Express ratios in its lowest terms. 26 : 130 : 65
> Solve the proportions for the unknown quantities. m : 3 4 = 1 2 : 9 8
> Determine the IRR on the strip mine proposal in Problem 4 of Exercise 17.2. Should the mine be developed, given the mining company’s 10% cost of capital? Data from Exercise 17.2 Problem 4: A proposed strip mine would require the investment of $3 million
> One of the largest lottery jackpots ever won was on March 27, 2019. The winning numbers for the $768,400,000 jackpot in America’s biggest lottery game, Powerball, were on a single winning ticket sold in Wisconsin. The Powerball rules gave the winner a ch
> Solve the proportions for the unknown quantities. 0.057 : 0.149 = z : 0.05
> Solve the proportions for the unknown quantities. 0.043 : y = 550 : 198
> Solve the proportions for the unknown quantities. 1.56 : h = 56.2 : 31.7
> Solve the proportions for the unknown quantities. 1.89 : 0.31 = 175 :k
> Solve the proportions for the unknown quantities. d : 13.2 = 16 : 31
> Executive Fashions sold four-sevenths of its inventory at cost in a bankruptcy sale. The remainder was sold at 45% of cost to liquidators for $6700. 1. What was the original cost of the inventory that was sold to the liquidators? 2. What were the proceed
> The statistics for a professional accounting program indicate that five-sevenths of those who enter the program complete Level 1. Two-ninths of the Level 1 completers do not finish Level 2. If 587 students completed Level 2 last year, how many (including
> Regal Resources owns a 58% interest in a mineral claim. Yukon Explorations owns the remainder. If Regal sells one-fifth of its interest for $1.2 million, what is the implied value of Yukon’s interest?
> Shirley had a three-sevenths interest in a partnership. She sold three-fifths of her interest for $27,000. 1. What is the implied value of the entire partnership? 2. What is the implied value of Shirley’s remaining partnership interest?
> The Ministry of Education reported that a certain province’s average school district has 13,450 students in “K–12” programs, an annual budget of $87.4 million, and 635 full-time-equivalent teachers. The Middleton School District (MSD), with an annual bud
> A venture requiring an immediate investment of $500,000 and an additional investment of $200,000 three years from now will generate annual profits of $150,000 for seven years starting in the first year. There will be no significant terminal value. Calcul
> Solve the proportions for the unknown quantities. 88 : 17 = a : 45
> Tom Nortons Donuts considers the Hamilton area to be its most mature, fully exploited market. The 59 outlets in the metropolitan area serve a population of 675,000 and generate annual sales of $66.67 million. The management of Tom Nortons views its Calga
> Statistics are kept for hockey goalies tracking their goals-against average (GAA), or the number of goals allowed in 60 minutes of play (not counting empty-net goals). If a goalie has a 1.35 GAA, how many goals would you expect them to allow in 150 minut
> The Red Deer location of a national franchise has followers on Twitter, Facebook, and Instagram in the ratio of 14,500 : 22,300 : 8500. If this location is representative for the Alberta franchises, how many Twitter and Instagram followers should the Med
> A province’s Ministry of Social Services has found that both the number of people needing social assistance and the province’s total expenditures on social assistance are proportional to the rate of unemployment. Last August, when the provincial unemploy
> A business consultant is analyzing the cost structure of two firms in the grocery business. On sales of $3.66 million, Thrifty’s had wholesale costs of $2.15 million and overhead expenses of $1.13 million. If Economart had the same proportionate costs on
> A punch recipe calls for fruit juice, ginger ale, and vodka to be mixed in the ratio 6 : 2.5 : 1. How much fruit juice and vodka should be mixed with a 2-L bottle of ginger ale?
> The worldwide sales for Samsung, Apple, and Huawei smartphones in the first quarter of 2018 were in the ratio 21 : 14 : 11. If Huawei had sales of 40.4 million units, what were the first-quarter sales for Apple and Samsung during the same time period?
> An international equity mutual fund includes American stocks, Japanese stocks, German stocks, and British stocks in the ratio 27 : 19 : 14 : 11, respectively. If its current holdings of German stocks are valued at US$238 million, what are the values of i
> Based on past experience, a manufacturing process requires 2.3 hours of direct labour for each $174 worth of raw materials processed. If the company is planning to consume $78,300 worth of raw materials, what total amount should it budget for labour at $
> The introduction of a new product would require an initial investment of $120,000. The forecast profits in successive years of the anticipated four-year product life are $15,000, $60,000, $40,000, and $35,000. Determine the IRR of the investment. Should
> Connie’s neighbour sold 14.5 hectares of raw land for $128,000. If Connie were to sell her 23.25-hectare parcel at a proportionate price, to the nearest dollar, what amount would she receive?
