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The population of a particular city is given by the function P(t) = 113,200(1.04)^t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) after 10 years?

Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)^t

A. 113,200, 4% semiannually, 168,209 

B. 113,200, 40% semiannually, 679,200 

C. 113,200, 10.4% annually, 304,465 

D. 113,200, 4% annually, 167,564

 Feb 22, 2016

Best Answer 

 #1
avatar+2592 
+10

113200(1.04)^10 = 167563.6

D is the anwser

 Feb 22, 2016
 #1
avatar+2592 
+10
Best Answer

113200(1.04)^10 = 167563.6

D is the anwser

SpawnofAngel Feb 22, 2016
 #2
avatar
+10

D- 113,200(1.04)^10=113,200 X 1.480244=167,564 (rounded). This is the correct answer.

4% is the percentage growth rate(annual).

 Feb 22, 2016

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