The count in a bacteria culture was 400 after 15 minutes and 1200 after 35 minutes. Assuming the count grows exponentially, What was the initial size of the culture?    Find the doubling period.    Find the population after 80 minutes.    When will the population reach 10000.    You may enter the exact value or round to 2 decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

The count in a bacteria culture was 400 after 15 minutes and 1200 after 35 minutes. Assuming the count grows exponentially,

What was the initial size of the culture?   

Find the doubling period.   

Find the population after 80 minutes.   

When will the population reach 10000.   
You may enter the exact value or round to 2 decimal places.

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