The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P has doubled in 5 years. Suppose it is known that the population is 11,000 after 3 years. What was the initial population Po? (Round your answer to one decimal place.) Po = What will be the population in 10 years? (Round your answer to the nearest person.) persons How fast is the population growing at t = 10? (Round your answer to the nearest person.) persons/year

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P has doubled in 5 years.
Suppose it is known that the population is 11,000 after 3 years. What was the initial population Po? (Round your answer to one decimal place.)
Po
What will be the population in 10 years? (Round your answer to the nearest person.)
persons
How fast is the population growing at t = 10? (Round your answer to the nearest person.)
persons/year
Transcribed Image Text:The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial population P has doubled in 5 years. Suppose it is known that the population is 11,000 after 3 years. What was the initial population Po? (Round your answer to one decimal place.) Po What will be the population in 10 years? (Round your answer to the nearest person.) persons How fast is the population growing at t = 10? (Round your answer to the nearest person.) persons/year
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