# SOLUTION: The atmospheric pressure P in pounds per square inch (psi) is given by the formula below, where a is the altitude above sea level (in miles). If a city has an atmospheric pressure

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

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 Question 470925: The atmospheric pressure P in pounds per square inch (psi) is given by the formula below, where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 13.25 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.) P = 14.7 e^(-0.21 a) Answer by ankor@dixie-net.com(15622)   (Show Source): You can put this solution on YOUR website!The atmospheric pressure P in pounds per square inch (psi) is given by the formula below, where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 13.25 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.) : Replace p with 13.25, find a Divide both sides by 14.7 Find the nat log of both sides, ln of e is 1, so we have -.21a*1 = ln(.90136) -.21a = -.10385 a = a = .4945 miles, which is: .4945*5280 = 2611 ft altitude ; : Check your solution on a calc, enter 14.7*e^(-21*.4945) results: 13.250 psi; confirms our solution of a=2611 ft