1. The fox population in a certain region has a continuous growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 23900. (a) Find a function that models the population

t years after 2000 ( t=0 for 2000).

Hint: Use an exponential function with base e .

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)

2. Find the final amount of money in an account if $50 is deposited at 6% interest compounded annually and the money is left for 5 years.

The final amount is $ . Round answer to 2 decimal places

3.If 45500 dollars is invested at an interest rate of 9 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.
(a) Annual: $
(b) Semiannual: $
(c) Monthly: $
(d) Daily: $