Exam 1: Review and Applications of Basic Mathematics

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Evaluate the following accurate to the nearest cent: Evaluate the following accurate to the nearest cent:

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A survey of 254 randomly chosen residences in a city revealed that 4 had four flat screen television sets, 22 had three sets, 83 had two sets, 140 had one set, and 5 had no flat screen TV set at all. Based on the survey, what would you estimate to be the average number of flat screen TV sets per household?

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Evaluate (8 ÷ 5 - 2) ÷ (12 - 2 - 4) =

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$180 is 120% of what amount accurate to the cent?

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Evaluate the following: Evaluate the following:

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Ross's compensation is to be changed from an hourly rate of $15.75 for a 40-hour week to a salary paid semimonthly. What should he be paid semimonthly in order for his annual earnings to remain the same?

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Evaluate 8 - 4 × (2 - 3)2 =

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0.0505% of $50,000 is what amount accurate to the cent?

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Evaluate Evaluate

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Recognizing the quantities sold, what was the average selling price per unit?

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Barbara's annual salary of $58,800 is paid weekly. She is paid at time and a half for any overtime beyond her regular workweek of 35 hours. What is her gross pay for a week in which she works 39 hours?

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Evaluate Evaluate

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Marcel must temporarily invest some extra funds in his retail business every fall to purchase inventory in preparation for the Christmas season. On September 1 he already had a total of $57,000 invested in his business. On October 1 he invested another $15,000, and on November 1 he injected $27,000. He was able to withdraw $23,000 on February 1, $13,000 on March 1, and $6,000 on May 1. What was the average cumulative investment in the business during the period from September 1 to August 31? (Assume that each month has the same length.)

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In what circumstances will the weighted average be equal to the simple average?

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A shoe salesman is paid the greater of $600 per week or 11% of sales. a) What will be his earnings for a week in which sales are $5636? b) At what volume of sales per week will he start to earn more from the commission based compensation?

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An online discount broker charges a transaction fee of $30 plus an additional 3 cents per share. A full-service broker charges a commission rate of 2.4% of the total dollar value of a stock transaction. Suppose you purchase 200 shares of the Bank of Nova Scotia at $55.40 per share. What percentage are the total fees charged by the online discount broker of the commission you would pay the full-service broker?

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24% of what amount is $162?

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The actual profit of $23,400 for the most recent fiscal quarter was 90% of the forecast profit. What was the forecast profit?

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Calculate the total amount, including both GST and PST, that an individual will pay for a car sold for $39,500 in: a) Alberta b) Quebec c) British Columbia

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What percent of $1150 is $1495?

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