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Contemporary Business Mathematics with Canadian Applications 10th edition S. A. Hummelbrunner, Kelly Halliday, K. Suzanne Coombs - Solutions

Sandra, working in sales at a clothing store, is paid a weekly salary of $400 or a commission of 6.5% of her sales, whichever is greater. What is her salary for a week in which her sales were? (a) $5830 (b) $8830
Manny’s commission was $1590.90 on gross sales of $31 240.00. If returns and allowances were 3% of gross sales, what is his rate of commission based on net sales?
For last week, Tony’s gross earnings were $566.25. He earns a base salary of $450 on a weekly quota of $5000. If his sales for the week were $6550, what is his com- mission rate?
Wilson’s commission for March was $2036.88. If his rate of commission is 11.25% of net sales, and returns and allowances were 8% of gross sales, what were Wilson’s gross sales for the month?
Debra had gross earnings of $637.50 for the week. If she receives a base salary of $464 on a quota of $4800 and a commission of 8.75% on sales exceeding the quota, what were Debra’s sales for the week?
Kim earns $12.60 per hour. Overtime for the first five days in a week worked is paid at time-and-a-half pay for hours worked greater than 8 in a day. If more than five days are worked in a week, those hours are paid at double the regular rate of pay. Last week, for each day, Kim worked 8 hours, 9
C. Bernal receives a yearly salary of $43 875.00. She is paid bi-weekly and her regular workweek is 37.5 hours.(a) What is the gross pay per pay period?(b) What is the hourly rate of pay?(c) What is the gross pay for a pay period in which she works 8 hours overtime at time-and-a-half regular pay?
Carole is paid a monthly salary of $2011.10. Her regular workweek is 35 hours. (a) What is Carole’s hourly rate of pay?(b) What is Carole’s gross pay for May if she worked 7 3⁄4 hours overtime during the month at time-and-a-half regular pay?
Dimitri receives a semi-monthly salary of $975.00 and works a regular workweek of 40 hours.(a) What is Dimitri’s hourly rate of pay?(b) If Dimitri’s gross earnings in one pay period were $1118.44, for how many hours of overtime was he paid at time-and-a-half regular pay?
Mario’s wage statement showed 45 hours of work, resulting in $680.20 in gross earnings. What is the hourly rate of pay if the regular workweek is 40 hours and overtime is paid at time-and-a-half the regular rate of pay?
An employee of a Board of Education is paid an annual salary in 22 biweekly payments of $2123.00 each. If the employee is under contract for 200 workdays of 7 1⁄2 hours each,(a) What is the hourly rate of pay?(b) What is the gross pay for a pay period in which the employee was away for two days
Geraldine Moog is paid a commission of 9 3⁄4% on her net sales and is authorized to draw up to $800 a month. What is the amount due to Geraldine at the end of a month in which she drew $720, had gross sales of $12 660, and sales returns of $131.20?
What is a salesperson’s commission on net sales of $16 244 if the commission is paid on a sliding scale of 8 1⁄4% on the first $6000, 9 3⁄4% on the next $6000, and 11.5% on any additional net sales?
A sales representative selling auto parts receives a commission of 4.5% on net sales up to $10 000, 6% on the next $5000, and 8% on any further sales. If his gross sales for a month were $24 250 and sales returns were $855, what was his commission for the month?
Cook€™s Department Store files GST returns monthly. If the figures in the following table represent the store€™s GST taxable sales and GST is paid on its purchases for the last five months, calculate Cook€™s monthly GST bills. Determine if Cook€™s owes the government money or is
Riza’s Home Income Tax business operates only during tax season. Last season Riza grossed $28 350 including GST, during that season she spent $8000 before GST on her paper and supply purchases. How much does Riza owe the Canada Revenue Agency for GST?
How much would a consumer pay for a T-shirt with a list price of $15 if the purchase was made in Regina, Saskatchewan?
During an early season promotion, a weekend ski pass was priced at $84 plus PST and GST at Blackcomb Mountain, B.C., and at $84 plus GST and PST at Mont Tremblant, Quebec. What is the difference in the total price paid by skiers at the two ski resorts?
