Can you help me?

1. Find a formula for the exponential function passing through the points (3,4/125) and (2,100) f(x) =

2. A population numbers 16,000 organisms initially and decreases by 1.9% each year. Suppose PP represents a population, and tt the number of years of growth. An exponential model for the population can be written in the form P=ab^t where P =

3. The fox population in a certain region has an annual growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 6400. (a) Find a function that models the population tt 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 integer)

4. A car was valued at $33,000 in the year 1994. The value depreciated to $10,000 by the year 2001. A) What was the annual rate of change between 1994 and 2001? r = ______ Round the rate of decrease to 4 decimal places. B) What is the correct answer to part A has written in percentage form? r = ______ %. C) Assume that the car value continues to drop by the same percentage. What will the value be in the year 2005 ? value = $ ______ Round to the nearest 50 dollars.

4. A bank features a savings account that has an annual percentage rate of r=5.7% with interest compounded quarterly. Samantha deposits $3,500 into the account. The account balance can be modeled by the exponential formula A(t)=a(1+r/k)^kt where A is the account value after t years, aa is the principal (starting amount), r is the annual percentage rate, kk is the number of times each year that the interest is compounded. (A) What values should be used for aa, r, and kk? a=, r= , k= (B) How much money will Samantha have in the account in 88 years? Answer = $ . Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year.) APY= %. Round answer to 3 decimal places.