You DO NOT need to show your work for these questions unless the question specifically asks you to. Part 6-4: e and Natural Logarithms 2. Suppose $4449 is invested at 11% compounded continuously for 7 years. What is the annual yield percent to the nearest hundredth? Answer: _____ 3. Suppose $4449 is invested at 11% compounded continuously for 7 years. How much money will be worth after that time? Answer: ­­­­­_____ 6. The population of New Zealand in 1990 was about 3,376,000 with an average growth rate of 2.7%. If this growth rate continues, use the Continuous Change Model to predict New Zealand's population in 2008. Answer: _____ 7. A satellite has a radioisotope power supply, with power output given by P = 73e-t/347 Where t is the time in days and P is the power output in watts. What is the power output to nearest hundredth of a watt at the end of its first year? Answer: _____ 8. A satellite has a radioisotope power supply, with power output given by P = 73e-t/347 Where t is the time in days and P is the power output in watts. When the power output drops below 8 watts, there will be insufficient power to operate the satellite. How many days will the satellite be operational? Answer: _____ 10. Explain HOW you would find the answer to ln e7.1 Answer: _____ Part 6-5: Properties of Logarithms Use the fact that loga 4 = .782 and loga 3 = .654 and the property of logarithms to answer the following for Questions 1- 4.1. Evaluate loga 3/4 =Answer: _____2. Evaluate loga 48 = Report your answer to the thousandth place. Answer: _____ 3. Evaluate loga 27 = Report your answer to the thousandth place. Answer: _____ 4. Evaluate loga 3a4 = Answer: _____ 5. Find an expression for A that does not involve logarithms ln A = 2 ln B - 4 ln C Answer: _____ 6. Write a linear function for log y which is equivalent to y = 400(1.08)x Answer: _____ 7. Write a exponential equation in the form A = c*d^t equivalent to ln A = 1.7t + 8.2 Answer: _____ Part 6-6: Solving Exponential Equations 5. If you invest money at 12.3% compounded continuously. How many years, to nearest tenth, will it take to double? Answer: _____ 6. Which expression(s) could be entered into your calculator to produce a graph of y = log7 x Select one or more:a. y = log 7/log xb. y = log x/log 7c. y = ln 7/ln xd. y = x/7e. y = ln x/ln 7 Answer: _____