If the population of a particular country is growing at 24

If the population of a particular country is growing at 2.4 % compounded continuously, how long will it take the population to double?

Please show work

Solution

applying continuous compounding formula

A = Pe^rt

plugging the values in the formula

2P = P e^ (.024t )

dividing both sides by P

2 = e^ (.024t )

ln 2 = .024 t

t = 28.88

therefore, it takes 28.9 years approximately to double

If the population of a particular country is growing at 2.4 % compounded continuously, how long will it take the population to double? Please show workSolutiona

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