The population of Algebraville is 500,000 and growing at 6.25%. How many people will live in Algebraville in 10 years? 20?

This would be exponential growth

A = 500,000 (1+.0625) ^10

=500,000 (1.0625) ^10

=500,000 * 1.83353577126

the population after 10 years = 916,767

A=500,000 (1+.0625) ^20

=500,000 (1.0625) ^20

=500,000 * 3.36185342451

the population after 20 years would be = 1,680,926