> Solve the proportions for the unknown quantities. 17 : q = 119 : 91
> A high-definition movie lasting 1 hour and 45 minutes consumed 4.5 GB of memory on the hard drive of a personal video recorder (PVR). Rounded to the nearest minute, what is the maximum duration of high-definition recording that could be saved on the PVR’
> The West Essex School Board employs 348 teachers for the 7412 students registered in the board’s schools in the current year. The enrolment forecast for next year is 7780 students. Assuming the same student–teacher ratio for the next year, how many addit
> The Borellis wish to purchase a larger house to accommodate their growing family. The current year’s property tax on their home amounts to $3545 based on its assessed value of $328,000. The assessed value of a property they are seriously considering is $
> Solve the proportions for the unknown quantities. 8500 : x : y = 1. 3 ¯ : 1 : 1. 6 ¯
> Solve the proportions for the unknown quantities. 0.69 : 1.17 : 0.4 = r : s : 6.5
> Solve the proportions for the unknown quantities. a: 58 : 132 = 38 : 27 : b
> Solve the proportions for the unknown quantities. 625 : f : 500 = g : 3 : 4
> Solve the proportions for the unknown quantities. 3 : 4 : 13 = x : y : 6.5
> A natural resource development and extraction project would require an investment of $1 million now and $1 million at the end of each of the next four years. Then it would generate annual profits of $2 million in each of the subsequent four years. There
> Solve the proportions for the unknown quantities. 6 : 7 : 5 = n : 105 : m
> Solve the proportions for the unknown quantities. 10 3 : 12 7 = 5 18 : r
> Solve the proportions for the unknown quantities. 9 : 7 = 54 : b
> Express ratios in its lowest terms. 0.24 : 0.39 : 0.15
> Express ratios in its lowest terms. 11.7 : 7.8 : 3.9
> Express ratios in its lowest terms. 0.84 : 1.4 : 1.96
> Express ratios in its lowest terms. 2.5 : 3.5 : 3
> Express ratios in its lowest terms. 0.08 : 0.12
> The bounce rate measures the percentage of visitors who leave a Web site after viewing only one page. If a Web page has a bounce rate of 62.5% what is the ratio of bounces to visitors?
> Jenn spends 1 hour and 45 minutes a day playing online games. Her sister Amanda spends 3 hours and 30 minutes a day gaming online, and their brother Steve spends 6 hours and 15 minutes a day playing online games. Write the ratio for the number of hours J
> An $80,000 capital investment will produce annual profits of $15,000 for the first five years and $10,000 for the next five years. It will have no residual value. What is its IRR? Should it be undertaken if the cost of capital is 8.5%?
> The instructions for preparing the fuel mix for a two-cycle engine are to add 250 mL of oil to 5 L of gasoline. What is the ratio (by volumes) of gasoline to oil in the fuel mix?
> The brine used in an industrial process is 12.5% salt by weight. What is the ratio (by weights) of salt to water in the brine?
> A provincial government budget forecasts expenditures of $1.56 billion on education, $1.365 billion on health services, and $975 million on social services. Express the three budget items as a ratio.
> The cost to manufacture a fibreglass boat consists of $4480 for materials, $6330 for direct labour, and $2650 for overhead. Express the three cost components as a ratio.
> Victoria Developments has obtained $3.6 million of total capital from three sources. Preferred shareholders contributed $550,000 (preferred equity), common shareholders contributed $1.2 million (common equity), and the remainder was borrowed (debt). What
> Don, Bob, and Ron Maloney’s partnership interests in Maloney Bros. Contracting are in the ratio of their capital contributions of $78,000, $52,000, and $65,000, respectively. What is the ratio of Bob’s to Ron’s to Don’s partnership interest?
> Shaheed has budgeted 12% of his monthly spending to cell phone and internet, 22% to food, and 40% to rent and utilities. What is the ratio of his spending for cell phone and internet to food to rent and utilities?
> An online catalogue business sent out 12,000 emails to previous customers in its database, of which 10,500 were successfully delivered and 750 were opened. What is the ratio of emails sent to emails delivered to emails opened?
> An online business purchased 15,000 Google display ads that 1250 people clicked on, and 250 purchases were finalized as a result of the ads. What is the ratio of ads displayed to clicks to purchases?