A retail chain sells snowboards for $625 plus tax. What is the price difference for consumers in Toronto, Ontario, and Calgary, Alberta?
The City of Mississauga sent a semi-annual tax bill to a resident who owns a house assessed at $196 000. If the semi-annual tax bill is $1420.79, what is the annual property tax rate in Mississauga?
A town has an assessed residential property value of $250000 000. The town council must meet the following expenditures: Education ………………………….. $3 050 000 General purposes ……….………….. $2 000 000 Recreation ………………..………….. $250 000 Public works
a. Karen has been offered two similar positions at competing financial firms. One position pays an annual salary of $61 200. The other job guarantees a salary of $2000 per month plus a commission of 2% on all sales. The average monthly sales figure per employee is $120 000. i. If Karen’s monthly
Beginning on July 1, 2010, how much additional tax does the new homebuyer face from the provincial portion of the HST, after the rebate is applied?
Without the B.C. government’s relief measures, how much more tax would a homebuyer have paid for a $600 000 new home purchased in December 2012?
Simon operates an HST-registered mobile glass repair service in Ontario. His service revenue for the year is $28 000. His HST-taxable purchases amounted to $4000. Simon does not use the Quick Method for claiming ITCs. By calculating the difference between the HST he collected and the HST he paid,
Courtney operates a souvenir gift shop in Ontario. Her business is registered for the Quick Method of calculating ITCs. Her HST-taxable sales were $185 000 for the year. HST-taxable purchases of goods for resale were 47% of sales. In addition, Courtney paid $48 000 in purchases and expenses, which
Steve has been operating Castle Creek Restaurant in Ontario for the past several years. On the basis of the information that Steve’s accountant filed with the CRA during the prior year, Castle Creek Restaurant must make monthly HST payments of $3120 this year. Steve must complete the Goods and
Simplify each of the following. a. 32 - 24 ÷ 8 b. (48 - 18) ÷ 15 – 10 c. (8 × 6 - 4) ÷ (16 - 4 × 3) d. 9 (6 - 2) -4 (3 × 4) e. 108 / (0.12 × (216 / 365)) f. 288 / (2400 × (292 / 365)) g. 320 (1 + 0.10 × (225 / 365) h. 1000 (1 - 0.12 × (150 / 365) i. 600 (1+ 0.14 × (144 / 365)) j.
Last week June worked 44 hours. She is paid $10.20 per hour for a regular workweek of 37.5 hours and overtime at time-and-a-half regular pay.(a) What were June’s gross wages for last week?(b) What is the amount of the overtime premium?
Margit is paid on a weekly commission basis. She is paid a base salary of $340 on a weekly quota of $8000 and a commission of 4.75% on any sales in excess of the quota.(a) If Margit’s sales for last week were $11 340, what were her gross earnings?(b) What were Margit’s average hourly earnings
Last week Lisa had gross earnings of $441.30. Lisa receives a base salary of $375 and a commission on sales exceeding her quota of $5000. What is her rate of commission if her sales were $6560?
Costa earned a gross commission of $2101.05 during July. What were his sales if his rate of commission is 10.5% of net sales and sales returns and allowances for the month were 8% of his gross sales?
Edith worked 47 hours during a week for which her gross remuneration was $577.72. Based on a regular workweek of 40 hours and overtime payment at time-and-a-half regular pay, what is Edith’s hourly rate of pay?
Hong is paid a semi-monthly salary of $1088.75. Regular hours are 37 1⁄2 per week and overtime is paid at time-and-a-half regular pay.(a) What is Hong’s hourly rate of pay?(b) How many hours overtime did Hong work in a pay
Silvio’s gross earnings for last week were $328.54. His remuneration consists of a base salary of $280 plus a commission of 6% on net sales exceeding his weekly quota of $5000. What were Silvio’s gross sales for the week if sales returns and allowances were $136?
Aviva’s pay stub shows gross earnings of $662.30 for a week. Her regular rate of pay is $10.80 per hour for a 35-hour week and overtime is paid at time-and-a-half regular pay. How many hours did she work?
