Question

1. The Arizona Fish and Game department has a lottery for elk tags in an effort to control the population of elk in Northern Arizona. There are two proposed methods of deciding how many tags to auction:
A) Auction 6 % of the current population each year.
B) Auction 7500 tags per year regardless of the population.
Clearly one method is a better policy since it monitors the current population.
However; ignoring the birth rate of elk, decide if policy A) and B) lead to exponential or linear decay in the population of elk.
Write EXP for exponential and LIN for linear growth.. Answer for A and B

2.  Let P=f(t)=800(1.027)tP=f(t)=800(1.027)t be the population of a community in year tt.(a) Evaluate f(0)=f(0)= (b) Evaluate f(10)=f(10)= (c) Which of these statements correctly explains the practical meaning of the value you found for f(10)f(10) in part (b)? (select all that apply if more than one is correct)

3. The rat population in a major metropolitan city is given by the formula n(t)=43e0.015tn(t)=43e0.015twhere tt is measured in years since 1993 and nn is measured in millions. (a) What was the rat population in 1993? (b) What is the rat population going to be in the year 2002?. answer for A and B

4. If 6900 dollars is invested at an interest rate of 10 percent per year, compounded semiannually, find the value of the investment after the given number of years.
(a) 5 years:
Your answer is  
(b) 10 years:
Your answer is  
(c) 15 years:
Your answer is

5.  A city had a population of 5,295 at the begining of 1948 and has been growing at 7.4% per year since then.

(a) Find the size of the city at the beginning of 1999.
Answer:

(b) During what year will the population of the city reach 13,195,713 ? (Plug answer into a calculator and round.)
Answer:

6. If 4000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. How many years will it take for your balance to reach 20000 dollars?

7. Find the doubling time for a city whose population is growing by 15% per year.

The doubling time is  years.

Answer 1