# The population of a cit grows at a rate of 5% each year. The population in 1990 was 400,000. What would be the predicted current population? In what year would we predict the population to reach 1,000,000?

##### 1 Answer

Apr 29, 2016

11 October 2008.

#### Explanation:

Rate of growth for n years is

The starting value of

So we have

So we need to determine

Divide both sides by

Taking logs

So the year will be

The population reaches 1 million by 11 October 2008.