In any time interval of a given length, the function value is multiplied by the same factor. You invest money a at certain annual interest rate p. Interest is paid once a year. It is customary to use...

Extracted text: In any time interval of a given length, the function value is multiplied by the same factor. You invest money a at certain annual interest rate p. Interest is paid once a year. It is customary to use instead of the percentage the rate r defined by r = 100 Every year you multiply your current capital by a factor (where your answer of course depends on r). In 2 years you multiply your initial capital with In 3 years you multiply your initial capital with Int years you multiply your initial capital with (where your answer depends on r and t). Supposing that your initial deposit is I, after t years, your balance is f(t) = (where your answer depends on r, t, and I). (Remember that variables are case sensitive, you do need to use the proper upper or lower case for each variable.)