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Pre-Calculus Practice Problem 90

Pre-Calculus Practice Problem 90 - In each case find the...

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Unit 3, Activity 2, Continuous Growth and the Number e Blackline Masters, Advanced Math-Pre-Calculus Page 88 Comprehensive Curriculum, Revised 2008 1. In each of the following equations tell whether or not there is growth or decay and give the continuous rate of growth or decay. a) A = 1000 e 0.08t b) A e t = 200 2 . c) t oo o e A 4 . 4 . 2 = 2. Write the following exponential functions in the form P = a t . a) P = e.25t b) P = e-.4t 3. The population of a city is 50,000 and it is growing at the rate of 3.5% per year. Find a formula for the population of the city t years from now if the rate of 3.5% is: a) an annual rate and b) a continuous annual rate.
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Unformatted text preview: In each case find the population at the end of 10 years. 4. Air pressure, P , decreases exponentially with the height above the surface of the earth, h: h o e P P 00012 . − = where P o is the air pressure at sea level and h is in meters. a) Crested Butte ski area in Colorado is 2774 meters (about 9100 feet) high. What is the air pressure there as a percent of the air pressure at sea level? b) The maximum cruising altitude of commercial airplanes is 12,000 meters (around 29,000 feet). At that height what is the air pressure as a percent of the air pressure at sea level?...
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