# calculus

posted by .

India's population has been catching up with China, with 1132 million in mid-2007 and growing at 1.6% per year, versus China then with 1318 million and growing at only 0.6%. If these rates continue, when will India have more people than China?

• calculus -

They will be the same when the number of years x (measured from mid-2007) satisfies the following equation:
1.132*(1.016)^x = 1.318*1.006)^x
1.1643 = (1.016/1.006)^x = 1.0099^x

Use logs to solve. I get 15.5 years, making it late 2022 or early 2023.

## Similar Questions

1. ### research paper

My class is writing a paper on China and India and I cant seem to find these topics. although a communist country, how has china opened its boarders to international commerce?

3. ### algebra

(1) If the population of a city was 2 million in 1995 and growing at a rate of 6.4%, what will the population be in the year 2000?
4. ### Math AP Calc

In 1951, the population of India was 357 million people. By 1981 it had grown to 984 million. If the population is growing exponentially, when (in what month of what year) will the population reach 1 billion people?
5. ### Math

I have no idea how to even start this problem. In 1951, the population of India was 357 million people. By 1981 it had grown to 984 million. If the population is growing exponentially, when (in what month of what year) will the population …
6. ### Math

In 1951, the population of India was 357 million people. By 1981 it had grown to 984 million. If the population is growing exponentially, when (in what month of what year) will the population reach 1 billion people?
7. ### Math-Reiny Help! Previous Problem

In 1951, the population of India was 357 million people. By 1981 it had grown to 984 million. If the population is growing exponentially, when (in what month of what year) will the population reach 1 billion people?
8. ### calculus

India's population has been catching up with China, with 1132 million in mid-2007 and growing at 1.6% per year, versus China then with 1318 million and growing at only 06%. If these rates continue, when will India have more people …
9. ### Math- practical purpose

For many years, China has been the world's most populous country. However, India has been catching up, with 1132 million in mid-2007 and growing at 1.6% per year, versus China then with 1318 million and growing at only 0.6% per year. …
10. ### World History

The correct chronological flow of Buddhism would be A) Japan to Korea to China B) India to Southeast Asia to China to Japan C) India to China to Korea D) Southeast Asia to China to India I think the correct answer is C, but I'm not …

More Similar Questions

Post a New Question