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September 30, 2014

September 30, 2014

Posted by **help please.** on Saturday, April 21, 2012 at 6:10am.

How long will it take for the population to triple?

Round the answer to the nearest hundredth, if necessary.

- calculus -
**Reiny**, Saturday, April 21, 2012 at 8:07amthis fits the standard

A = a e^(kt), where a is the initial amount, A is the new amount, k is a constant and t is the time in suitable units.

in our case if a=1 , A = 2, t = 1

2 = 1 e^k

ln 2 = ln e^k

k = ln2

A = e^ (ln2 t)

when A = 3

3 = e^ ln2 t

ln2 t = ln3

t = ln3/ln2 = 1.58 days

or , since we have a case of "doubling"

N = 1 (2)^t

3 = 2^t

ln3 = ln 2^t

ln3 = t ln2

t = ln3/ln2 , as above

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