Solve the following logarithm funcations:

1. Find the time required for an investment of 5000 dollars to grow to 8400 dollars at an interest rate of 7.5% per yea, compounded quarterly.

t= Years

2. If a bank pays an APR of 17% compounded annually, how much should be deposited now to have $100:

a- 3 years later

=

b- 4 years later

=

3. Say you have invested $25000 at a yearly interest rate of 8.5% compounded annually. How many years will it take for your investment to double in size.

4. Find the principal needed to get $700 in 4 years at 14% compounded monthly.

5. At what interest rate ( compounded daily ) should you invest if you would like to grow $3,766.14 to $4,153.00 in 75 days?

6. A city had a population of 6,886 at the beginning of 1953 and has been growing at 8.2% per year since then.

a- Find the size of the city at the beginning of 2004.

b- During what year will the population of the city reach 18,389,643 ?