A colony of 200 bacteria grows at a continuous hourly rate of 1.3%.
a. Find a function giving the population as a function of t in hours.
b. Flow long will it take for the population to double?
c. When will there be 1000 bacteria? Give both the exact value and its four-decimal-place approximation.
d. How many bacteria will there be in 1 day? Give the value to the nearest whole number.
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