SOLUTION: The population of Canada is 30 million people and is growing at an annual rate of 1.4%. The population of Germany is 80 million people and is decreasing at an annual rate of 1.7%.

Algebra.Com
Question 23218: The population of Canada is 30 million people and is growing at an annual rate of 1.4%.
The population of Germany is 80 million people and is decreasing at an annual rate of 1.7%.
In how many years will the population of Canada be equal to the population of Germany?
(Use logarithms to solve the resulting equation and answer accurate to 2 decimal places.)

Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
WHAT A NEAT PROBLEM!! NICE!!

For Canada in millions
For Germany in millions

When will populations be equal?


Divide both sides by :



When you divide with the same base number, you subtract exponents:


Multiply both sides by

Take the ln of each side:



calculator accuracy
Rounds off to 31.64 years.

R^2 at SCC



RELATED QUESTIONS

The population of Canada is 30 million people and is growing at an annual rate of 1.4%.... (answered by ikleyn)
This is my problem, and it's a team project, the other thing is this is all unfamilier to (answered by CubeyThePenguin)
4. In 2012, the population of Uganda was 36.35 million people and it is growing at a rate (answered by stanbon)
4. In 2012, the population of Uganda was 36.35 million people and it is growing at a rate (answered by stanbon)
According to the U.S. Census Bureau the population of the United States has been growing... (answered by stanbon)
The population of a small town of 10,000 people is growing at the rate of about 5.2% per... (answered by hellyeah,Nate)
In 2006 population of us was 300.2 million. If the population continues to grow at an... (answered by jim_thompson5910)
A city is growing exponentially at a rate of 1.5% annually. Its population is currently... (answered by stanbon)
Canada has a population of 33 million while Russia has 144 million inhabitants.... (answered by stanbon)