A bank offers annual rates of 6% simple interest or 5% compound interest on its savings accounts. Suppose you have $10,000 to invest.

3. Express f(x), the value of your deposit after x years in the simple
interest account, and g(x), the value of your deposit after 2 years in the
compound interest account.

4. Is either f(x) or g(x) a linear function? An exponential function? How
can you tell?

5. Find the values of your deposit after three years in each account. After
three years, which account is the better choice?
6. Find the values of your deposit after 20 years in each account. After
20 years, which account is the better choice?