You have invested money in a savings account that pays a fixed monthly interest on the account balance. The following table shows the account balance over the first 5 months. Time in months Savings balance 0 $1500.00 1 $1524.00 2 $1548.38 3 $1573.15 4 $1598.32 5 $1623.89 (a) How much money was originally invested?   (b) Show that the data are exponential. (Round your answer to three decimal places.) Each successive ratio of new/old is  _______, which shows that the data is exponential. Find an exponential model for the account balance. (Let t be the time in months and B the savings balance in dollars. Round your parameters to three decimal places.) B(t) =        (c) What is the monthly interest rate? (Round your answer to one decimal place.)

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