Thank you for visiting Suppose California s population is 36 6 million people and its population is expected to grow by 4 annually How long will it take for. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To calculate how long it will take for the population to double, we can use the formula for exponential growth. In this case, it will take about 18 years for California's population to double.
Explanation:
To calculate how long it will take for the population to double, we can use the formula for exponential growth: P(t) = P(0) * (1 + r)^t, where P(t) is the population at time t, P(0) is the initial population, r is the growth rate, and t is the time in years. In this case, the initial population is 36.6 million and the growth rate is 4%. We want to find the value of t when P(t) is double the initial population. Let's substitute the values into the formula and solve for t:
2 * 36.6 million = 36.6 million * (1 + 0.04)^t
Divide both sides by 36.6 million:
2 = (1.04)^t
Take the logarithm of both sides:
log(2) = t * log(1.04)
Divide both sides by log(1.04):
t = log(2) / log(1.04)
Using a calculator, we can find that t is approximately 17.67 years. Rounding to the nearest whole number, it will take about 18 years for the population to double.
Learn more about Exponential Growth
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