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9 February, 14:43

In an experiment to study the growth of bacteria, a medical student measured 5000 bacteria at time 0 and 8000 at time 10 minutes. assuming that the number of bacteria grows exponentially, how many bacteria will be present after 30 minutes?

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  1. 9 February, 16:54
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    Usig the formula; Nt = N0 * (1 + r) ^t

    where:

    Nt: The amount at time t

    N0: The amount at time 0

    r: Growth rate

    t: Time passed

    First we calculate r (the exponential growth rate); 8000 = 5000 * (1+r) ^10

    r = 0.048

    Therefore in 30 minutes;

    Nt = 5000 * (1+0.048) ^30

    Nt = 20500
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