The development of a new product will require the expenditure of $150,000 at the beginning of each of the next three years. When the product reaches the market at the beginning of Page 618 oYear 4, it is expected to increase the firm’s annual year-end profit by $90,000 for seven years. Then the product line will be terminated, and $100,000 of the original expenditures should be recovered promptly. If the firm’s cost of capital is 8.5%, should it proceed with the project?
> Simplify and collect the like terms. 2(7x – 3y) – 3(2x – 3y)
> Simplify and collect the like terms. (7m3 – m – 6m2 + 10) – (5m3 – 9 + 3m – 2m2)
> Simplify and collect the like terms. (6x2 – 3xy + 4y2) – (8y2 – 10xy – x2)
> Simplify and collect the like terms. 1 – (7e2 – 5 + 3e – e3)
> Evaluate expressions to six-figure accuracy. 0.893–1/2
> Simplify and collect the like terms. 4x2y + (–3x2y) – (–5x2y)
> Simplify and collect the like terms. (5s – 2t) – (2s – 4t)
> Simplify and collect the like terms. 4x2y – 3x2y + (–5x2y)
> Perform the multiplication or division indicated and collect the like terms. (4r – 3t) – (2t + 5r)
> Perform the multiplication or division indicated and collect the like terms. (3p2 – 5p)(–4p + 2)
> Simplify and collect the like terms. 5s – 2t – 2s – 4t
> Perform the multiplication or division indicated and collect the like terms. (4r – 3t)(2t + 5r)
> Perform the multiplication or division indicated and collect the like terms. − ( p 2 − 4 p q − 5 p ) ( 2 q p )
> Perform the multiplication or division indicated and collect the like terms. –5xy(2x2 – xy – 3y2)
> Perform the multiplication or division indicated and collect the like terms. 9k(4 – 8k + 7k2)
> Evaluate expressions to six-figure accuracy. (0.001)–2
> Perform the multiplication or division indicated and collect the like terms. 4a(3ab – 5a + 6b)
> Simplify and collect the like terms. 6a – [3a – 2(2b – a)]
> Solve the equations. 2–7x – 10 = 11
> Simplify and collect the like terms. 15x – [4 – 2(5x – 6)]
> Solve the equations. b 3 − 1 = 5
> Simplify and collect the like terms. 6a – [3a – 2b – a]
> Solve the equations. 6(y – 4) = 0
> Simplify and collect the like terms. 15x – [4 – 5x – 6]
> Simplify and collect the like terms. 4(a2 – 3a – 4) – 2(5a2 – a – 6)
> Solve the equations. 5 + 3x = 20
> Evaluate expressions to six-figure accuracy. 5–3/4
> Solve the equations. 2a – 9 = a + 1
> Simplify and collect the like terms. (–p) + (–3p) + (4p)
> Perform the multiplication or division indicated and collect the like terms. 6 a2b − 2ab2
> Mr. and Mrs. Smith give their three children, Matt, Pat, and Stanley, weekly allowances in the ratio 1 : 3 : 6. The total allowance for the three children is $90 a week. When Stanley got a full-time job, the Smiths decided to stop his allowance and divid
> Perform the multiplication or division indicated and collect the like terms. 18 x 2 3 x
> Winnings from a lottery ticket are to be divided among four co-workers in the ratio 1 : 2 : 3 : 4. If they collectively won $10,000, how much of the total winnings should each person receive?
> Shawn purchased a box of 1000 screws for a decking project that cost him $60.00 (before tax). When the project was completed he returned a part box of 400 screws. How much was the refund (without tax)?
> Perform the multiplication or division indicated and collect the like terms. 5(2x – y)(y + 3x) – 6x(x – 5y)
> Josie used half of her weekly paycheque to pay her cell phone bill. To earn more money, she sold her skateboard on Kijiji for $50. How much was her paycheque if she was left with $170 for the week?
> Perform the multiplication or division indicated and collect the like terms. 3(a – 2)(4a + 1) – 5(2a + 3)(a – 7)
> Evaluate expressions to six-figure accuracy. 73/2
> Samuel won $2000 in a lottery and gave $200 to each of his siblings. If he was left with $600, how many brothers and sisters does Samuel have?
> Perform the multiplication or division indicated and collect the like terms. (3p2 – 5p) + (–4p + 2)
> A computer salesperson earns $400 a week plus a 2% commission on all sales. If they earned $600 for the week, what was their level of sales?
> What is 25% of 80?
> A bookstore customer purchased a binder priced at $9.50 plus 4 pencils. The total cost of the order was $12.50 before taxes. How much did each pencil cost?
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 5 2 3
> Four buses were chartered to take 177 business students on a field trip. If 9 students travelled by car and the rest filled the buses, how many students were in each bus?
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 10 5
> Solve the equations. 15 p 2 = 7 p + 4
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 2 1 3
> Evaluate expressions to six-figure accuracy. (1 + 0.055)1/6 – 1
> Solve the equations. x + 2 x − 1 = 4
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 1 1 2
> Solve the equations. 2(4x – 5) = x – 3
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 3 4
> Solve the equations. 12 – 3x – 8 = –10x – 10
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 1 4
> Solve the equations. 4 = 10 − m 3
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 2 5
> What is 20% of 120?