Ramona’s Dry Cleaning shows sales revenue of $76 000 for the year. Ramona’s GST-taxable expenses were $14 960. How much should she remit to the government at the end of the year?
When Fred of Fred’s Auto Repair tallied up his accounts at the end of the year, he found he had paid GST on parking fees of $4000, supplies of $55 000, utilities of $2000, and miscellaneous eligible costs of $3300. During this same time, he found he had charged his customers GST on billings that
Sales of a particular make and size of nails during a day were 4 1⁄3 kg, 3 3⁄4 kg, 5 1⁄2 kg, and 6 5⁄8 kg. (a) How many kilograms of nails were sold? (b) What is the total sales value at $1.20 per kilogram? (c) What was the average weight per sale? (d) What was the average sales value per
A store located in Kelowna, B.C., sells a computer for $1868 plus GST and PST. If the same model is sold at the same price in a store in Kenora, Ontario, what is the difference in the prices paid by consumers in the two stores?
Two people living in different communities build houses of the same design on lots of equal size. If the person in Ripley has his house and lot assessed at $150 000 with a rate per $1000 of 20.051, will his taxes be more or less than the person in Amberly with an assessment of $135 000 and a rate
A town has a total residential property assessment of $975 500 000. It is originally estimated that $45 567 000 must be raised through residential taxation to meet expenditures. (a) What tax rate must be set to raise $45 567 000 in property taxes? (b) What is the property tax on a property assessed
Extend and total the following invoice.
The basic pay categories, hourly rates of pay, and the number of employees in each category for the machining department of a company are shown below.(a) What is the average rate of pay for all categories? (b) What is the average rate of pay per employee?
Hélène Gauthier invested $15 000 on January 1 in a partnership. She withdrew $2000 on June 1, withdrew a further $1500 on August 1, and reinvested $4000 on November 1. What was her average monthly investment balance for the year?
Brent De Costa invested $12 000 in a business on January 1 and an additional $2400 on April 1. He withdrew $1440 on June 1 and invested $2880 on October 1. What was Brent’s average monthly investment balance for the year?
Casey receives an annual salary of $34 944.00, is paid monthly, and works 35 regular hours per week. Overtime is paid at time-and-a-half regular pay.(a) What is Casey’s gross remuneration per pay period?(b) What is his hourly rate of pay?(c) How many hours overtime did Casey work during a month
Tim is employed at an annual salary of $23 999.04. His regular workweek is 36 hours and he is paid semi-monthly.(a) What is Tim’s gross pay per period?(b) What is his hourly rate of pay?(c) What is his gross pay for a period in which he worked 12 hours overtime at time-and-a-half regular pay?
Artemis is paid a weekly commission of 4% on net sales of $6000, 8% on the next $3000, and 12.5% on all further sales. Her gross sales for a week were $11 160, and sales returns and allowances were $120.(a) What were her gross earnings for the week?(b) What was her average hourly rate of pay for
Solve each of the following equations.a.15x = 45 b. -7x = 35c. 0.9x = 72d. 0.02x = 13e. 1/6 x = 3
Solve each of the following equations and check your solutiona. 3x + 5 = 7x - 11 b. 5 - 4x = -4 - xc. 2 - 3x - 9 = 2x - 7 + 3xd. 4x - 8 - 9x = 10 + 2x - 4e. 3x + 14 = 4x + 9
Solve each of the following equations and check your solutions.a. 12x - 4 (9x - 20) = 320 b. 5(x - 4) - 3(2 - 3x) = -54c. 3(2x - 5) - 2(2x - 3) = -15d. 17 - 3 (2x - 7) = 7x - 3 (2x - 1)e. 4x + 2 (2x - 3) = 18
Solve each of the following equations.a. x – 1/4 x = 15b. x + 5/8 x = 26c. 2/3 x −1/4 = -7/4 −5/6 xd. 5/3 −2/5x = 1/6 x – 1.30e. 3/4 x + 4 = 113/24 – 2/3 x
Solve each of the following equationa. 3/4 (2x − 1) – 1/3 (5 − 2x) = -55/12b. 4/5 (4−3x) + 53/40 = 3/10 x – 7/8 (2x−3)c. 2/3 (2x − 1) – 3/4 (3 − 2x) = 2x – 20/9d. 4/3 (3x − 2) – 3/5 (4x − 3) = 11/60 + 3x
Solve each of the following equations for the indicated variable.a. y = mx + b for x b. r = M/S for S c. PV = PMT/i for PMTd. I = Prt for te. S = P(1 + rt) for r
Sears Canada sold a sweater for $49.49. The selling price included a markup of three-fourths of the cost to the department store. What was the cost? For this problem, set up an equation in one unknown and solve.
