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?

time period is 260.57 years

Step-by-step 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 ×    ..............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 ×

take ln both side

ln 7042.25 = ln

8.8596 = 0.034 t

t = 260.57

so time period is 260.57 years

is there a picture

step-by-step explanation: