Country A has an exponential growth rate of 3.6% per year. The population is currently 4,265,000, and the land area of Country A is 22,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land? This will happen in blank years.
(round to the nearest integer)

t = 248.18 years

Step-by-step 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