SOLUTION: The growth model A = 109.3 e^{0.023 t} models South Carolina's population, A, in millions, t years after 2001. What is South Carolina's growth rate? How long will it take S

Question 442557: The growth model A = 109.3 e^{0.023 t} models South Carolina's population, A, in millions, t years after 2001.
What is South Carolina's growth rate?

How long will it take South Carolina to double its population?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The growth model A = 109.3 e^{0.023 t} models South Carolina's population, A, in millions, t years after 2001.
What is South Carolina's growth rate?
e^(0.023) = 1.02327
growth rate = 0.023267 or 2.3267%
------------------------------------------
How long will it take South Carolina to double its population?
---------
Solve: e^(0.023t) = 2
---
Take 0.023t = 0.6931
---
t = 30.14 years
===================
Cheers,
Stan H.
RELATED QUESTIONS
a.a. In 2000, the population of a country was approximately 6.27 million and by 2097it... (answered by josgarithmetic)

The population (in millions) of a certain country follows the exponential growth model... (answered by ikleyn)

Use the formula t=ln2/k that gives the time for a population, with a growth rate k, to... (answered by jim_thompson5910)

A. In 2000, the population of a country was approximately 5.85 million and by 2015 it is... (answered by josgarithmetic)

Modeling Population: The population of the world has grown rapidly during the past... (answered by josgarithmetic)

In 1998, the population of Country C was 38 million, and the expoential growth rate was... (answered by lynnlo)

I am having a hard time answering the following problem. Any assistance would be much... (answered by Mike)

Solve the problem. In 1998, the population of a given country was 37 million, and the... (answered by stanbon)

Directions: The exponential models describe the population of the indicated country, A,... (answered by Theo)