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March 29, 2024, 10:37:55 am

Author Topic: Half life of exponential........................thanks  (Read 884 times)  Share 

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starbuckscoffee

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Half life of exponential........................thanks
« on: August 27, 2009, 11:31:34 pm »
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The populations of Cook Islands and Niue in the South Pacific has been decreasing at an average rate of 2½% per year over the last 5 years. If the combined population was 23400 in 2007

Define all terms clearly.
a) General formula for Half-Life, knowing the rate of change:

For the given rate of change of 2½%: Exact half life =.............. years

b) Devise the general formula for the RATE OF GROWTH/DECAY of any exponentially growing or decaying quantity, given the half-life. State the formula specific to the population of Cook Islands and Niue. Define all terms clearly.

General formula for rate of change, knowing the half-life:
From the observed half-life, the rate of change in the population =