3= = = C. 1. 3.5 3.5(100) 350%== 2. 0.075 0.075(100) 7.5%== 3. 0.005 0.005(100) 0.5%== 4. 0.375 0.375(100) 37.5%== 5. 0.025 0.025(100) 2.5%== 6. 2 2(100) 200%== 7. 0.125 0.125(100) 12.5%== 8. 0.001 0.001(100) 0.1%== 9. 0.225 0.225(100) 22.5%== 10. 0.008 0.008(100) 0.8%== 11. 1.45 1.45(100) 145%== 12. 0.0225 0.0225(100) 2.25%== 13. 0.0025 0.0025(100) 0.25%== 14. 0.995 0.995(100) 99.5%== CHAPTER 1: Review of Arithmetic 9 Copyright © 20 18 Pearson Canada Inc. 15. 0.09 0.09(100) 9%== 16. 3 3(100) 300%== 17. 30.75(100) 75%4== 18. 30.12(100) 12%25== 19. 51.666667(100) 166.6%3== & 20. 70.035(100) 3.5%200== 21. 90.045(100) 4.5%200== 22. 50.625(100) 62.5%8== 23. 30.0075(100) 0.75%400== 24. 50.833333(100) 83.3%6== & 25. 90.01125(100) 1.125%800== 26. 71.166667(100) 116.6%6== & 27. 30.375(100) 37.5%8== 28. 110.275(100) 27.5%40== 29. 41.333333(100) 133.3%3== & 30. 90.0225(100) 2.25%400== 31. 130.65(100) 65%20== 32. 40.8(100) 80%5== 10 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. Exercise 1.4 A. 1. 3 5 5 13 4 8 6 Total weight 1 2 1 3 1.3 2.75 1.625 3.83 9.5416 o unces Total selling value of 4 pieces $1569 9.54 16 $14 970.88= + + + = + + + = =  =& & & & 2. Total hours 1 3 1 1 315 13 18 21 222 4 2 4 4 15.5 13.75 18.5 21.25 22.75 91.75= + + + + = + + + + = Total cost of labour 91.75 25.75 $2362.56=  = 3. 6Assessed value 56 100 6 5100 $30 60011=  =  = 3.75Property tax 30 600 $1147.50100=  = 4. 1Retail value 0.83 ¢ 2700 $0.83 27003 $2250.00 3Discount 2250.00 $843.758 Credit received 2250.00 843.75 $1406.25=  =  = =  = = − =& 5. 64 $0.75 154 83 ¢ 54 $0.833 72 $0.375 42 $1.33 42 $1.3 Total=  =  = =  =  = =& && $ 48.00 45.00 27.00 56.00 $176.00 6. 96 $0.875 2330 16 ¢ 330 $0.163 144 $1.75 240 $1.66 240 $1.6 Total=  =  = =  =  = =& && $ 84.00 55.00 252.00 400.00 $791.00 CHAPTER 1: Review of Arithmetic 11 Copyright © 20 18 Pearson Canada Inc. B. 1. 1100 0.597 $656.70 1600 0.667 $1067.20 1400 0.765 $1071.00 Totalcost $2794.90= = = = $2794.90Average cost per litre $0.6816834100 $0.68 68¢== = = 2. (a) 56 64 70 54 244 Average number of litres 244 4 61+ + + = =  = (b) Total cost 56 $0.99 $55.44 64 $1.065 $68.16 70 $1.015 $71.05 54 $1.045 $ 56.43 $251.08 Average cost per litre 251.08/244 $1.02901 6 $1.029=  = = = = = = = (c) Average cost per km $1.029016/8.75 $0.1176 02 $0.118 = = = 3. Weighted hours 3 4 5 2 2 6 4 2 4 1 2 6 12 10 12 8 4 12 58 Total hours 3 5 2 4 4 2 20 58Grade-point average 2.920=  +  +  +  +  +  = + + + + + = = + + + + + = == 4. Weighted investment: January1 February 28: $7500 2 $15 000 March1 July31: 6600 5 33 000 August1 August 31: 8100 1 8100 September1 December 31: 7800 4 31 200 $87 300 Average investment balance $87 300 12 $7275−  = −  = −  = −  = =  = 5. (a) Simple average of unit prices 10.00 10.60 11.25 9.50 9.20 12.15 62.70$10.4566+ + + + += = = 12 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. (b) Amount investedNumber of units purchasedUnit price= Date Amount Invested Unit Price Number of Units Purchased February 1 200.00 10.00 200.0020.00010.00= March 1 200.00 10.60 200.0018.86810.60= April 1 200.00 11.25 200.0017.77811.25= May 1 200.00 9.50 200.0021.0539.50= June 1 200.00 9.20 200.0021.7399.20= July 1 200.00 12.15 