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

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

Secure Information

Content will be erased after question is completed.

Enter the email address associated with your account, and we will email you a link to reset your password.

Forgot your password?

Sign Up