Problema Solution
Country A has an exponential growth rate of 4.1% per year. The population is currently 4,584,000, and the land area of Country A is 17,000,000,000 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 provided by our tutors
Let
P = 4,584,000 current population
A = 17,000,000,000 future population
r = 0.041 or 4.1% annual rate
t = the number of years
A = P(1 + r)^t
Plug in the values and solve for "t":
17,000,000,000 = 4,584,000 (1 + 0.41)^t
1.41^t = 17,000,000,000/4,584,000
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t = 23.92 years
t = 24 years approximately
In 24 years approximately there will be 17,000,000,000 people (1 person per sqaure yard of land).