quiz1 - solutions

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Langara College *

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1119

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Mathematics

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Apr 3, 2024

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MATH1119 - Quiz 1 1. [3 marks] What is 2.75% of $2.75? 0.0275 x $2.75 = $0.08 2. [3 marks] 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? Solution. Seats not sold to season-ticket holders = 100% 67.5% = 32.5% Number of seats not sold to season-ticket holders = 0.325 x 19289 = 6,269 seats Rounded to the nearest 100, 6300 seats were not sold to season-ticket holders. 3. [4 marks] Brianne spent the summer touring Canadian cities. She spent 4 nights in a hotel in Montreal at $158 a night, 2 nights in a Toronto hotel at $199 a night, 1 night in Niagara Falls for $239, 5 nights in Calgary at $130 a night, and 2 nights in Kamloops for $118 a night. What was the average cost of her hotel rooms for the entire trip? Solution. $158 ( 4 ) + $199 ( 2 ) + $239 ( 1 ) + $130 ( 5 ) + $118(2) 4+2+1+5+2 = $2155 14 = $153.93
4. [4 marks] One year ago, Sook-Yin allocated the funds in her portfolio among five securities in the proportions listed below. The rate of return on each security for the year is given in the third column of the table. Calculate the rate of return for the entire portfolio. Solution. = 12.40% ( ) ( ) ( ) ( ) ( ) 1.00 27% 0.20 12% 0.35 13% 0.10 10% 0.20 14% 0.15 + + + +
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