The population of squirrels in the Louisiana forest growing monthly at a rate of 5% currently from 100, will be <u>182</u> after a year.
The final value of any quantity growing constantly at a particular rate is given as
,
where V is the final value, V₀ is the initial value, r is the rate of growth per time period, and t is the number of time periods.
The current population of squirrels (V₀) = 100.
The growth rate (r) = 5% per month.
The time period (t) = 1 year = 12 months.
Hence, the final population of squirrels (V), is given as:
,
or,
,
or,
,
or, V = 100*1.822119,
or, V = 182.2119 ≈ 182.
Therefore, the population of squirrels in the Louisiana forest growing monthly at a rate of 5% currently from 100, will be <u>182</u> after a year.
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