> Determine the IRR on the school bus contract in Problem 1 of Exercise 17.2. At which of the three costs of capital would the contract be financially acceptable? Data from Exercise 17.2 Problem 1: St. Lawrence Bus Lines is offered a contract for busing s
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 5 1 2 : 3 3 4 : 8 1 3
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 5 8 : 17 11 : 6 7
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 0.47 : 0.15 : 0.26
> Express ratios in its lowest terms. 45 : 15 : 30
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 3.5 : 5.4 : 8
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 11 : 38 : 27
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 77 : 23 : 41
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 4 3 13 : 27 17
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 3 7 : 19 17
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 0.0131 : 0.0086
> An investment of $100,000 will yield annual profits of $12,000 for 10 years. The proceeds on disposition at the end of the 10 years are estimated at $15,000. On the basis of its IRR and a 6% cost of capital, should the investment be made?
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 0.177 : 0.81
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 1.41 : 8.22
> Express ratios as an equivalent ratio whose smallest term is 1. Maintain three-figure accuracy. 7.6 : 3
> Express ratios in its lowest terms. 10 1 2 : 7 : 4 1 5
> Express ratios in its lowest terms. 56 : 21
> Express ratios in its lowest terms. 1 15 : 1 5 : 1 10
> Express ratios in its lowest terms. 2 3 : 3 4 : 5 6
> Express ratios in its lowest terms. 4 1 8 : 2 1 5
> Express ratios in its lowest terms. 2 1 2 : 5 8
> Express ratios in its lowest terms. 1 1 4 : 1 2 3
> Carl Williams does custom wheat combining in southern Alberta. He will purchase either a new Massey or a new Deere combine to replace his old machine. The Massey combine costs $190,000, and the Deere combine costs $156,000. Their trade-in values after si
> Express ratios in its lowest terms. 11 3 : 11 7
> Express ratios in its lowest terms. 3 5 : 6 7
> Express ratios in its lowest terms. 4 3 : 3 2
> Express ratios in its lowest terms. 1 8 : 3 4
> Express ratios in its lowest terms. 0.091 : 0.021 : 0.042
> Express ratios in its lowest terms. 12 : 64
> The top selling brand of cordless vacuums sold 14,000 units at $395 per unit in 2019. What is their market share if the cordless vacuum market had sales of $19.7M?
> Acme Ltd. had sales of $365M in 2019, which represents a 40% market share in the industry. In 2020 their market share decreased to 35% with sales of $309.82M. What is the market growth for the industry?
> BooBoo Banana Athletic Wear had sales of $146.27M in 2019, which represents a 3.6% market share. In 2020 their market share increased to 5.5% with sales of $239.11M. What is the market growth for the athletic wear industry?
> Fassbender Industries tracks the annual sales from each of its six divisions to help evaluate performance and plan budgeting for the following year. Calculate the market growth (divisional growth) for each division.
> A small regional airline has narrowed down the possible choices for its next passenger plane purchase to two alternatives. The Eagle model costs $600,000, and would have an estimated resale value of $100,000 after seven years. The Albatross model has a $
> The home gym equipment industry in Canada had annual sales of $862.4M in 2019. Sales in the industry saw a slight decline of 2.5% in 2020. Sales for the top selling brands for the past two years are shown in the table below. 1. Calculate the market share
> Frito-Lay’s two most popular brands of potato chips are Lays, with a 30.1% market share, and Ruffles, with a 10.4% market share. If sales in the potato chip market were $7.35B for the year, what were sales for Lays and Ruffles?
> Pepsi and Coke have been fighting for dominance in the soft drink industry for decades. In one year, Pepsi held 6.12% of the soft drink market and Coke held 11.95% of the market. If the market as a whole consumed 124.56B litres of soft drinks in the year
> Fassbender Industries tracks the annual sales from each of its six divisions to help evaluate performance and plan budgeting for the following year. Calculate the market share (divisional share) for each division for both 2018 and 2019.
> Industrial Supplies Warehouse tracks the performance of its sales team by looking at the sales share for the team and their annual sales growth. Calculate the missing values in the following table.
> The smart speaker market in North America had sales of $2.9M in 2017 and ballooned to sales of $9.0M in 2018. Google-brand smart speakers had a 19.3% share of this market in 2017. This increased to a 36.2% market share in 2018. Compare the growth of the
> The two top selling brands in a specific market hold 24.5% and 18.6% market shares, respectively. If the top selling brand sold 242,650, how many units of the second top selling brand were sold during the year? Round your answer to the nearest whole numb
> Six different brands compete in the same Canadian market and their sales for 2018 and 2019 are shown in the following table. Calculate the market share for each brand for both 2018 and 2019.
> Rose purchased units of the Trimark Fund one year ago at $24.10 per unit. Today they are valued at $25.50. On the intervening December 31, there was a distribution of $0.83 per unit. (“Distribution” is the term used by most mutual funds for income paid t
> One year ago, Art Vandelay bought Norwood Industries shares for $37 per share. Today they are worth $40 per share. During the year, Art received dividends of $0.60 per share. What was his income yield, capital gain yield, and rate of total return for the
