Population growth the population of knoxville is 500,000 and is increasing at the rate of 3.75% each year. approximately when will the population reach 1 million?

Current population = 500,000

Populaton is

500,000 * (1.0375) after 1 year

500,000 * (1.0375) ² after 2 years

...

500,000 * (1.0375) ˣ after x years

Therefore when the population reaches a million,

500,000 * (1.0375) ˣ = 1,000,000

1.0375ˣ = 2

x ln (1.0375) = ln (2)

x = ln (2) / ln (1.0375) = 18.83 years

Answer: 18.8 years, or approximately 19 years.