A city's population is currently 365,000. If the population doubles every 24 years, what will the population be 96 years from now?

Solutions

Expert Solution

2 = e^24r

ln2 = 24r

r = ln2/24 = about .029

A = 356,000e^.029t

A = 356,000e^.029(96)

A = 356,000e^2.7726

A = 356,000(16)

A= 5,696,000 in 96 years

in 24 years the population = 2(356,000) = 712,000

in another 24 years = 48 years, the population = 2(712,000) = 1,424,000

in another 24 yers = 72 years, the population = 2(1424000) = 2,848,000

in another 24 years = 96 years the population = 2(2848000) = 5,696,000

569600

Nipun Maity answered 2 years ago

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