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 If you deposit $10,000 into an account earning 3.5% interest compounded quarterly;  How much will you have in the account after 15 years?  How much.

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Presentation on theme: " If you deposit $10,000 into an account earning 3.5% interest compounded quarterly;  How much will you have in the account after 15 years?  How much."— Presentation transcript:

1  If you deposit $10,000 into an account earning 3.5% interest compounded quarterly;  How much will you have in the account after 15 years?  How much more money will you have after 15 years if you compound the money daily?

2  With a partner, complete the following.  Given $1 invested at 100% for 1 year, find the following compounds. Round all answers to the ten-thousandths. Annually? Quarterly? Monthly? Weekly? Daily? Hourly? Every minute? Every second?  What do you notice about the answers as you compound more frequently?  What special number is it?

3  Growth and Decay  Examples from science/nature.  http://www.dnatube.com/video/12203/Rapid- Bacterial-Growth http://www.dnatube.com/video/12203/Rapid- Bacterial-Growth  Example : If a bacteria doubles every 20 minutes, What is its constant or rate of growth? If it continues to grow at that rate how much bacteria will be present in 4 hours?

4  If your account compounds quarterly at 6.75%;  How much will you have to invest to have $8,000 in 15 years.  How much if you compound continuously?  If a radio-active material has a half life of 65 years;  How much will be present in 10 years?  How long until a 100 mg sample decays to 5 mgs?

5  How do you tell which compounding formula to use?  What types of things compound continuously?  If you deposited $10,000 in an account earning 2.75% compounded quarterly;  How much money will you have in 15 years?  How much more would you have if it was compounded continuously?  If the half-life of a toxic chemical is 75 years, how long until a 500mg sample has reduced to 35 mg?


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