Can you help me understand this Calculus question?

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__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 e^{7.1}

Answer: _____

__Part 6-5: Properties of Logarithms __

Use the fact that log_{a} 4 = .782 and log_{a} 3_{ }= .654 and the property of logarithms to answer the following for Questions 1- 4.

1. Evaluate log_{a} 3/4 =

Answer: _____

2. Evaluate log_{a} 48 =

*Report your answer to the thousandth place. *

Answer: _____

3. Evaluate log_{a} 27 =

*Report your answer to the thousandth place. *

Answer: _____

4. Evaluate log_{a} 3a^{4} =

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 = log_{7} x

Select one or more:

a. y = log 7/log x

b. y = log x/log 7

c. y = ln 7/ln x

d. y = x/7

e. y = ln x/ln 7

Answer: _____

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