Posted by Patty on Monday, April 9, 2012 at 6:55pm.
p = ae^kt
500 = 200e^100k
2.5 = e^100k
ln 2.5 = 100k
k = ln2.5/100
p = 200e^(ln2.5/100 t)
= 200*2.5^t/100
to double,
2 = 2.5^t/100
ln 2 = (t/100)ln2.5
t = 100 * ln2/ln2.5 = 75.65 minutes
Related Questions
calculus - A colony of bacteria is growing exponentially, increasing in size ...
Math- Alg 2 - A colony of bacteria is growing exponentially according to the ...
math - Bacteria are growing in a circular colony one bacterium thick. the ...
SCIENCE - A colony of bacteria is made up of (5) cells. Asuuming that no cells ...
Calculus - A colony of bacteria is grown under ideal conditions in a laboratory ...
math modeling - At 3a.m., there is a colony of 736 bacteria, and it is growing ...
Pre-Calc (exponential growth) - A COLONY OF BACTERIA IS GROWN UNDER IDEAL ...
Calculus - A bacteria culture contains 200 cells initially and grows at a rate ...
math - A culture of bacteria grows exponentially. It doubles in size every 16 ...
algebra 2 - A colony of germs grows exponentially. It starts at 500 germs. After...
For Further Reading