SOLUTION: The size P of a certain insect population at time t​ (in days) obeys the function P(t)=700e^0.05t ​(a) Determine the number of insects at t=0 days. ​(b) Wha

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The size P of a certain insect population at time t​ (in days) obeys the function P(t)=700e^0.05t ​(a) Determine the number of insects at t=0 days. ​(b) Wha      Log On


   

Question 1088203: The size P of a certain insect population at time t​ (in days) obeys the function P(t)=700e^0.05t
​(a) Determine the number of insects at t=0 days.
​(b) What is the growth rate of the insect​ population?
​(c) What is the population after 10​ days?
​(d) When will the insect population reach 1050?
​(e) When will the insect population​ double?
I know the answer of insects is 700 and the growth rate is 5% but i dont know the naswers from c to e can someone please help?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
c) P%28t%29=700e%5E%280.05%2810%29%29=700e%5E5
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d) P%28t%29=700e%5E%280.05t%29=1050
e%5E%280.05t%29=1050%2F700
0.05t=ln%28105%2F70%29
t=20%2Aln%28105%2F70%29
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.
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e) 1400=700e%5E%280.05t%29
e%5E%280.05t%29=2
0.05t=ln%282%29
t=20ln%282%29