The population of California was 29.76 million in 1990 and 33.87 million in 2000

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FBFHER

Mathematics

Description

The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the population grows exponentially.

(a) Find a function that models the population (in millions) t years after 1990. (Round your r value to six decimal places.)
n(t) =

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Explanation & Answer

33.87/29.76 = E^10a where a is the factor we have to find, and 10 is the number of years 

1.1381= e^10a 
10th root of 1.1381 = e^a 
1.01302 = e^a 
ln1.01302 = a 
a = 0.01294



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