Ken and Martina agreed to form a partnership. The partnership agreement requires that Martina invest $2500 more than two-thirds of what Ken is to invest. If the partnership’s capital is to be $55 000, how much should Martina invest? For this problem, set up an equation in one unknown and solve.
A furniture company has been producing 2320 chairs a day working two shifts. The second shift has produced 60 chairs fewer than four-thirds of the number of chairs produced by the first shift. Determine the number of chairs produced by the second shift. For this problem, set up an equation in one
An inventory of two types of floodlights showed a total of 60 lights valued at $2580. If Type A cost $40 each while Type B cost $50 each, how many Type B floodlights were in inventory? For this problem, set up an equation in one unknown and solve.
A machine requires four hours to make a unit of Product A and 3 hours to make a unit of Product B. Last month the machine operated for 200 hours, producing a total of 60 units. How many units of Product A were produced? For this problem, set up an equation in one unknown and solve.
Alick has saved $8.80 in nickels, dimes, and quarters. If he has four nickels fewer than three times the number of dimes, and one quarter more than three-fourths the number of dimes, how many coins of each type does Alick have?For this problem, set up an equation in one unknown and solve.
The local amateur football club spent $1475 on tickets to a professional football game. If the club bought 10 more 8-dollar tickets than three times the number of 12-dollar tickets; and three fewer 15-dollar tickets than four-fifths the number of 12-dollar tickets, how many of each type of ticket
Giuseppi’s Pizza had orders for $539 of pizzas. The prices for each size of pizza were as follows: large $18, medium $15, and small $11. If the number of large pizzas was one less than three times the number of medium pizzas, and the number of small pizzas was one more than twice the number of
S&A Electronics sold a stereo set during a sale for $576. Determine the regular selling price of the set if the price of the set had been reduced by one-third of the original regular selling price. For this problem, set up an equation in one unknown and solve.
A client at a hair salon paid a total of $36.75 for a haircut. The amount included 5% GST. What was the price of the haircut before the GST was added? For this problem, set up an equation in one unknown and solve.
Some CDs were put on sale at 40% off. What was the regular price if the sale price was $11.34? For this problem, set up an equation in one unknown and solve.
This month’s commodity index decreased by one-twelfth of last month’s index to 176. What was last month’s index? For this problem, set up an equation in one unknown and solve.
After an increase of one-eighth of his current hourly wage, Jean-Luc receives a new hourly wage of $12.78. How much was his hourly wage before the increase? For this problem, set up an equation in one unknown and solve.
Tai’s sales last week were $140 less than three times Vera’s sales. What were Tai’s sales if together their sales amounted to $940? For this problem, set up an equation in one unknown and solve.
A metal pipe 90 centimeters long is cut into two pieces so that the longer piece is 15 centimeters longer than twice the length of the shorter piece. What is the length of the longer piece? For this problem, set up an equation in one unknown and solve.
