<s>[INST] A sum of money is to be invested for one year and has two options: Investment A and Investment B. Investment A pays 1.98% interest compounded annually, and Investment B pays 2.00% interest compounded annually. If the face value of the investment is $10,000, which investment should an investor choose if she wants maximize the earnings and what is the dollar amount of the difference between the earnings from the two investments?[/INST]