In 2000 the population of a district was 750,000. With a continuously compounding growth rate of approximately 4%, what will the population be in 2025?

2,038,711

Step-by-step explanation:

For a continuously compounding rate r, the growth is modeled by ...

P = P0·e^ (rt)

where P0 is the initial population, r is the annual growth rate (compounded continuously) and t is the number of years.

Putting your values into this formula, you have

P = 750000·e^ (0.04·25) ≈ 2,038,711