> Express first as a decimal and then as a percent. Round your answers to two decimal places if needed. 1 10
> Evaluate expressions to six-figure accuracy. –272/3
> Jeffrey puts 20% of every paycheque into a savings plan and 50% of the money in the savings plan is in a Tax-Free Savings Account (TFSA). If he earns $1000 every paycheque, how much money is he putting into the TFSA?
> Evaluate: ( 2 − 4 ) 2 5 − 2 2
> Evaluate: 2 2 − 4 ( 4 − 2 ) 2
> Evaluate: (12 − 2) × (5 + 22) × 0
> Evaluate: 54 − 36 ÷ 4 + 22
> Evaluate: (18 ÷ 3 + 6) × 2
> Evaluate: 20 − (4 × 2 – 8)
> Evaluate: 18 ÷ (3 + 6) × 2
> Evaluate: (20 − 4) × 2 − 8
> Evaluate: 18 ÷ 3 + 6 × 2
> Evaluate expressions to six-figure accuracy. (1 + 0.0275)1/3
> Evaluate: 20 − 4 × 2 − 8
> Stan is a real estate salesperson. He receives 60% of the 4.8% commission that the real estate agency charges on sales. If his sales for the past year were $5,225,000, what was the dollar value of his commission?
> The Royal Canadian Mint sells one-troy-ounce (31.16 g) platinum collector coins of 99.95% purity. How many milligrams of impurities are in a single coin?
> The Calgary Flames hockey team announced that its season ticket sales represent 67.50% of the Scotiabank Saddledome’s seating capacity of 19,289 seats. Rounded to the nearest 100, how many seats were not sold to season ticket holders?
> Evaluate, accurate to the nearest cent or two decimal places. $ 45 [ 1 − 1 ( 1 + 0.0837 2 ) 4 ] 0.0837 2 + $ 1000 ( 1 + 0.0837 2 ) 4
> Evaluate, accurate to the nearest cent or two decimal places. $ 9500 ( 1 + 0.075 4 ) 5 − 1 0.075 4
> Evaluate, accurate to the nearest cent or two decimal places. $ 350 0.0975 12 [ 1 − 1 ( 1 + 0.0975 12 ) 5]
> Evaluate, accurate to the nearest cent or two decimal places. $ 1000 [ ( 1 + 0.09 12 ) 7 − 1 0.09 12 ]
> Evaluate, accurate to the nearest cent or two decimal places. $ 780 ( 1 + 0.0825 2 ) 5 ( 1 + 0.10 12 ) 8
> Evaluate, accurate to the nearest cent or two decimal places. $ 6600 ( 1 + 0.085 × 153 365 ) 1 + 0.125 × 82 365
> Evaluate expressions to six-figure accuracy. 1 − ( 1.00 6 ¯ ) − 32 0.00 6 ¯
> In a basketball game, the Langara College Falcons scored 54. 54 ¯ % of 33 shots from the 2-point zone, 46. 6 ¯ % of 15 attempts from the 3-point distance, and 79.3% of 29 free throws (1 point each). How many points did the Falcons score?
> In the month of July, a convenience store had total sales of $102,300 from its gas pumps and other in-store products. If the Harmonized Sales Tax (HST) is 13% of sales, how much HST was collected on the in-store products if these sales represent 36% of t
> Bethany and Irwin estimate their total cost for a vacation in Cuba to be $14,775. If 53% of this cost is for flights and accommodations and 42% is for meals, how much money will they be able to spend on entertainment?
> Mike and Laurie are building a home and have budgeted 5.5% of the $458,000 construction cost for windows. If they purchase energy-efficient windows they can get a 12% rebate on the cost of the windows. What is the dollar value of the rebate on the window
> A local hydro company uses smart meters to measure hydro consumption. Off-peak rates in the winter months apply from 7 p.m. to 7 a.m., mid-peak hours apply from 11 a.m. to 5 p.m., and on-peak hours apply from 7 a.m. to 11 a.m. and again from 5 p.m. to 7
> How much is 1 2 % of $30?
> 0.025% of $200 is what amount?
> What amount is 250% of $25?
> What is 2.75% of $2.75?
> What is 33 1 3 % of $1527?
> Evaluate expressions to six-figure accuracy. 1 − 1.0225 − 20 0.0225
> Evaluate, accurate to the nearest cent or two decimal places. $ 550 ( 1 + 0.115 2 ) 4
> Evaluate, accurate to the nearest cent or two decimal places. $ 15,400 ( 1 + 0.13 12 ) 6
> Evaluate, accurate to the nearest cent or two decimal places. $ 950.75 ( 1 − 0.095 4 ) 2
> Evaluate, accurate to the nearest cent or two decimal places. $ 650 ( 1 + 0.105 2 ) 2
> Evaluate, accurate to the nearest cent or two decimal places. $ 10,000 1 − 0.10 × 182 365
> Evaluate, accurate to the nearest cent or two decimal places. $ 3490 1 + 0.125 × 91 365
> Evaluate, accurate to the nearest cent or two decimal places. $ 790.84 1 + 0.13 × 311 365
