# 2. For a period of time, an island's population grows at a rate proportional to its population. If the growth rate is 6.5% per year and the current population is 1174, what will the population be 10.2 years from now?

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2. For a period of time, an island's population grows at a rate proportional to its population. If the growth rate is 6.5% per year and the current population is 1174, what will the population be 10.2 years from now?

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Step 1

Let A0 be the initial population and k be the growth rate.

A0 = 1174

k = 6.5%  = 0.065

Step 2

The population of the island at any time t can be expressed as,

Step 3

Then to find the population after 10.2 yea...

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