1.
Find the
following for a savings account in which interest is compounded continuously.
Initial Investment
Annual Rate
Time to Double
Amt. after 10 years
a.
$18,000
5.5
%
_____________
______________
b.
$12,500
_____________
20 years
______________
c.
$500
__________
___
_____________
$1,292.85
2.
The number of bacteria in a culture is increasing according to the law of exponential
growth. There are 125 bacteria in the culture after 2 hours and 350 bacteria after 4 hours.
a.
Find the initial population.
b.
Write an exponential
growth model for the bacteria population. Let
푡
represent time in
hours.
c.
Use the model to determine the number of bacteria after 8 hours.
d.
After how many hours will the bacteria count be 25,00
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