Give the starting value a, the growth rate r, and the continuous growth rate k.

Round the answer for r to two decimal places

Q = 0.414(e^0.885)^t

a = ?
r = ?%
k = ?%

I found a to be 0.414 but when finding the percentage for r and k I got stuck.

1 answer

when t=0, Q=0.414 = a

e^.885 = 2.423, so Q = .414(2.423^t)
population grows by a factor of 2.423 every period.

well, duh: k = 0.885 = 88.5%, though it's not usually expressed as a percent.

Actually, that's k if you express Q as a e^kt
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