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If a population's growth rate is 1.5%, how many years will it take the population to reach twice its size? Question 15 options: 70 100 10 46.7 1.4

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Final answer:

Using the formula for exponential growth and substituting the given values into it, we can calculate that it would take approximately 46.7 years for a population to double if its growth rate is 1.5%.

Step-by-step explanation:

In this question we are dealing with the concept of exponential growth. Exponential growth can be calculated using the formula: P = P0e^rt where P is the final population, P0 is the initial population, r is the growth rate, and t is the time. To solve this problem, we need to find out the number of years it takes for the population to double. This means that P = 2P0. Let's substitute P0 and P into the formula, which gives us: 2 = e^(1.5/100)t. Solving this equation gives us approximately 46.7 years.

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