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A population grows exponentially at the rate of 1.15%. How long (in years) will it take the population to double? (Round your answer to one decimal place.) yr

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User Jhrf
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1 Answer

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Final answer:

To calculate the time it takes for a population growing at a rate of 1.15% to double, we use the rule of 70. With this rule, it's found that it will take roughly 60.9 years for the population to double.

Step-by-step explanation:

This question relates to exponential growth, often covered in mathematics. The rate of exponential growth is at 1.15%, and you're interested in finding out how long it will take for the population to double. We can use the rule of 70 to calculate this. The rule of 70 is a simple way to estimate the time it will take for a quantity to double when it's growing exponentially.

It's stated as: Time to double = 70 / growth rate.

Substitute the given growth rate into the formula — Time to double = 70 / 1.15 ≈ 60.9 years.

So, when rounded to one decimal place, it will take approximately 60.9 years for the population to double at a growth rate of 1.15%.

Learn more about Exponential Growth

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User Jstanley
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