SOLUTION: 1) In a research experiment, a population of fruit flies is increasing according to the law of exponential growth. The experiment starts with 100 flies, and after 2 days there are

Algebra ->  Finance -> SOLUTION: 1) In a research experiment, a population of fruit flies is increasing according to the law of exponential growth. The experiment starts with 100 flies, and after 2 days there are      Log On


   

Question 1140157: 1) In a research experiment, a population of fruit flies is increasing according to the law of exponential growth. The experiment starts with 100 flies, and after 2 days there are 300 flies. How many flies will there be after 10 days and how long did it take for the fly population to double?


2) Aeris invests $100 compounded continuously. After 2 years, her account balance is $300. How long will it take for her account balance to be $24,300 and how long did it take for you account balance to double?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=ab%5Ex

300=100b%5E2
b%5E2=3
b=sqrt%283%29

highlight%28y=100%28sqrt%283%29%29%5Ex%29


Population size after 10 days:
%28sqrt%283%29%29%5E10
%28%28sqrt%283%29%29%5E2%29%5E5
3%5E5
27%2A9
highlight%28243%29


How much is the doubling time?
2=1%2A%28sqrt%283%29%29%5Ex
and you can finish this. Find this x.