<PRE><B>Question 1082600</B>
The exponential growth/decay model is
:
A = A(o) * e^kt, where A(o) is the amount we start with, k is the constant of growth or decay, t is time 
:
A) 50000 = 35000 * e^10k
:
e^10k = 50000 / 35000 = 1.4286
:
10k = ln 1.4286 = 0.3567
:
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k = 0.3567 / 10 = 0.03567
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:
B)  100000 = 35000 * e^(0.03567t)
:
e^(0.03567t) = 100000 / 35000 = 2.8571
:
0.03567t = ln 2.8571 = 1.0498
:
t = 1.0498 / 0.03567 = 29.4309 approx 29
:
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the population will be 100000 in year 2029
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