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Unformatted text preview: Despite being very diligent about their chores, the children manage to toss out only 60% of the resident gnomes. However, during the week, 15% of these wily critters manage to return. In addition, 12 of the neighbor’s gnomes also decide to move to the Weasley garden. There were 120 gnomes in the garden on Saturday, June 3 rd of this year before the children began their chores. (a) (25 points) Develop a discrete model that represents the number of gnomes in the garden each Saturday morning. i) (5 points) Define the variables. ii) (5 points) State the domain. iii) (5 points) List assumptions (give at least two). iv) (5 Points) Write down the initial condition. v) (5 points) Write down the recursion equation. (b) (10 points) How many gnomes are in the garden on Saturday, June 31st? 35...
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 Fall '07
 Boucher
 Math, Algebra, Recurrence relation, Fibonacci number, recursion relation, Weasley garden

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