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The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 7900. (a) Find a function that models the population + years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)

The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 7900. (a) Find a function that models the population + years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)

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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The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 7900. (a) Find a function that models the population + years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)
Transcribed Image Text:The fox population in a certain region has a continuous growth rate of 7 percent per year. It is estimated that the population in the year 2000 was 7900. (a) Find a function that models the population + years after 2000 (t = 0 for 2000). Your answer is P(t) = (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)
The number of bacteria in a culture is given by the function n(t) = 1000e0.. 0.3t where t is measured in hours. (a) What is the continuous rate of growth of this bacterium population? Your answer is percent (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t=5? Your answer is Round to the nearest bacteria.
Transcribed Image Text:The number of bacteria in a culture is given by the function n(t) = 1000e0.. 0.3t where t is measured in hours. (a) What is the continuous rate of growth of this bacterium population? Your answer is percent (b) What is the initial population of the culture (at t=0)? Your answer is (c) How many bacteria will the culture contain at time t=5? Your answer is Round to the nearest bacteria.
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