6. The population, P, of a school of fish t years after being released in a new habitat is given by P = 500(.96)'. a) How many fish were initially released? b) Circle answer and fill in the blank: The fish population is growing or declining by % per year. c) How many fish will there be in 2 years? d) When is the population expected to reach 100 fish? 7. Solve for x. (I) Give exact answer with no decimals. (II) Give answer estimated to two decimal places. BOX ANSWERS. (a) 24x+3 = 35x-2 (b) In x-In (x-3)=4 (c) log (2) + log (5x) = log (20) - log (x+4) 8. The Island of Niue is currently home to 5000 people, and the population has been growing at a constant rate of 8% each year. The Cook Islands are currently home to 20,000 natives, but the native population has been continuously decreasing by 6% each year. Write the equation for the population of the Island of Niue in terms of t years from today. N(t) =. Write the equation for the population of the Cook Islands in terms of t years from today. C(t) = If these trends continue, during what year will the populations be the same? Show work BY HAND for full credit. Box Answer. **Hint: If you can't do this algebraically BY HAND, then do it with your calculator for partial credit. **