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3. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after two years, the population has doubled, and 3 years the population is 20, 000. Find the number of people initially living in the country?

3. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after two years, the population has doubled, and 3 years the population is 20, 000. Find the number of people initially living in the country?

College Algebra (MindTap Course List)
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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3. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after two years, the population has doubled, and 3 years the population is 20, 000. Find the number of people initially living in the country?
Transcribed Image Text:3. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after two years, the population has doubled, and 3 years the population is 20, 000. Find the number of people initially living in the country?
Radium disintegrates at a rate proportional to the amount of radium instantaneously present. If the half – life of radium, that is, the time required for one-half of any given amount of radium to disintegrate is 1590 years, obtain a formula for the amount radium present after t years. How long will it be before one-fourth of the original amount has disintegrated? What fraction of the original amount will disintegrate during the first century, during the third century, and during the tenth century? 4.
Transcribed Image Text:Radium disintegrates at a rate proportional to the amount of radium instantaneously present. If the half – life of radium, that is, the time required for one-half of any given amount of radium to disintegrate is 1590 years, obtain a formula for the amount radium present after t years. How long will it be before one-fourth of the original amount has disintegrated? What fraction of the original amount will disintegrate during the first century, during the third century, and during the tenth century? 4.
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