A long-time independent bank merged with another bank in 2004. Their year-end financial reports for the final five years of independent operation give the values to the right for their liquid assets. a) Use a 3-year moving average to predict what liquid assets would have been in 2004. b) Predict the value for 2004 using a single exponential smooth with smoothing parameter a=0.3, beginning with the initial value. Year 1999 2000 2001 2002 2003 Liquid Assets ($M) 17,213 21,982 22,642 19,067 25,812

Use log21=0,log22=1, and log24=2 to estimate log23.

With what kind of exponential model would half-life be associated? What role does half-life play in these models?

With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?

Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds. Growth has slowed to a doubling time of approximately three years. Find the new function that takes that longer doubling time into account.

A field currently holds 20 tulips.  The number of tulips will grow by 70% each year.  The field can only sustain 300 plants.  Use th logistic growth model to predict the population in the next 3 years.

A firm experienced the demand shown in the following table. Fill in the table by preparing forecasts based on a five-year moving average, a three-year moving average, and exponential smoothing (w=0.9w=0.9 and w=0.3w=0.3). (Note: The exponential smoothing forecasts may be begun by assuming Yˆt + 1=YtY^t + 1=Yt.) Year Actual Demand Moving Average Exponential Smoothing (5-year) (3-year) (W = 0.9) (W = 0.3) 2000 800         2001 790               2002 785               2003 785   792              2004 790   787              2005 805 790    787              2006 825 791    794              2007 850 798    807              2008 825 811    827              2009 860 819    834              2010 * 833    846                The following table shows the square errors, (Yt−Yˆt - 1)2Yt−Y^t - 12, for forecasts from 2005 through 2009. Fill the table by calculating the root mean square error (RMSE) for each of the methods. Year Square…