200.0016.46112.15= Total number of units purchased 115.899 (c) 1200.00Average cost of units purchased $10.35115.899== (d) Value on July 31 115.899(11.90) $1379.20 == Exercise 1.5 A. 1. (a) Annualsalary $31 824 31 824Semi-monthly payment $132624= == (b) 31 824Weekly pay $61252 612Hourly rate $1736== == (c) Regular pay = $13 26 Overtime pay 11 17 1.5 280.50 Gross pay $160 6.50=   = = CHAPTER 1: Review of Arithmetic 13 Copyright © 20 18 Pearson Canada Inc. 2. (a) Annual salary $43 875 43 875Biweekly pay $1687.5026= == (b) 1687.50Weekly pay $843.752 843.75Hourly rate $22.5037.5== == (c) Regular biweekly pay $1687.50 Overtime pay 8 22.50 1.5 270.00 Gross pay $1957.50= =   = = 3. (a) Monthly pay $2011.10 Yearly pay 2011.10 12 $24 133.20 Weekly pay 24 133.20 52 $464.10 Hourly rate of pay 464.10 35 $13.26= =  = =  = =  = (b) Regular pay for May $2011.10 Overtime pay 7.75 13.26 1.5 154.15 Gross pay $2165.25= =   = = 4. (a) Semimonthly pay $975.00 Yearly salary 975.00 24 $23 400.00 Weekly gross pay 23 400 52 $450.00 Hourly rate 450.00 40 $11.25= =  = =  = =  = (b) Gross pay $1118.44 Regular pay 975.00 Overtime pay $143.44 Number of overtime hours (143.44 1.5) 11.25 8.500148 8.5= = = =   = = 5. Total hours = 45 Regular hours = 40 Overtime hours = 5 At time -and-a-half, 5 overtime hours are equivalent to 5 1.5 7.5= regular hours $680.20Rate of pay $14.3247.5== 14 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 6. (a) Biweekly payment $2123.00 Annual salary 2123.00 22 46 706 Daily pay 46 706 200 $233.53 Hourly rate 233.53 7.5 $31.14= =  = =  = =  = (b) Regular pay $2123.00 Less: two days 233.53 2 467.06 Gross pay $1655.94= =  = = 7. Gross sales $12 660.00 Less:returns 131.20 Net sales $12 528.80 Gross commission 12 528.80 0.0975 $1221.56 Less:drawings 720.00 Amount due $501.56= = = =  = = = 8. Net sales $16 244.00 1Commission: 8 % on first $6000.00 $495.004 39 % on next $6000.00 585.004 11.5% on $(16 244.00 12 000.00) 488.06 Total commission $1568.06= = = −= = 9. Gross sales $24 250.00 Less:returns 855.00 Net sales $23 395.00= = = Commission: 4.5% on first $10 000 0.045 10 000.00 $ 450.00 6%on next $5000 0.06 5000.00 300.00 8%on remaining $8395 0.08 8395.00 671.60 Total commission $1421.60=  = =  = =  = = 10. (a) Sales $8125.00 Base salary on quota of $8500 $825.00= = CHAPTER 1: Review of Arithmetic 15 Copyright © 20 18 Pearson Canada Inc. (b) Sales $10 150.00 Base salary on quota of $8500 $825.00 1Commission 6 % on$1650 0.065 $1650 107.252 Grossearnings $932.25= = = =  = = 11. (a) Commission at 6.5% on sales of $5830 = 0.065 × $5830 = $378.95. This is less than $400 guarantee, therefore weekly salary $400= (b) Commission at 6.5% on sales of $8830 0.065 $8830 $573.95=  = This exce eds $400 guarantee, therefore weekly salary = $573.95 12. Gross sales $31 240.00 Less: returns 3% of $31 240.00 937.20 Net sales $30 302.80 1590.90Rate of commission 0.0525 5.25%30 302.80= == = = = = 13. Gross earnings $566.25 Less: base salary 450.00 Commission: $116.25 Sales for week $6550 Quota: 5000 Commission sales $1550 116.25Rate of commission 0.075 7.5%1550= = = = = = = = = 14 $Commission $2036.88Net sales $18 105.60Rate 0.1125= = = Net sales gross