Populations P (in thousands) of the certain city from 2000 through 2007 can be modeled by P = 346.6ekt, where t signifies year, with t = 0 corresponding to 2000. In 2006, population of city was about 396,000.
(a) Determine the value of k.
(b) Utilize model to determine populations of the city in 2010 and 2015.
(c) According to model, during what year will population reach 550,000?