17. The population of Springield was 3500 in 1940. Assuming the population is increasing at a rate of 3.2%, what will the population be in 2005?

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- Jan 15th 2008, 12:54 PMrlarachdecay
17. The population of Springield was 3500 in 1940. Assuming the population is increasing at a rate of 3.2%, what will the population be in 2005?

- Jan 15th 2008, 02:03 PMmr fantastic
Standard formula: $\displaystyle P = P_0 e^kt$

where $\displaystyle k$ is the % population growth rate divided by 100 and $\displaystyle P_0$ is the initial population.

For your question, $\displaystyle P_0 = 3500$ (taking 1940 to be t = 0) and k = 3.2/100 = 0.032. Therefore P = .......

Now sub t = 65 and solve for P.