Z00009. The census bureau for a large country has reported that the country is becoming more diverse. The projected population (in millions) of a certain minority is modeled by the exponential function h(t) = 37.84 (1.03)^t where t=0 corresponds to 2000 and 0⩽ t⩽ 50. Complete parts a and b below.

a. Estimate in what year the minority’s population will double the 2005 population of 43.87 million. Use the algebra of logarithms to solve this problem.

b. The projected population (in millions) of another minority is modeled by the exponential function h(t)=11.25(1.025)^t where t=0 corresponds to 2000 and 0⩽ t⩽ 50. Estimate in what year this minority’s population will double the 2005 population of 12.73 million.