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Logarithm

The half-life of the adioactive element Krypton-91 is 10 seconds. If 16 grams of Krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds?

Use the exponential growth model A = A0e^(kt) to show that the time it takes a population to double (to grow fom A0 to 2A0) is given by t = (ln 2)/k

The growth model A = 4.1e^(0.01t) descibes New Zealand's population A, in millions, t years after 2006.
a) What is New Zealand's growth rate?
b) How long will it take New Zealand to double its population?

[Please refer to the attachment fo the rest of the problems]

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This solution is comprised of detailed step-by-step calculations and analysis of the given problems related to Logarithm and provides students with a clear perspective of the underlying concepts.

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