Question: Determine the x-intercept and y-intercept

> A partnership in a public accounting practice has seven partners and 12 accounting technicians. Each partner draws the same salary, and each technician is paid the same salary. The partners calculate that if they give the technicians a raise of 8% and if

> A convenience store sells canned soft drinks at $4.35 for a six-pack or 90 cents for a single can. If revenue from the sale of 225 cans of soft drinks on a weekend was $178.35, how many six-packs and how many single cans were sold?

> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. x − y = 2 3 x + 4 y = 20

> As a fundraiser, a local charity sold raffle tickets on a trip to Disney World at $2 each or three for $5. In all, 3884 tickets were sold for a total of $6925. How many people bought tickets at the three-for-$5 discount?

> In the first week of July, a beer and wine store sold 871 cases of beer and paid refunds on 637 cases of empty bottles, for a net revenue of $12,632.10. For the following week the net revenue was $13,331.70 from the sale of 932 cases and the return of 80

> Tiny-Tot School purchases the same amount of milk and orange juice each week. After price increases from $1.50 to $1.60 per litre of milk and from $1.30 to $1.37 per can of frozen orange juice, the weekly bill rose from $57.00 to $60.55. How many litres

> Marichka bought five litres of milk and four dozen eggs for $19.51. Lonnie purchased nine litres of milk and three dozen eggs for $22.98. What were the prices for a litre of milk and a dozen eggs?

> Express decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits. -8 3

> Product X requires 30 minutes of machining on a lathe, and Product Y requires 45 minutes of machining. If the lathe was operated for 60.5 hours last week for machining a combined total of 93 units of Products X and Y, how many units of each product were

> Mr. LeClair and Ms. Bartoli own adjacent hobby farms. They have just received their property tax notices providing the following assessment and tax information: The regional government applies one property tax rate to residences and a lower tax rate to l

> Colby inherited a small savings-bond portfolio consisting of four $1000 face-value Canada Savings Bonds and six $1000 face-value Ontario Savings Bonds. In the first year, the portfolio earned $438 interest. At the end of the first year, Colby cashed in o

> Buckerfields Garden Supply makes custom fertilizer by mixing appropriate combinations of bulk 6% nitrogen fertilizer with bulk 22% nitrogen fertilizer. How many kilograms of each type should be mixed to make 300 kg of 16% nitrogen fertilizer? (Hint: The

> Budget Truck Rentals offers short-term truck rentals consisting of an hourly rate plus a per-kilometre charge. Vratislav paid $54.45 for a two-hour rental during which he drove 47 km. Bryn paid $127.55 for five hours and 93 km driven. What rate did Budge

> Mr. and Mrs. Chudnowski paid $1050 to fly with their three children from Winnipeg to Regina. Mrs. Ramsey paid $610 for herself and two children on the same flight. What were the airfares per adult and per child?

> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. 4 x + y = 5 2 x − 3 y = 13

> Tina drove from Calgary to Vancouver, a distance of 1000 km, in 12.3 hours. She drove at 100 km/h on the “open road,” but slowed to 50 km/h on urban and curving roads. What distance did she drive at each speed? (Hint: Travelling time at a particular spee

> The Hungry Heifer diner offers an all-you-can-eat buffet at $25.90 per adult and $17.90 per child. On a particular day, the diner had total buffet revenue of $6609.40 from 266 customers. How many of the customers were children?

> The annual dues for Southern Pines Golf Club are $2140 for regular members and $856 for student members. If the total revenue from the dues of 583 members for the past year was $942,028, how many members did the club have in each category?

> Express decimal and percent equivalent forms in the repeating decimal notation. Show just the minimum number of decimal places needed to display the repeating digit or group of digits. 5 6

> Solve the pairs of equations to three-figure accuracy. Verify your solution. 318 j – 451 k = 7.22 – 249 j + 193 k = - 18.79

> Solve the pairs of equations to three-figure accuracy. Verify your solution. 0.33 e + 1.67 f = 292 1.2 e + 0.61 f = 377

> Solve the pairs of equations to three-figure accuracy. Verify your solution. 68.9 n – 38.5 m = 57 45.1 n – 79.4 m = - 658

> Solve the pairs of equations to three-figure accuracy. Verify your solution. 37 x – 63 y = 235 18 x + 26 y = 468

> Solve the pairs of equations to three-figure accuracy. Verify your solution. 2.5 a + 2 b = 11 8 a + 3.5 b = 13

> Solve the pairs of equations to three-figure accuracy. Verify your solution. 2 v + 6 w = 1 – 9 w + 10 v = 18

