MHB In which year does the population reach 2000 people?

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To determine when the population of a small town reaches 2000 people, the growth function P(n) = 1250(1.03)^n is used, where n represents the number of years since 1996. By setting P(n) equal to 2000 and solving for n, the equation becomes 2000 = 1250(1.03)^n. This leads to the calculation of n, which is approximately 5.64, indicating that the population will reach 2000 people in the year 2002. The discussion emphasizes the importance of correctly applying exponential growth functions to solve population-related problems.
eleventhxhour
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So, this looks really simple, but I keep getting a different answer from the textbook. Could someone help? Thanks

3d) The growth in population of a small town since 1996 is given by the function $$P(n) = 1250(1.03)^n$$

In which year does the population reach 2000 people?
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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