A sample of bacteria is decaying according to a half-life model. If the sample begins with 500 bacteria, and after 17 minutes there are 250 bacteria, after how many minutes will there be 40 bacteria remaining? When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 6SC
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A sample of bacteria is decaying according to a half-life model. If the sample begins with 500 bacteria, and after 17 minutes there are 250 bacteria, after how many minutes will there be 40 bacteria remaining?

When solving this problem, round the value of k to four decimal places and round your final answer to the nearest whole number.

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