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Imagine you have a baseball card that is worth exactly $1

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Presentation on theme: "Imagine you have a baseball card that is worth exactly $1"— Presentation transcript:

1 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 2) Rewrite as single logarithms
b)

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

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

6 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 7) Solve 3e2x + 5 = 17

8 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 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 10) Expand the logarithms
a) b)

11 11) Find the exponential model
Cell phone subscribers 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


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