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A particular culture of bacteria grows according to the formula A= Aoekt, where A is the population of the bacteria after time t, and A, is the initial population at t=0. Suppose there were 2 000 bacteria at the start of an experiment. After 3 hours, there were already 320 more than three times the initial number of the bacteria present Determine the growth constant k. Express your answer to the nearest hundredths. a. b. How many bacteria were there one hour after the experiment started? How many hours will it take for the bacteria to reach a population of 20 000? Round your answer to the nearest hour. с.

A particular culture of bacteria grows according to the formula A= Aoekt, where A is the population of the bacteria after time t, and A, is the initial population at t=0. Suppose there were 2 000 bacteria at the start of an experiment. After 3 hours, there were already 320 more than three times the initial number of the bacteria present Determine the growth constant k. Express your answer to the nearest hundredths. a. b. How many bacteria were there one hour after the experiment started? How many hours will it take for the bacteria to reach a population of 20 000? Round your answer to the nearest hour. с.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A particular culture of bacteria grows according to the formula A= Aoekt, where A is the population of the bacteria after time t, and A, is the initial population at t=0. Suppose there were 2 000 bacteria at the start of an experiment. After 3 hours, there were already 320 more than three times the initial number of the bacteria present Determine the growth constant k. Express your answer to the nearest hundredths. a. How many bacteria were there one hour after the experiment started? How many hours will it take for the bacteria to reach a population of 20 000? Round your answer to the nearest hour. b. с.
Transcribed Image Text:A particular culture of bacteria grows according to the formula A= Aoekt, where A is the population of the bacteria after time t, and A, is the initial population at t=0. Suppose there were 2 000 bacteria at the start of an experiment. After 3 hours, there were already 320 more than three times the initial number of the bacteria present Determine the growth constant k. Express your answer to the nearest hundredths. a. How many bacteria were there one hour after the experiment started? How many hours will it take for the bacteria to reach a population of 20 000? Round your answer to the nearest hour. b. с.
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