4) Assume the $3000 investment in problem (3) is placed in an account where interest is compounded continuously. Find the total amount of the investment after five years have passed (assuming no additional deposits or withdrawals) and find the amount of interest earned.

5) Find the time necessary for $500 to grow to $850 when placed in an account that earns 8% compounded semi-annually, assuming no additional deposits or withdrawals. You can certainly solve this graphically or, if you have worked some of the homework problems in section 5.4, you can use the 1-to-1 property of the exponential function and solve this problem algebraically.

6) Explain how the graph of G(X) = -2 * 3^(X + 1) + 1 can be obtained from F(X) = 3^(X) through a series of transformations.

7) Expand and simplify the following logarithmic expression using properties of logarithms, so that it becomes a sum or difference of terms.

. . . . .$\displaystyle \log_4\left[\frac{4^x\, \times\, 4^{2x}\, \times\, 4y}{64}\right]$