sales returns 18105.60 S 0.08S 0.92S 18105.60 S 19 680=− =− = = Gross sales were $19 680 16 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 15. Gross earnings $637.50 Less: Base salary 464.00 Commission $173.50 173.50Commission sales $1982.860.0875 Sales for week $4800 $1982.86 $6782.86= = = == = + = 16. Method A Regular hours 40 12.60 $ 504.00 Overtime pay 3.5 12.60 1.50 66.15 6 12.60 2 151.20 Gross earnings $ 721.35=  = =   =   = = Method B At regular rate: 49.5 12.60 $ 623.7 0 Overtime premium: 3.5 12.60 0.50 22.05 6 12.60 1 75.60 Gross earnings $721.35=   =   = = Exercise 1.6 1. Month GST collected 5% of sales GST paid 5% of purchases GST payable (GST receivable ) January $27 345.00 $7391.60 $19 953.40 February 12 200.00 3475.00 8725.00 March 29 400.00 43 300.00 (13 900.00) April 32 515.00 22 500.00 10 015.00 May 7840.00 4904.90 2935.10 5-month totals $109 300.00 $81 571.50 $27 728.50 Cook s owes the government $27 728.50. ’ 2. Riza’s revenue of $28 350 includes 5% GST. 28 350GST taxable revenue $27 0001.05== GSTcollected 5% of $27 000 $1350 == GST paid 5% of $8000 $400== Riza owes the Canada Revenue Agency $(13 50 400) $950.00−= CHAPTER 1: Review of Arithmetic 17 Copyright © 20 18 Pearson Canada Inc. 3. Savings on GST 5% of $780 0.05(780) $39.00 = = = 4. Cost of shirt $15.00 GST in Regina 5% of $15.00 0.05(15.00) 0.75 PST 5% of $15.00 0.05(15.00) 0.75 Consumer pays $16.50= = = = = = = = 5. At Blackcomb, B.C. Cost of ski pass $84.00 GST 5% of $84.00 0.05(84.00) 4.20 PST 7% of $84.00 0.07(84.00) 5.88 Amount paid at Blackcomb, B.C. $94.08= = = = = = = = At Mont Tremblant, Que. Cost of ski pass $84.00 GST 5% of $84.00 0.05(84.00) 4.20 PST 9.975% of $84.00 0.09975(84.00) 8.38 Amount paid at Mont Tremblant $96.58 Difference 96.58 94.08 $2.50= = = = = = = = = − = 6. Total cost in Toronto Retail price $625.00 HST 13% of $625.00 0.13(625) 81.25 Total cost in Toronto $706.25= = = = = Total cost in Calgary Retail price $625.00 GST 5% of $625.00 0.05(625.00) 31.25 PST nil Total cost in Calgary $656.25 Difference PST $ 50.00= = = = = = = 7. Purchase price of the first item = $78.92  0.25 = $19.73 Purchase price of the second item, including 5% GST = 78.92 – 19.73 = $59.19 Purchase price of the second item = $59.19/1.05 = $56.371429 GST paid = $59.19 – 56.371429 = 2.818571 = $2.82 8. 22.751Property tax 125 000 $2843.881000== 18 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 9. Property tax 225 000(0.019368) $4357.80 == 10. 1420.79Semi-annual tax rate 0.007249196 000.00 Semi-annual tax rate 0.007249(1000) 7.2489 29 The annual tax rate 2(7.248929) 14.497857== == == 11. (a) Total expenditure $(3 050 000 2 000 000 250 000 7 00 000 850 000) $6 850 000 Total residential property tax 0.80(6 850 0 00) $5 480 000= + + + + = == (b) 5 480 000Tax rate per $1000 (1000) 21.92250 000 000== (c) 21.92Property tax $175 000 $3836.001000==  Business Math News Box Newfoundlanders w ill Notice the HST Increase on Big Ticket Items Solutions: 1. Current price (including 15% HST): $450 000 Price prior to January 1, 2016 (including 13% HST): $450 000 / (1.15)  (1.13) = $442 173.91 2. HST payable – (0.15)($180 000 000) = $27 000 000 3. Resale home: Tax