The resident population of the United States in 2008 was 304 million people and was growing at a rate of 0.9% per year. Assuming that this growth rate continues, the model P(t) = 304(1.009)^t-2008represents the population P (in millions of people) in year t.

(a) According to this model, when will the population of the United States be 354 million people?

(b) According to this model, when will the population of the United States be 416 million people?