With a growth rate parameter of 3.9% per hour. how many hours does it take for the size of the sample to double?

Question

Mathematics

Destiny Cooley

24 December, 18:08

With a growth rate parameter of 3.9% per hour. how many hours does it take for the size of the sample to double?

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Carlo Mcdonald · Answer 1

Assume the sample size is one to begin with and after double is two.

2 = 1 * (1.039) ^t

2 = (1.039) ^t

log (2) = log (1.039^t)

log (2) = t*log (1.039)

log (2) / log (1.039) = t

18.12 hours = t