Over-100 population based on data obtained from the census

Question

Question: OVER-100 POPULATION Based on data obtained from the Census Bureau, the number of Americans over age 100 is expected to be

P(t) = 0.07e^0.54t           (0 ≤ t ≤ 4)

where P(t) is measured in millions and t is measured in decades, with t = 0 corresponding to the beginning of 2000.

a. What was the population of Americans over age 100 at the beginning of 2000? What will it be at the beginning of 2030?

b. How fast was the population of Americans over age 100 changing at the beginning of 2000? How fast will it be changing at the beginning of 2030?