1. Start with a blank Excel file and use 701 evenly spaced points to plot the graph of over the interval . Recall that Excel uses EXP(x) for . This graph shows you the value of $2,000 invested at 6%, compounded continuously, for t years. When t is negative, gives the past value. When t is positive, gives the future value of the $2,000.

2. Use the plot that you made in Question 1 to estimate the length of time that it will take for $2,000 to grow to $3,000 at 6%, compounded continuously.

3. Start with a blank Excel file and use 501 evenly spaced points to plot the graph of over the interval . Note that this function is the c.d.f. for an exponential random variable with parameter .

4. Show the graphs of both and in the same plot, over the interval .

5. Use Graphing.xls to plot the graph of over the interval .

6. Use Graphing.xls to plot the graph of over the interval . Note that this function is the p.d.f. for an exponential random variable with parameter .

2. Use the plot that you made in Question 1 to estimate the length of time that it will take for $2,000 to grow to $3,000 at 6%, compounded continuously.

3. Start with a blank Excel file and use 501 evenly spaced points to plot the graph of over the interval . Note that this function is the c.d.f. for an exponential random variable with parameter .

4. Show the graphs of both and in the same plot, over the interval .

5. Use Graphing.xls to plot the graph of over the interval .

6. Use Graphing.xls to plot the graph of over the interval . Note that this function is the p.d.f. for an exponential random variable with parameter .

## This question was asked on Jan 21, 2013.

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