Imagine you have a baseball card that is worth exactly $1 Imagine you have a baseball card that is worth exactly $1.00 today, and that its value is expected to increase by 3% per year. How many years will it take until the card’s value reaches $10? (Answer to the nearest tenth of a year)

2) Rewrite as single logarithms b)

3) $1500 is invested at 6% for 5 years 3) $1500 is invested at 6% for 5 years. Find the interest if it is compounded monthly.

4) Solve a) 53x = 10 b) ln(3x – 2) = 4

5) Suppose $10000 is put into an account that pays 6% compounded continuously. How much will be in the account after 6 years?

6) If 100 grams of a radioactive substance has a half-life of 6 months, how much of the substance would remain… a) After 1 year? b) After 36 months?

7) Solve 3e2x + 5 = 17

8) If you invest $10000 in an account that pays 10% interest compounded quarterly, how long will it take to triple you initial investment?

9) You are planning on investing $5000 in a bank account that pays 6% interest for the next 5 years. Which option would make you more money and how much more? Interest compounded semi-annually or interest compounded quarterly.

10) Expand the logarithms a) b)

11) Find the exponential model Cell phone subscribers 1988-1997 t= # years since 1987 t 1 2 3 4 5 6 7 8 9 10 y 1.6 2.7 4.4 6.4 8.9 13.1 19.3 28.2 38.2 48.7