(b) Find the time required after 1990 for the population to double. (Round your

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

(b) Find the time required after 1990 for the population to double. (Round your answer to one decimal place.) 
 yr 

Apr 15th, 2015

Growth rate is computed as follows:

29.76(1+g)10= 33.87

1+g = (33.87/29.76)0.1

g=  (33.87/29.76)0.1 -1 =0.01302

29.76(1.01302)n = 59.52

(1.01302)n  = 2

n ln (1.01302) = ln(2)

n = ln(2)/ln(1.01302) =53.58294  roughly 53 years and 7 months


Apr 15th, 2015

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