Math
posted by Evenlyn .
N(t)=2000e^(1.1t)
the continuous growth rate is 110%
effective growth rate?__%
Q(t)=65e^(0.09t)
continuous growth rate is 9%
effective growth rate?__%
G(t)=650e^(0.055t)
continuous growth rate is 5.5%
effective growth rate?__%
round to 2 decimal places when necessary for effective growth rate...
is there a formula for effective growth rate

I will do the last one, you do the other two
G(t)=650e^(0.055t) , tells me the continuous rate is 5.5%
with a different base:
G(t) = 650(1+r)t
pick t = 5, (we can choose anything)
in the first:
g(5) = 650 e^(.055(5))
= 650 e^(.275) = 855.7449
in the 2nd:
855.7449 = 650(1+r)^5
1.316530675 = (1+r)^5
take 5th root of both sides
1.05654 = 1+r
r = .05654 > 5.654%
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