> Solve the pairs of equations to three-figure accuracy. Verify your solution. 0.03 x + 0.05 y = 51 0.8 x – 0.7 y = 140

> Solve the pairs of equations using either the substitution or elimination methods. Verify your solution. 3 x − 2 y = 6 y = x − 1

> Determine the slope and b-intercept of each of the following equations. 1. 2b + 3 = 5a 2. 3a − 4b = 12 3. 0 = 2400 − 4a − 5b 4. 7a = −8b

> Determine the slope and y-intercept of each of the following equations. 1. 2x = 3y + 4 2. 8 − 3x = 2y 3. 8x − 2y − 3 = 0 4. 6x = 9y

> Express decimal and percent equivalent forms to five-figure accuracy. 22.5, -12

> Draw graph each of the equations. y = 4.5x + 5000 over the range x = 0 to x = 6000

> Draw graph each of the equations. y = 60x + 6000 over the range x = 0 to x = 50

> Draw graph each of the equations. 3x − 4y + 12 = 0 over the range x = −8 to x = 12

> Draw graph each of the equations. y = 4 over the range x = −3 to x = 6

> Draw graph each of the equations. 2x + y = 4 over the range x = −3 to x = 6

> Use the graphical method to solve the pairs of equations. 7 p − 3 q = 23 −2 p − 3 q = 5

> Use the graphical method to solve the pairs of equations. 4 a − 3 b = −3 5 a - b = 10

> Use the graphical method to solve the pairs of equations. y − 3 x = 11 5 x + 30 = 4 y

> Use the graphical method to solve the pairs of equations. x + y = 4 2 x - y = 8

> Draw graph each of the equations. −2x + y = 4 over the range x = −3 to x = 6

> Express decimal and percent equivalent forms to five-figure accuracy. 37.5 50

> Use the graphical method to solve the pairs of equations. x − 3 y = 0 x + 2 y = −5

> Use the graphical method to solve the pairs of equations. 6 x = 3 y 4 x - y = 1

> Use the graphical method to solve the pairs of equations. x − 3 y = 3 y = −2

> Use the graphical method to solve the pairs of equations. x + y = 2 x = 5

> Randolph runs a home appliance repair business and charges a service call fee of $85 plus $15 per half hour for his labour. Write an equation for calculating the total charges, C, in terms of hours of labour, H. What would be the slope and C-intercept?

> The formula for converting from Celsius temperatures, C, to Fahrenheit temperatures, F, is F = 9 5 C + 32 . 1. If you were to plot a graph of F vs. C, what would be the slope and F-intercept of the line? 2. The slope represents the change in F per unit c

> In his sales job, Ehud earns a base salary of $1500 per month plus a commission of 5% on sales revenue. Write an equation for calculating his gross earnings, E, for a month in terms of his sales revenue, R. If you were to plot a graph of E vs. R, what wo

> A plumber charges a flat $50 for a home service call plus $10 per 15 minutes of labour. Write an equation for calculating the total charges, C, in terms of the hours of labour, H. If you were to plot a graph of C vs. H, what would be the slope and C-inte

> Determine the r-intercept and s-intercept of each of the following equations. 1. 10r – 4s = 20 2. 3r + 4s –12 = 0 3. 15 – 3r = 20s 4. 7r = 9s

> Express decimal and percent equivalent forms to five-figure accuracy. -1 11 32

> Draw graph each of the equations. −2x + y = 0 over the range x = −3 to x = 6

> Comfort Shoes’ normal rate of markup on selling price is 45%. What rate of markdown can the store offer on a pair of shoes normally priced at $140 and still realize a 20% rate of markup on cost at the sale price?

> A bedroom suite costs Town & Country Furniture $5000 less 30% and 15%. The normal rate of markup on cost is 90%. The suite is marked down 30% in a mid-summer sale. What is the sale price?

> A retailer pays $81 to a wholesaler for an article. The retail price is set using a 40% rate of markup on selling price. To increase traffic to his store, the retailer marks the article down 20% during a sale. What is the sale price?