Jay purchased tickets for a concert over the Internet. To place the order, a handling charge of $5 per ticket was charged. GST of 5% was also charged on the ticket price and the handling charges. If the total charge for two tickets was $197.40, what was the cost per ticket? For this problem, set up
a. To help pay for her MBA, Karen borrowed $5000 from her parents during her last year of school. The agreement was that Karen would repay the balance plus 3% interest on this personal loan once she started working.i. Compute the amount of annual interest for this loan.ii. If Karen pays back the
Simplify.(a) 3x - 4y - 3y - 5x(b) 2x - 0.03x (c) (5a - 4) - (3 - a)(d) - (2x - 3y) - (-4x + y) + (y - x)(e) (5a2 - 2b - c) - (3c + 2b - 4a2)(f) - (2x - 3) - (x2 - 5x + 2)
Simplify(a) 3(-5a)(b) -7m (-4x)(c) 14m ÷ (-2m)(d) (-15a2b) ÷ (5a)(e) -6 (-3x) (2y)(f) 4 (-3a) (b) (-2c)(g) -4 (3x - 5y - 1)(h) x (1 - 2x - x2)(i) (24x - 16) ÷ (-4)(j) (21a2 - 12a) ÷ 3a(k) 4(2a - 5) - 3(3 - 6a)(l) 2a(x - a) –a (3x ÷ 2) -3a (-5x - 4)(m) (m - 1) (2m - 5)(n) (3a-2) (a2 -2a-3)(o)
Evaluate each of the following for the values given.(a). 3xy - 4x - 5y for x = -2, y = 5(b). -5(2a - 3b) -2(a+5b) for a = -1/4, b = 2/3(c). 2NC/(P(N+1) for N = 12 , C = 432, P = 1800, n = 35(d). 3651/rP for I = 600, r = 0.15, P = 7300(e). A(1-dt) for A = $720, d= 0.135, t = 280/365(f). S/(1+rt) for
Simplify(a). (-3)5(b). (2/3)4(c). (-5)0(d). (-3)-1(e). (2/5)-4(f). (1.01)0(g). (-3)5 (-3)4(h). 47 ÷ 42(i). [(-3)2]5 (j). (m3)4(k). (2/3)3 (2/3)7 (2/3)-6 (l). (-5/4)5 ÷ (-5/4)3 (m). (1.0350) (1.03100) (n). (1 + i) 180 ÷ (1 + i) 100 (o). [(1.05)30]5 (p). (-2xy)4(q). (a2b/3)-4 (r). (1 + i)-n
Use an electronic calculator to compute each of the following.(a) ˆš (0.9216)(b) 6ˆš(1.075)(c) 14.9744581/40(d) 1.08ˆ’5/12(e) ln 3(f) ln 0.05(g) 1n (5500/1.1016)(h)
Solve each of the following equations.(a) 9x = −63(b) 0.05x = 44(c) - 1/7 x = 3(d) 5/6 x = -15(e) x – 8 = -5(f) x +9 = - 2(g) x + 0.02x = 255(h) x – 0.1x = 36(i) 4x – 3 = 9x + 2(j) 9x – 6 – 3x = 15 + 4x – 7(k) x – 1/3 x = 26(l) x + 3/8 x = 77
Solve each of the following equations and check your answers.(a) −9(3x −8) −8(9 − 7x) = 5 + 4(9x +11)(b) 21x − 4 – 7 (5x − 6) = 8x − 4(5x − 7)(c) 5/7x + ½ = 5/14 + 2/3 x(d) 4x/3 + 2 = 9/8 – x/6(e) 7/6 (6x -7) – 3/8 (7x + 15) = 25(f) 5/9 (7 – 6x) – ¾ (3 – 15x) = 1/12
Solve each of the following equations for the indicated variable, (a). I = prt for r (b). S = P(1 +rt) for t (c). D = rl for r (d). FV = PMT [ (1+p)n -1/P] for PMT
For each of the following problems, set up an equation and solve.(a) A company laid off one-sixth of its workforce because of falling sales. If the number of employees after the layoff is 690, how many employees were laid off?(b) The current average property value is two-sevenths more than last
Addition and subtraction, Simplify.a. 9a + 3a + 7ab. 6m - 2m - mc. -4a – 8 + 3a - 2d. 2a – 15 - 5a + 1 e. 2x - 3y - 4x - y
Multiplication and division, Simplify a. 3(-4x) b. -7(8a) c. -5x (2a) d. -9a (-3b) e. –x (2x)
Substitution and evaluation, Evaluate each of the following for the values given.a. 3x - 2y - 3For x,-4, y = -5b. 1/2(3x2 – x − 1) −1/4 (5 − 2x − x2) For x = -3c. (pq - vq) – f For p = 12, q = 2000, v = 7, f = 4500d. F/C For F = 13 000, C = 0.65e. (1-d1) (1-d2) (1-d3)For d1 = 0.35, d2
