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Suppose That N(t)= 100,000,000 · 2t/102^{t / 10} Gives the Population of a Certain Country T Years After

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Suppose that N(t)= 100,000,000 · 2t/102^{t / 10}
gives the population of a certain country t years after a census was taken.A historian has a collection of documents that are not dated, but do refer to the population of this country at several times.In order to help the historian date these documents, find the inverse function for the function N.Round to whole numbers.


Definitions:

James II

King of England and Ireland, and James VII of Scotland, who ruled from 1685 until he was deposed in the Glorious Revolution of 1688.

Inter-Colonial Militia

Armed forces composed of volunteers from different colonies, created for mutual defense and protection during the early colonial period in North America.

King William's War

The North American conflict (1689-1697) between France and England that was part of the larger Nine Years' War.

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A historically powerful northeast Native American confederacy known for its political and organizational skills, as well as its influential role in American and Canadian history.

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