> In February, Long Lake Nursery ordered lawn fertilizer at $18.60 less 33 1 3 % , 12 1 2 % , and 5% per 20-kg bag. The fertilizer is normally priced to provide a 55% rate of markup on selling price. Operating (overhead) expenses are 30% of cost. To clear

> Hi-Lites Inc. purchased a ceiling light fixture for $480 less 40% and 25%. The fixture was then marked up by 120% of cost. Overhead expenses are 55% of cost. In an anniversary sale, Hi-Lites offered the fixture at 40% off. Determine: 1. The net cost of t

> Morgan Photography’s markup on its antique picture frames is 35% of selling price. Its cost on the medium-size antique frame is $115.70. For portrait photos shot by Morgan’s, this frame’s price is reduced to $133.50. What is Morgan’s operating profit or

> Elite Sports sells Kevlar-graphite shaft hockey sticks for $147 each. Elite’s wholesale cost is $98. For a spring clearance sale, the prices are marked down by 20%. If overhead expenses are 15% of the regular selling price, what is the unit operating pro

> Furniture Warehouse bought upright freezers for $1800 less 33 1 3 % and 5%. The store’s overhead works out to 30% of cost. The freezers are initially priced so that a profit of 16 2 3 % cost will be realized when a freezer is sold at a “15% off” price. 1

> A retailer marked up an item from its $7.92 cost to the regular selling price of $19.80. During the store’s anniversary sale, the item was offered at 20% off. On a sale at this price, what was the (reduced) operating profit if unit overhead expenses were

> Express decimal and percent equivalent forms to five-figure accuracy. 7 8

> A machine can be leased for four years at $1000 per month payable at the beginning of each month. Alternatively, it can be purchased for $45,000 and sold for $5000 after four years. Should the machine be purchased or leased if the firm’s cost of borrowin

> Sonic Boom obtained a surround sound system for $2400 less 30% and 15%. The store’s pricing is based on overhead expenses of 40% of cost. The “regular price” of the surround sound system is set so that, if it is sold in a “20% off” sale, the store’s oper

> A jewellery store purchased a diamond ring for $2500 less 40% and 5%. The store’s average unit overhead expenses are 30% of cost. The “regular price” of the ring is established so that, if it is sold in a “20% off” sale, the unit operating profit at the

> A discount furniture store bought a memory foam mattress at the wholesale price of $665. The “regular price” of the mattress is set so that, in a “20% off” sale, the rate of markup on selling price is 30%. 1. What is the price of the mattress in a “20% o

> Mr. Vacuum obtains vacuum cleaners for $720 less 33 1 3 % and 15%. A demonstration unit regularly priced at $750 was sold for $450. The shop’s overhead is 22% of cost. 1. What was the markdown rate on the vacuum cleaner? 2. What was the profit or loss on

> Fashion Master purchased men’s sweaters for $72 less 40% and 15%. The normal rate of markup on selling price is 40%, and overhead is 25% of the regular selling price. The sweaters were reduced to $45.90 for the store’s Boxing Day Blowout. 1. What was the

> United Furniture buys reclining rocking chairs at $550 less 40% and 10%. The price is marked up to allow for overhead of 50% of cost and profit of 35% of cost. The unit on display in the store acquired a stain. What rate of markdown from the regular pric

> Rainbow Paints is discontinuing a line of paint that it purchased at $30 less 45% and 10% per 4-L pail. The store’s overhead is 50% of cost, and normal operating profit is 30% of cost. If the manager of the store is prepared to accept a loss of one-quart

> A lawn mower retails for $349. The dealer’s overhead is 25% of cost, and normal operating profit is 16 2 3 % of cost. 1. What is the largest amount of markdown that will allow the dealer to break even? 2. What rate of markdown will price the lawn mower a

> Water Sports Ltd. pays $360 less 25% for a backyard above-ground pool kit. Overhead expenses are 16 2 3 % of the regular selling price, and the operating profit is 15% of the selling price. 1. What is the maximum rate of markdown the store can offer and

> Just Dresses sets its regular prices based on overhead expenses at 50% of cost and an operating profit of 40% of cost. What will be the operating profit (as a percent of cost) for dresses sold at a 20% discount?

> The label on a single-serving can of soup states that it contains 35% of an adult’s daily sodium intake. If the maximum recommended sodium intake is 2300 mg, how many grams of sodium need to be consumed daily through other foods?

> An item that cost $37.25 was marked up by 60% of cost. Later, the retail price was reduced to $41.72. If unit overhead expenses were 20% of cost, what was the unit operating profit at the reduced price?

> Poles Apart obtains Nitro T1 snowboards at a cost of $345 and marks them up by 35% of the selling price. For its annual spring sale, Poles Apart marks down prices by 25%. What is the sale price of the Nitro T1 snowboards?

