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Write a function to represent the amount after t years for each situation. 1.100 grams of a compound with a half-life of 5000 years 2.12 bacteria that.

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Presentation on theme: "Write a function to represent the amount after t years for each situation. 1.100 grams of a compound with a half-life of 5000 years 2.12 bacteria that."— Presentation transcript:

1 Write a function to represent the amount after t years for each situation. 1.100 grams of a compound with a half-life of 5000 years 2.12 bacteria that quadruple themselves every 2 years 3.A new car worth $35,000 that depreciates 15% per year 4.A $75,000 student loan with a 6% annual interest rate

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3  Homework Questions? Homework: Page 183 1-23 odd, 27, 28

4 Lim 102.5937 1002.7048 10002.7169 10,0002.7181 100,0002.7183 Complete the table.

5  http://www.storyofmathematics.com/18th_e uler.html http://www.storyofmathematics.com/18th_e uler.html Leonhard Euler (1707-1783)

6  He spent most of his academic life in Russia and Germany.  He had a long life and thirteen children.  His collected works comprise nearly 900 books and, in the year 1775, he is said to have produced on average one mathematical paper every week.  He had a photographic memory.

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10 Annually12% Semiannually Quarterly Monthly Daily (365 days) (12/365)% k times per year (12/k)% 12% Annual Growth Compounded: % growth each period Growth factor during period Amount 12% Annual Growth

11 Compound Interest Equation If you invest $500 at a 10% annual interest rate that is compounded monthly, how much money will you have after 6 years?

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13 If you invest $500 at a 10% annual interest rate that is compounded continuously, how much money will you have after 6 years?

14 After a year during which interest is compounded quarterly, an investment of $750 is worth $790. What is the effective annual yield?

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17 Page 189 # 1-11 odd, 13-16 all


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