exempt = no tax New home: HST payable = (0.15)($325 000) = $48 750 Review Exercise 1. (a) 32 24 8 32 3 29−  = − = (b) (48 18) 15 10 30 15 10 2 10 8−  − =  − = − = − (c) (8 6 4) (16 4 3) (48 4) (16 12) 44 4 11 −  −  = −  − =  = (d) 9(6 2) 4(3 4) 9(4) 4(7) 36 28 8− − + = − = − = (e) 216 365108 108 108$1520.830.12 0.12 0.591781 0.071014= = = CHAPTER 1: Review of Arithmetic 19 Copyright © 20 18 Pearson Canada Inc. (f) 292 365288 288 2880.152400 2400 0.8 1920= = = (g) 225320 1 0.10 320(1 0.061644) 320(1.061644) 339.7 3365+  = + = = (h) 1501000 1 0.12 1000(1 0.049315) 1000(0.950685) 95 0.68365−  = − = = (i) 144 365660 660 660625.451 0.14 1 0.055233 1.055233= = =+  + (j) 292 3651120 1120 112012501 0.13 1 0.104 0.896= = =−  − 2. (a) 185% 1.85= (b) 7.5% 0.075= (c) 0.4% 0.004= (d) 0.025% 0.00025= (e) 11 % 1.25% 0.01254== (f ) 3% 0.75% 0.00754== (g) 1162 % 162.5% 1.6252== (h) 311 % 11.75% 0.11754== (i) 1 8.38 % 0.0833 100==&& (j) 1 83.383 % 0.833 100==&& (k) 2 266.6266 % 2.63 100==&& (l) 310 % 10.375% 0.103758== 20 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 3. (a) 50 150%100 2== (b) 1 37.5 375 337 %2 100 1000 8= = = (c) 50 2 33 100 116 2116 %3 100 6= = = (d) 2 3 100 66 2 2 5166 % 13 100 3 3+= = + = (e) 1 2 1 1 1 1%2 100 2 100 200= =  = (f ) 7.5 75 37.5%100 1000 40= = = (g) 330.75% %4 400== (h) 5 5 1%8 800 160== 4. (a) 2.25 2.25 100 225%=  = (b) 0.02 0.02 100 2%=  = (c) 0.009 0.009 100 0.9%=  = (d) 0.1275 0.1275 100 12.75%=  = (e) 55100 125%44=  = (f ) 111.375 1.375 100 137.5%8= =  = (g) 50.025 0.025 100 2.5%200= =  = (h) 7 2828%25 100== CHAPTER 1: Review of Arithmetic 21 Copyright © 20 18 Pearson Canada Inc. 5. (a) 150% of 140 1.5 140 210=  = (b) 3% of 240 0.03 240 7.2=  = (c) 39 % of 20004 0.0975 2000 195=  = (d) 0.9% of 400 0.009 400 3.6=  = 6. (a) 1 3 1 54 3 5 63 4 2 8 4.3 3.75 5.5 6.625 20.2083kg+ + + = + + + =&& (b) 20.2083 1.20 $24.25=& (c) 20.2083 4 5.052083 5.05kg = =&& (d) 24.25 4 6.0625 $6.06 = = 7. 56 $0.625 $ 35.00 1180 83 ¢ 180 $0.83 $150.003 126 $1.16 $147.00 144 $1.75 $252.00 Total $584.00=  =  = = = =& & 8. (a) 30.45 20.20 16.40 14.50 81.5520.3875 $20.3944+ + += = = (b) 30.45 2 $ 60.90 20.20 6 $121.20 16.40 9 $147.60 14.50 13 $188.50 30 $518.20= = = = = $518.20Average rate $17.2730== 22 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 9. January 1 May 31: 15 000 5 $ 75 000 June 1 July 31: 13 000 2 26 000 August 1 October 31: 11 500 3 34 500 November 1 December 31: 15 500 2 31 000 Total 12 $166 500 $166 500Average monthly investment $13 875 12−  = −  = −  = −  = = == 10. January 1 March 31: 12 000 3 $ 36 00 0 April 1 May 31: 14 400 2 28 800 June 1 September 30: 12 960 4 51 840 October 1 December 31: 15 840 3 47 520 Total 12 $164 160 Average monthly investment−  = −  = −  = −  = = =$164 160$13 680 12= 11. (a) 34 944Monthly remuneration $2912.00 12== (b) Weekly pay 34 944 52 $672.00 Hourly rate 672.00 35 $19.20=  = =  = (c) Gross pay for month 3387.20 Regular gross pay 2912.00 Overtime pay 475.20 Overtime hours 475.20 (19.20 1.5) 16.5= = = =   = 12. (a) Semimonthly pay 23999.04 24 $999.96 =  = (b) Weekly pay 23 999.04 52 $461.52 Hourly rate 461.52 36 $12.82=  = =  = (c) Regular earnings $999.96 Overtime pay 12 12.82 