According to the U.S. Bureau of the Census, in 2000 there were 35.3 million residents of Hispanic origin living in the United States. By 2010, the number had increased to 50.5 million. The exponential growth function A = 35.3e^kt describes the U.S. Hispanic population, A, in millions, t years
after 2000.

a. Find k, correct to three decimal places.

b. Use the resulting model to project the Hispanic resident population in 2015.

c. In which year will the Hispanic resident population reach 70 million?