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

Violet

17 August, 18:52

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

+5

Answers (1)

Know the Answer?

Leroy Hickman · 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