SOLUTION: A pharmaceutical company makes a vaccine-producing bacterium that grows at a rate of 1.6% per hour. How many units of this organism must the company have initially to have 1000 uni

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Question 1071458: A pharmaceutical company makes a vaccine-producing bacterium that grows at a rate of 1.6% per hour. How many units of this organism must the company have initially to have 1000 units after 5 days?
Round to the nearest unit.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
1 unit makes 1.016 units after 1%2F24 days.

1.016=1%2Ae%5E%28k%281%2F24%29%29
ln%281.016%29=ln%28e%5E%28k%2F24%29%29
ln%281.016%29=k%2F24
k=24%2Aln%281.016%29
k=0.3810

Growth Model, highlight%28y=p%2Ae%5E%280.3810%2At%29%29 for time t in days, p initial units

Let y=1000 and t=5;
solve for p.