GreenT_M4_A1.Discussion_Poulation Growth (Autosaved)

GreenT_M4_A1.Discussion_Poulation Growth (Autosaved) -...

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Module 4 Assignment 1: Discussion—Population Growth Look up the population of the state in which you live. If possible, find the annual percentage growth rate of your home city (use 0.9% if you can not locate this value). State of Tennessee population as of 2010: 6,346,105 with projected annual growth of 4.0%. (U.S. Department of Commerce, n.d.) Determine the population of your state 10 years from now. Formula: P (1 + r ) n P (1 + r ) n = 6,346,105 (1 + 0.04) 10 = 6,346,105 (1.04) 10 = 6,346,105 (1.480) = 9,392,235 Since the census is based on 2010, by 2020 the population is predicted to be 9,392,235. Determine how long and in what year the population in your state may double assuming a steady annual growth rate. Formula: DP = P (1 + r ) n DP = P (1 + r ) n = 12,692,210 = 6,346,105 (1 + 0.04) n 2 = (1.04) n log 2 = log (1.04) n log 2 = n log (1.04) n = log 2/log (1.04) = 17.7 Therefore, in 17.7 years the population will double assuming the annual growth rate of 4%. If we round 17.7 to a whole number of 18 the population will double in the year 2028 and this is adding the 18 years on from the census 2010 population. Look up the population of the city in which you live. If possible, find the annual percentage growth rate of your home city.
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