The census bureau for a large country has reported that the country is becoming

Question

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)- 37.96(103) where t-0 corresponds to 2000 and Osts 50. Complete parts a and b below. a. Estimate in what year the minority's population will double the 2005 population of 44.01 million. Use the algebra of logarithms to solve this problem The minority's population will double the 2005 population in Round down to the nearest whole number)

Explanation / Answer

a)

2(44.01) = 37.96 (1.03)^t

88.02 =37.96 (1.03)^t

88.02 /37.96 = (1.03)^t

t= ln(88.02 /37.96)/ln(1.03)

t=28.4528

t= 28

Thus, in year 2000+28 = 2028

Answer will be 2028

b)

Question is incomplete, as eqaution will change here.

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