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

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.
------------------------
a. Find an exponential model N(t)=N e^rt for the population after 2000
N(t) = 10^6*e^(0.012t)
---------------------------------
b. Estimate the fish population in the year 2007
N(7) = 10^6*e^(0.012*7)
---
N(7) = 1087628.9
Round up.
--------------------
c. After how many years will the fish population reach 13 million
13*10^6 = 10^6*e^(0.012t)
----
e^(0.012t) = 13
0.012t = ln(13)
t = 213.7 years
------------------------
Cheers,
Stan H.
RELATED QUESTIONS
The population of a certain species of a fish has a relative growth rate of 1.2% per... (answered by josmiceli,ikleyn)

This is all ONE problem. The population of a certain species of fish has a relative... (answered by josgarithmetic)

The fox population in a certain region has a relative growth rate of 5% per year. It is... (answered by ikleyn)

Please help me solve this question 4. The number of certain species of fish introduced (answered by josgarithmetic)

The fox population in a certain region has a relative growth rate of 9 percent per year.... (answered by Boreal)

My teacher gave us a project that has a few questions: A.) The population of a certain... (answered by ankor@dixie-net.com)

Assume that a certain population of fish in a pond whose growth is described by the... (answered by ewatrrr)

Assume there is a certain population of fish in a pond whose growth is described by the... (answered by Boreal)

Assume there is a certain population of fish in a pond whose growth is described by the... (answered by Glaviolette)