# Where the initial population the final population the

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where the initial population the final population the rate of growth the time in years rt P P e P P r t

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6 Pre-Calculus Mathematics: Booklet 1 (January 2010) Do Not Use 104 (3 marks) 4. There are three boxes containing red marbles and green marbles as indicated in the diagram below. Box I Box II Box III A box is randomly selected, then a marble is randomly selected from that box. What is the probability that the marble is from Box II, given that the marble is red? Express your answer as an exact value or correct to 3 decimal places. 3 red 4 green 2 red 5 green 5 red 1 green

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8 Pre-Calculus Mathematics: Booklet 1 (January 2010) Do Not Use 107 (4 marks) 6. Solve algebraically: 1 5 2 3 x x Express your answer correct to 3 decimal places.
Pre-Calculus Mathematics: Booklet 1 (January 2010) 9 Do Not Use 108 (2 marks) 7. If log 2 0.430 68 and log 6 1.113 28 a a , a) find the value of log 72 a correct to 3 decimal places. 109 (2 marks) b) find the value of “ a ” correct to the nearest whole number.

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10 Pre-Calculus Mathematics: Booklet 1 (January 2010) Do Not Use 110 (4 marks) 8. Solve the following equation: 2 2sec 5sec 3 0 Give the general solution in radian measure correct to 3 decimal places.
Pre-Calculus Mathematics: Booklet 1 (January 2010) 11 Do Not Use 111 (3 marks) 9. The 7th term in the binomial expansion of 3 1 2 n x x is 9 2 562 560 x . Determine the value of n algebraically.

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12 Pre-Calculus Mathematics: Booklet 1 (January 2010) Do Not Use 112 (4 marks) 10. The first three terms of a geometric sequence are 50 6, 5 , 3 x . Find all possible values of the second term .
Pre-Calculus Mathematics: Booklet 1 (January 2010) 13 No marks will be awarded for work done on this page.

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14 Pre-Calculus Mathematics: Booklet 1 (January 2010) No marks will be awarded for work done on this page.
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• Spring '12
• A.Young
• Decimal, Educational years, Tenth grade, Manitoba Education, pre-calculus mathematics

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