Algebra II
posted by Joy .
The barometric pressure in inches of mercury at a height of h feet above sea level is
p=30.0e^kh
where k=3.83*10^5. At what height will the pressure be 10.0 in. of mercury.

I assume h is the height, so
30 e^(kh) = 10
e^(kh) = 1/3
 kh = ln (1/3)
kh = 1.098612...
h = 1.098612/k = 28684.4
check:
30 ( e^(.0000383(28684.4))
= 30(.3333333) = 9.9999997 , not bad
Respond to this Question
Similar Questions

Chemistry
How do I solve this? The usual partial pressure of oxygen that people get at sea level is .20 atm, that is, a fifth of the usual sea level air pressure. People used to 1 atm air pressure begin to become light headed at about .10 atm 
Chemistry
How do I solve this? The usual partial pressure of oxygen that people get at sea level is .20 atm, that is, a fifth of the usual sea level air pressure. People used to 1 atm air pressure begin to become light headed at about .10 atm 
math
The average air pressure at sealevel will support the column of mercury in a mercury barometer to a height of 760 mm (29.92 in.). If water were used in place of mercury in the barometer, what would be the height of the water column … 
Chemistry
8. The usual partial pressure of oxygen that people get at sea level is 0.20 Atm., that is, a fifth of the usual sea level air pressure. People used to 1 Atm. air pressure begin to become "lightheaded" at about 0.10 Atm oxygen. As … 
Calculus
Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by, P =30e^(3.23x105h) a)Find th equation of the tangent line at h=0. b)A rule of thumb is given … 
Calc
Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by, P =30e^(3.23x105h) a)Find th equation of the tangent line at h=0. b)A rule of thumb is given … 
math
Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by, P =30e^(3.23x105h) a)Find th equation of the tangent line at h=0. b)A rule of thumb is given … 
MATH
Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by, P =30e^(3.23x105h) a)Find th equation of the tangent line at h=0. b)A rule of thumb is given … 
chemsitry
A graduated tube, sealed at the upper end has a mercury leveling bulb connected to the lower end. the gas volume is 25.ml, when the mercury level is the same in both ends. the barometric pressure is 732 mm Hg. What is the gas volume … 
Physics (pressure)
A barometer has air trapped above the mercury in an inverted tube with the opening in a reservoir of mercury. When the length l of air trapped is 10.0cm, the mercury height h is 72.0. When the tube is slightly lowered into the reservoir, …