SOLUTION: The population of a certain species of fish has a relative growth rate of 1.2% per year. It is estimated that the population in 2000 was 10million.
a. Find an
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a. Find an
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Question 892642: The population of a certain species of fish has a relative growth rate of 1.2% per year. It is estimated that the population in 2000 was 10million.
a. Find an exponential model N(t)=N e^rt for the population after 2000
b. Estimate the fish population in the year 2007
c. After how year will the fish population reach 13 million Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The population of a certain species of fish has a relative growth rate of 1.2% per year. It is estimated that the population in 2000 was 10million.
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a. Find an exponential model N(t)=N e^rt for the population after 2000
N(t) = 10^6*e^(0.012t)
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b. Estimate the fish population in the year 2007
N(7) = 10^6*e^(0.012*7)
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N(7) = 1087628.9
Round up.
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c. After how many years will the fish population reach 13 million
13*10^6 = 10^6*e^(0.012t)
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e^(0.012t) = 13
0.012t = ln(13)
t = 213.7 years
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Cheers,
Stan H.
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