The fox population in a certain region has an annual growth rate of 9 percent per year. It is estimated that the population in the year 2000 was 12800. (a) Find a function that models the population t years after 2000 (t : 0 for 2000). 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 should be an Find a formula for the exponential function passing through the points (-2,2 4 ) and (3,40) F: A house was valued at $105,000 in the year 1987. The value appreciated to $160,000 by the year 2001. Use the compund interest formula S : P(1 + if to answer the following questions. A) What was the annual growth rate between 1987 and 2001? r = Round the growth rate to 4 decfm at places. B) What is the correct answer to part A written in percentage form? r: %. C) Assume that the house value continues to grow by the same percentage. What will the value equal in the year 2005 ? value = $ Round to the nearest thousand \\dollars. The fox population in a certain region has a continuous growth rate of 8 percent per year. It is estimated that the population in the year 2000 was 5800. (a) Find a function that models the population t years after 2000 (t : 0 for 2000). 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 Evaluate the following expressions. Your answers must be exact and in simplest form. (30111125 : | | (b) 61:14 : | | (d) 111C?) : | | Solve for x: 5 = 44 @ =If e 6x = 19, then * =Find the solution of the exponential equation 100(1.07) 2t = 5, 000 in terms of logarithms, or correct to four decimal places. =