2. Consider the following programming problem: In 1627, Manhattan Island was sold to Dutch settlers for $24. If the proceeds of that sale had been deposited in a Dutch bank paying 5% interest, compounded annually, what would the principal balance be at the end of 2002? The following display is required: "Balance as of December 31, 2002 is: xxxxxx"; xxxxxx is the amount calculated by your program. 25. a) For this programming problem, how many outputs are required:? b) How many inputs does this problem have? c) Determine a formula for converting input items into output items. d) Declare a variable for holding each input and output variable with appropriate datatype