Question: Express ratios as an equivalent ratio whose

> 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?

> Express ratios in its lowest terms. 26 : 130 : 65

> 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. 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

> Mohawk Enterprises is considering the following investment opportunities. If Mohawk’s cost of capital is 8% and its capital budget is limited to $90,000, which projects should it choose?

> Calculate the income yield, capital gain yield, and rate of total return in each of 2017 and 2018 for BlackBerry shares and Scotia Canadian Bond Fund units.

> Calculate the income yield, capital gain yield, and rate of total return in each of 2017 and 2018 for TD Bank shares and Desjardins Dividend Growth Fund units.

> Calculate the income yield, capital gain yield, and rate of total return in 2018 for BCE Inc. shares and Mawer New Canada Fund units.

> One year ago, $13,000 was invested in units of a mutual fund. The units paid a distribution of $260 during the year, but the mutual fund units are now worth only $11,400. What has been the: 1. Income yield? 2. Capital gain yield? 3. Rate of total return?

> The Globe and Mail Report on Business noted that shares of Compact Computers produced a 55% rate of total return in the past year. The shares paid a dividend of $0.72 per share during the year, and they currently trade at $37.50. What was the price of th

> Victor cannot find the original record of his purchase four years ago of units of the Imperial Global Fund. The current statement from the fund shows that the total current value of the units is $47,567. From a mutual fund database, Victor found that the

> The S&P/TSX Composite Index rose 3.4%, dropped 1.4%, and then rose 2.1% in three successive months. The index ended the three-month period at 9539. 1. What was the index at the beginning of the three-month period? 2. How many points did the index drop in

> Shares purchased one year ago for $8790 are now worth $15,390. During the year, the shares paid dividends totalling $280. Calculate the shares’: 1. Income yield. 2. Capital gain yield. 3. Rate of total return.

> One year ago, Morgan invested $5000 to purchase 400 units of a mutual fund. He has just noted in the Financial Post that the fund’s rate of return on investment for the year was 22% and that the current price of a unit is $13.75. What amount did the fund

> Assume that the TD Bank shares will pay a $1.48 per share dividend in 2019. What must the share price be at the end of 2019 for a total rate of return in 2019 of 7%?

> The investment committee of a company has identified the following seven projects with positive NPVs. If the board of directors has approved a $3 million capital budget for the current period, which projects should be selected?

> Answering this question occupies dozens of financial commentaries as the March 1 RRSP contribution deadline approaches each year. Many financial institutions and mutual fund companies promote the idea of arranging an “RRSP loan” to obtain money for an RR

> Assume that the Suncor Energy shares will pay a $0.40 per share dividend in 2019. What must the share price be at the end of 2019 for a total rate of return in 2019 of 10%?

> The following table shows the rates of total return in successive years from 2010 to 2014 for the PH&N Bond Fund and for the benchmark Toronto Stock Exchange S&P/TSX Composite Index. By how much did the bond fund’s overall perce

> The following table shows the rates of total return in successive years from 2013 to 2017 for the Fidelity Canadian Asset Allocation Fund and for the benchmark Toronto Stock Exchange S&P/TSX Composite Index. By how much did the allocation fundâ