1.5 230.76 Gross earnings $1230.72= =   = = CHAPTER 1: Review of Arithmetic 23 Copyright © 20 18 Pearson Canada Inc. 13. (a) Grosssales 11160 Less: returns 120 Net sales 11 040= = = Commission: 4% of $6000.00 $240 8% of $3000.00 240 12.5% of $[11 040 9000] 255 Gross earnings $735= = −= = (b) Average hourly rate 735 43 $17.09 =  = 14. (a) Regular earnings 44 11.20 $492.80 Overtime pay 6.5 11.20 1.5 109.20 Gross earnings $602.00=  = =   = = (b) Overtime premium 6.5 11.20 0.5 $36.40 =   = 15. (a) Base salary on quota of $8000 $340.00 Commission 4.75% on $3340 158.65 Gross earnings $498.65= == = (b) Hourly rate 498.65 35 $14.25 =  = 16. Gross earnings $441.30 Base salary 375.00 Commission $66.30 Commission sales 6560.00 5000 $1560.00 Rate of commission 66.30 1560.00 0.0425 4.25 %= = = = − = =  = = 17. Net sales 2101.05 0.105 $20 010.00 Net sales Gross sales Returns 20 010.00 Gross sales 8% of Gross sales 20 010.00 92% of Gross sales 20 010Gross sales $21 7500.92=  = =− =− = == 24 ISM for Hummelbrunner/Halliday /Coombs, Contemporary Business Mathematics , Eleventh Canadian Edition Copyright © 20 18 Pearson Canada Inc. 18. Hours worked 47 Regular hours 40 Overtime hours 7 7 overtime hours are equivalent to 7 1.5 1 0.5 regular hours. Total hours paid at regular rate 40 10.5 50 .5 577.72Hourly rate of pay $11.4450.5= = = = = + = == 19. (a) Annual salary 1088.75 24 $26 130 Weekly pay 26 130 52 $502.50 Hourly rate of pay 502.50 37.5 $13.40=  = =  = =  = (b) Gross earnings $1252.55 Regular earnings 1088.75 Overtime pay $163.80 Overtime hourly rate 13.40 1.50 $20.10 Overtime hours 163.80 20.10 8.15= = = =  = =  = 20. Gross earnings $328.54 Less: base salary 280.00 Commission $ 48.54 Commission sales 48.54 0.06 $809.00 Net sales 5000.00 809.00 $5809.00 Gross sales 5809.00 136.00 $5945.00= = = =  = = + = = + = 21. Gross earnings $662.30 Regular earnings 35 10.80 378.00 Overtime pay $284.30 Overtime hours 284.30 (10.80 1.5) 17.549383 Number of hours worked 35 17.549383 52.55= =  = = =   = = + = 22. GST collected 5% of $76 000 0.05(76 000) $3800 .00 GST paid 5% of $14 960 0.05(14 960) 748.00 GST remittance $3052.00= = = = = = CHAPTER 1: Review of Arithmetic 25 Copyright © 20 18 Pearson Canada Inc. 23. GST collected: Parts : 5% of $ 75 000 Labour : 5% of $ 65 650 Total : 5% of $ 140 650 = 0.05(140 650) $7032.5 0 GST paid : Parking fees : 5% of $ 4 000 Supplies : 5% of $55 000 Utilities : 5% of $ 2 000 Other : 5% of $ 3 300 Total : 5% of $64 300 = 0.0= 5(64 300) = $3215.00 GST remittance $3817.50 24. Amount paid in Kelowna, B.C. Retail Price 5% GST 7% PST = 1868 0.05(1868) 0.07(1868) = 1868 93.40 130.76 2092.16= + + ++ + + = Amount paid in Kenora, Ont. Retail Price 13% HST 1868 0.13(1868) 1868 242.84 2110.84=+ =+ = + = The difference = 2110.84 2092.16 = $18.68 − 25. Property tax in Ripley 20.051150 000 $3007.651000== Property tax in Amberly 22.124135 000 $2986.741000== The person in Ripley pays $20.91 more in property tax. 26. (a) 45 567 000Tax rate = (1000) 46.71143975 500 000= (b) 46.71143Property tax = 35 000 $1634.901000=  (c) 2 000 000Increase in tax rate = (1000) 2.050231975 500 000= (d) 2.050231Additional property tax = 35 000 $71.761000= 