The city of Toronto’s population rose from 2,000,000 to 4,500,000 in the last twenty years of the twentieth
century. What was the annual average percentage increase in population for that period?
4.5 = 2(1+r)^20
r = .0414 = 4.14%
Which formulae is used????
To find the annual average percentage increase in population for that period, we need to calculate the average yearly growth rate. This can be done by using the formula:
Average Annual Growth Rate = (Ending Population / Starting Population)^(1 / Number of Years) - 1
In this case, the starting population is 2,000,000, the ending population is 4,500,000, and the number of years is 20.
Let's calculate it step by step:
1. Divide the ending population by the starting population: 4,500,000 / 2,000,000 = 2.25
2. Take the 20th root of the result from step 1. In this case, it means raising 2.25 to the power of (1/20). You can use a calculator to find the 20th root of 2.25.
3. Subtract 1 from the result: [result from step 2] - 1
This final result will give us the average yearly growth rate as a decimal. To convert it into a percentage, multiply by 100.
For example, if the result is 0.05, then the average annual growth rate would be 0.05 * 100 = 5%.
To get the answer to this specific question, you will need to perform the calculations using the given numbers.