I need help solving these Precalculus questions in the Periodic and Continuous Growth and Decay chapter.

A population numbers 10,000 organisms initially and decreases by 5.6% each year. (A) Suppose P represents population, and t the number of years of decline. An exponential model for the population can be written in the form P = a - bt where a = and b = (B) Use logs to determine the number of years until the population drops to 7,100 organisms. Round answer to 2 decimal places. t 2 years The amount of money in an investment is modeled by the function A(t) = 600(1.0866)t. The variable A represents the investment balance in dollars, and t the number of years since 2004. (A) In 2004, the balance was $ (B) The amount of money in the investment is Select an answer a (C) The annual rate of change in the balance is 1' = orr = %. (D) In the year 2011 the investment balance will equal $ . Round answer to the nearest penny. The amount of money in an investment is modeled by the function A(t) = 600(0.8605)t. The variable A represents the investment balance in dollars, and t the number of years since 2006. (A) In 2006, the balance was $ (B) The amount of money in the investment is Select an answer a (C) The annual rate of change in the balance is 1' = orr = %. (D) In the year 2014 the investment balance will equal $ . Round answer to the nearest penny. A house was valued at $105,000 in the year 1988. The value appreciated to $145,000 by the year 2005. Use the compound interest formula 3 : P(l + r)t to answer the following questions. A) What was the annual growth rate between 1988 and 2005? r = Round the growth rate to 4 decimal places. B) What is the correct answer to part A written in percentage form? 1' = %. C) Assume that the house value continues to grow by the same percentage. What will the value equal in the year 2010 ? value = $ Round to the nearest thousand dollars. The fox population in a certain region has an annual growth rate of 5% per year. In the year 2012, there were 20,900 foxes counted in the area. What is the fox population predicted to be in the year 2020? Round to the nearest fox. foxes If 20000 dollars is invested at an interest rate of 6 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: $ Preview (b) Semiannual: $ Preview (c) Monthly: $ Preview (d) Daily: $ Preview You deposit $4000 in an account earning 8% interest compounded continuously. How much will you have in the account in 5 years? $ You want to have $500,000 when you retire in 30 years. If you can earn 5% interest compounded continuously, how much would you need to deposit now into the account to reach your retirement goal? $ The number of bacteria in a culture is given by the function n(t) = 945e0-3t where t is measured in hours. (a) What is the relative rate of growth of this bacterium population? Your answer is Preview percent (b) What is the initial population of the culture (at t=0)? Your answer is Preview (c) How many bacteria will the culture contain at time t=5? Your answer is Preview The population of a country was 273 million in 1996 and the continuous exponential growth rate was estimated at 1.8% per year. Assuming that the population of the country continues to follow an exponential growth model, nd the projected population in 2012. Round your answer to 1 decimal place. The approximate population in 2012 is million people