SOLUTION: A COUNTRY has a growth of 3.3% per year. The population is currently 4,900,000 and the land area of a country A is 19,000,000,000 square yards. Assuming this growth rate continues

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: A COUNTRY has a growth of 3.3% per year. The population is currently 4,900,000 and the land area of a country A is 19,000,000,000 square yards. Assuming this growth rate continues       Log On


   

Question 1139641: A COUNTRY has a growth of 3.3% per year. The population is currently 4,900,000 and the land area of a country A is 19,000,000,000 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 by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in yrs
In billions of people:
+19+=+.0049%2A%28+1+%2B+.033+%29%5Et+
+3877.55102+=+1.033%5Et+
Take the log of both sides
+3.588557521+=+t%2A.014100322+
+t+=+254.5+
254.5 yrs