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18 November, 17:37

A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. Solve for the number of bacteria that are grown during the 12th hour.

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  1. 18 November, 17:49
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    The number of bacteria is given by:

    N (t) = N (o) x 2ⁿ

    Where N (t) is the number after n hours have passed and N (o) is the original number which is 15.

    The number grown in the 12th hour is the difference in the number after the 11th and the 12th hour. Thus:

    15 x 2¹² - 15 x 2¹¹

    = 30,720 bacteria
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