Simplify.(a) 4 − 3x − 6 −5x (b) (5x − 4) − (7x + 5) (c) − 2(3a − 4) −5 (2a + 3)(d) -6 (x - 2) (x + 1)
Evaluate each of the following for the values given.(a) 2x2- 5xy - 4y2 For x = -3, y = 5(b) 3(7a - 4b) -4 (5a + 3b) For a = 2/3, b = -3/4(c) 2NC/(P(n + 1)) For N = 12, C = 400, P = 2000, n = 24(d) 1/Pr For I = 324, P = 5400, r = 0.15(e) S(1 – dt) For S = 1606, d = 0.125, t = 240/365(f) S/(1+rt)
Simplify, (a) (-2)3 (b) (-2/3)2 (c) (4)0 (d) (3)2 (3)5 (e) (4/3)-2 (f) (-x3)5
Compute each of the following(a) 10ˆš1.35(b) 1-1.03-49/0.03(c) ln 1.025(d) 1n (3.00e-0.2)(e) 1n (600/1.0611)(f)
Solve each of the following equations.(a) 1/81 = (1/3)n-2(b) 5/2 = 40 (1/2)n-1
Solve each of the following equations.(a) - 2/3 x = 24(b) x – 0.06x = 8.46(c) 0.2x – 4 = 6 – 0.3x(d) 4(8x – 2) – 5 (3x + 5) = 18(f) x + 3/10 x + ½ + x 3/5 x + 1 = 103(g) x + 4/5x - 3+5/6 (x + 4/5 x – 3) = 77(h) 2/3(3x – 1) – ¾ (5x – 3) = 9/8 x – 5/6 (7x – 9)
Solve each of the following equations for the indicated variable.(a) I = Prt for P(b) S = P/1 – dt for d
For each of the following problems, set up an equation and solve.(a) After reducing the regular selling price by one-fifth, Star Electronics sold a TV set for $192. What was the regular selling price?(b) The weaving department of a factory occupies 400 square meters more than two times the floor
In checking the petty cash; a clerk counts “q” quarters, “d” dimes, “n” nickels, and “p” pennies, later he discovers that x of the nickels were counted as quarters and x of the dimes were counted as pennies. (Assume that x represents the same number of nickels and dimes.) What must
Tom and Jerri are planning a 4000-kilometre trip in an automobile with five tires, of which four will be in use at any time. They plan to interchange the tires so that each tire will be used for the same number of kilometers. For how many kilometers will each tire be used?
A cheque is written for x dollars and y cents. Both x and y are two-digit numbers. In error, the cheque is cashed for y dollars and x cents, with the incorrect amount exceeding the correct amount by $17.82. Which of the following statements is correct? (a) x cannot exceed 70. (b) y can equal
If Tasha begins her contributions at age 45, how much interest will be earned on the contributions if (a) Her contributions are $100 per month? (b) Her contributions are $250 per month?
Assume Tasha’s salary is $48 000 per year. Calculate the percentage of her monthly salary that would go toward her retirement plan goal of $73 566 (a) If she began investing $150 monthly at age 35? (b) If she began investing $250 monthly at age 45?
Evaluate each of the following. a. 34 b. 15 c. (-2)4 d. (11)12 e. (2/3)4
Simplify. a. 25 × 23 b. (-4)3 × (-4) c. 47 × 44 d. (-3)9 × (-3)7 e. (23)5
Use an electronic calculator equipped with a power function to compute each of the following, correct to four decimals. a. √ (5184) b. √ (205.9225) c. 7√ (2187) d. 10√ (1.1046221) e. 20√ (4.3184)

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