Answer:
t = 248.18 years
Explanation:
Continuous exponential growth is described with:
P(t) = P0e^(rt), where
P0 = 5,549,000 is the initial population size.
r = 0.033 is the annual interest rate in decimal form
t = is the time in years (we need to find)
P(t) = 20,000,000,000 is the population size after t years (1 person for every square yard of land mean there will be 20,000,000,000 people)
P0e^(rt) = P(t)
5,549,000e^(0.033t) = 20,000,000,000
e^(0.033t) = 20,000,000,000/5,549,000
t = (1/0.033) ln(20,000,000,000/5,549,000)
t = 248.18 years