Problema Solution

A country has a growth rate of 4.5% per year. The population is currently 5,298,000, and the land area of country A is 39,000,000 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 provided by our tutors

P = 5,298,000 current population


A = 39,000,000 future population


r = 0.045 or 4.5% annual rate


t = the number of years


A = P(1 + r)^t


5298000(1 + 0.045)^t = 39000000


1.045^t = 39000000/5298000

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t = 45.35 years


After 45.35 years there will 39,000,000 or one person for every square yard of land.