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Presleyram

  • 3 years ago

The bird population on an island is declining at a rate of 2.2% per year. If the population was 3500 in the year 2009, which is the best prediction of the population in the year 2014

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  1. kelliegirl33
    • 3 years ago
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    3500 in 2009 3500 (.022) = 77 3500 - 77 = 3423 3423 in 2010 3423 (.022) = 75.31 3423 - 75.31 = 3347.69 3347.69 in 2011 3347.69 (.022) = 73.65 3347.69 - 73.65 = 3274.04 3274.04 in 2012 3274.04 (.022) = 72.03 3274.04 - 72.03 = 3202.01 3202.01 in 2013 3202.01 (.022) = 70.44 3202.01 - 70.44 = 3131.57 3131.57 in 2014 ANSWER : 3131.57 I know there is probably an easier way to do this, I just don't know it. All I did was take off 2.2% (.022) from the new total each year.

  2. slaaibak
    • 2 years ago
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    Or you can use: \[P(2014) = 3500 \times (1 - 0.022)^{2014-2009} = 3131.571401\]

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