We appreciate your visit to 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 offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
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
Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
