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    BMAT 2007 S1

    BMAT 2007 S1

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    This section is Section 1 of 3.

    Speed as well as accuracy is important in this section. Work quickly, or you might not finish the paper. There are no penalties for incorrect responses, only marks for correct answers, so you should attempt all 35 questions. Each question is worth one mark.

    You must complete the answers within the time limit. Calculators are NOT permitted.

    Good Luck!

    Under ideal conditions, a tree, newly planted from seed, grows 1 m in its first year. In each subsequent year it grows 10 % of the difference between its height at the beginning of the year and its theoretical maximum height.

    1. If a given tree’s theoretical maximum height is 30 m, how big will it be (under ideal conditions), to the nearest 10 cm after 3 years growth?
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    0

    Explanation

    The correct answer is B.

    1+0.10(30-1)+0.10(30-0.10(30-1))

    =1+0.10(29)+0.10(30-0.10(29))

    =1+2.9+0.10(30-2.9)

    =3.9+0.10(27.1)

    =3.9+2.71

    =6.61m

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