To determine the population of the town 145 years from now, given that it currently has a population of 6,595 and that the population doubles every 29 years, we can follow these steps:
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Calculate how many 29-year periods are in 145 years: \[ \text{Number of periods} = \frac{145 \text{ years}}{29 \text{ years/period}} = 5 \text{ periods} \]
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Determine the population after each doubling period: Since the population doubles every 29 years, after \( n \) periods, the population can be calculated using the formula: \[ \text{Future Population} = \text{Current Population} \times 2^n \] where \( n \) is the number of doubling periods.
In this case, the current population is 6,595 and \( n = 5 \): \[ \text{Future Population} = 6,595 \times 2^5 \] \[ 2^5 = 32 \] \[ \text{Future Population} = 6,595 \times 32 \]
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Calculate the future population: \[ 6,595 \times 32 = 211,040 \]
Thus, the population 145 years from now will be 211,040.