The projected population of a certain ethnic group (in millions) can be approximated by p (t) equals=39.63 left parenthesis 1.026 right parenthesis Superscript t39.63 (1.026) t where tequals=0 corresponds to 2000 and 0

Question

Mathematics

Jaylen Higgins

17 January, 08:00

The projected population of a certain ethnic group (in millions) can be approximated by p (t) equals=39.63 left parenthesis 1.026 right parenthesis Superscript t39.63 (1.026) t where tequals=0 corresponds to 2000 and 0

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Answers (1)

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Zayden Galvan · Answer 1

The equation is

p (t) = 39.63 (1.026) ^t

At 2010, t = 10

Solving for p

p (10) = 36.63 (1.026) ^10

p (10) = 47.35 million

The instantaneous rate of change is

dp/dt when t=10 = 1.11 million/year