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Jacob has 10,000 dollars he would like to invest and he has a choice of three...

Jacob has 10,000 dollars he would like to invest and he has a choice of three accounts. Account A will average 3% interest compounded annually, account B will average 2.5% interest compounded continuously, and account C is also compounded continuously and will double his money in 25 years.

  1. (a) Find the functions, A(t),B(t), and C(t), that give the amount of money Jacob will have after t years for each account.

  2. (b) Based on your models in part (a) determine how long it will take Jacob to double his money for accounts A and B.

Math   Precalculus   
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