> 1. Merchant A operates on a rate of markup on cost of 45%. If she later marks the price of a few items down to their cost in order to attract additional customers to the store, what rate of markdown can she advertise? 2. Merchant B operates on a 45% rate

> Digital Devices plans to stop carrying the Casio FC-100 calculator. It normally marks up the calculator from the $71.50 wholesale cost to the regular selling price of $99.95. 1. What is the normal rate of markup on selling price? 2. What rate of markdown

> Garden Centre purchases lawnmowers from a wholesaler for $249 and marks them up by 25% of selling price. At the end of the summer, a scratched floor-display mower’s price is reduced to 10% above cost. What percentage price reduction should the price tag

> Calculate the reduced price if an item costing $19.25 is marked up by 35% of the selling price and then marked down by 25%.

> The manager of a home and garden store buys patio furniture sets for $580 each and marks them up by 50% of cost. In late August, he clears out remaining inventory at a 30% markdown. Determine: 1. The clearance price. 2. The rate of markdown (from the reg

> An item was marked up from $24.99 to $49.98 before it was marked down to $24.99 and sold at cost. Determine: 1. The rate of markup on cost. 2. The rate of markdown.

> An item was marked up from $58.50 to $95.00, then later marked down by 30% during a spring sale. Determine: 1. The original rate of markup on selling price. 2. The price during the spring sale.

> A pharmacy marks up its springtime shipment of sunglasses to provide for overhead expenses of 40% of cost and a profit of 70% of cost. At the end of the summer, what rate of markdown can the pharmacy apply to the remaining inventory of sunglasses and sti

> The maximum amount an individual can contribute to her Registered Retirement Savings Plan (RRSP) for a year is set from time to time by the regulations of the Income Tax Act. For the year 2020, the maximum contribution is the lesser of $27,230 or 18% of

> Workwear Station uses a markup on cost of 60% to establish its retail prices. This pricing rule builds in a profit of 25% of cost. What rate of markdown can Workwear Station offer and just break even on the reduced price?

> Morgan’s Department Store mailed out 15%-off coupons for its 20th Anniversary Sale. The coupons may be used for any products in the store. For items already on sale, the coupon applies to the sale price. 1. What price would a coupon-holder pay for a beds

> Merchants C and D sell the same article at $69.95 and $64.95, respectively. They both advertise that they will match the price offered by any other store on any product that they stock. 1. What discount rate must C give to match D’s price marked down by

> Calculate the reduced selling price on an item that is marked down 55%, an amount equivalent to a discount of $358.

> Bargain Express advertises cookware sets at 40% off. Their ad claims, “You save $102.” What are the regular and reduced selling prices for the cookware sets?

> The sign on a rack of sport coats reads: “All prices already marked down 30%!” What is the regular selling price of a coat marked at: 1. $100? 2. $196.49?

> An item costing $185 was marked up by 50% of cost and subsequently marked down by $60 during a sale. Determine: 1. The regular selling price. 2. The rate of markdown.

> A men’s clothing store marks up suits by 75% of cost. This provides an operating profit of 15% of the selling price. If a suit’s cost to the store is $132, determine: 1. Its selling price. 2. The rate of markup on selling price. 3. The operating profit.

> The price structure in a store is such that, for every $100 of sales, $40 is the cost of the goods sold and $45 goes to overhead costs. For an item with a wholesale cost of $119, determine: 1. Its selling price. 2. The rate of markup on cost. 3. The rate

> A merchant prices his inventory to allow for operating expenses at 30% of selling price and an operating profit of 20% of selling price. If an item is priced at $49.98, determine: 1. The rate of markup on selling price. 2. Its cost. 3. The rate of markup

> Projects X and Y both require an initial investment of $100,000. Project X will generate an annual operating profit of $25,000 per year for six years. Project Y produces no profit in the first year, but will yield an annual profit of $25,000 for the seve

> A retailer prices her goods to cover operating expenses at 30% of cost and to generate a profit of 20% of cost. For an item she buys from her wholesaler at $49, determine: 1. Its selling price. 2. The rate of markup on cost. 3. The rate of markup on sell

> Unit operating expenses for an item costing $30 are estimated at 40% of cost, and the desired operating profit is 25% of cost. Determine: 1. The selling price. 2. The rate of markup on cost. 3. The rate of markup on selling price.

> Loblaws purchases raisins at $85.75 per 25-kg box and then sells them in its bulk foods department for $0.59 per 100 g. What are Loblaws’ rate of markup on cost and rate of markup on selling price of the raisins?

> Omega Restaurant buys Shiraz wine at $16.95 per bottle, and sells it to customers at $34.95 per bottle. Calculate Omega’s rate of markup on cost and rate of markup on selling price of the wine.