SOLUTION: The atmospheric pressure P in pounds per square inch (psi) is given by P = 14.7 e−0.21 awhere a is the altitude above sea level (in miles). If a city has an atmospheric pre

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The atmospheric pressure P in pounds per square inch (psi) is given by P = 14.7 e−0.21 awhere a is the altitude above sea level (in miles). If a city has an atmospheric pre      Log On


   

Question 772524: The atmospheric pressure P in pounds per square inch (psi) is given by
P = 14.7 e−0.21 awhere a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 12.25 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


, so for ,



Take the natural log of both sides:



Then use and







Do the arithmetic and round off.

John

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