Question

Country A has a growth rate of 3.4​% per year. The population is currently 4,118​,000, and the land area of Country A is 29​,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?

Answer 1

time period is 260.57 years

Explanation:

given data

growth rate = 3.4 % = 0.034

population = 4118000

area P = 29000000000 square yard

to find out

time period that one person for every square yard of​ land need

solution

we will apply here population growth formula that is

total population P = initial population ×
`e^(rt)` ..............1

here r is rate of growth and t is time period and

we consider here initial population is current population

so put value in equation 1 to get t

29000000000 = 4118000 ×
`e^(0.034t)`

take ln both side

ln 7042.25 = ln
`e^(0.034t)`

8.8596 = 0.034 t

t = 260.57

so time period is 260.57 years