A3 4.1 Exponential functions, Compound Interest, Interest Compounded Continuously, Applications HW: p. 451-454 1-13, 25-55, 65-73 odd.

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A3 4.1 Exponential functions, Compound Interest, Interest Compounded Continuously, Applications HW: p , 25-55, odd

Exponential Function – a little more info…

Is the function exponential? If so, identify the base

Transformations TransformationEquationDescription Vertical TranslationDown c Up c Horizontal TranslationLeft c Right c ReflectionOver y axis Over x axis Vertical Stretch/ShrinkStretch by c |c|>1 Shrink by c |c|<1 Horizontal Stretch/ShrinkStretch by 1/c |c|<1 Shrink by 1/c |c|>1

Interest Formulas Simple Interest: big ticket items – cars, boats, houses Compound Interest: investments, credit cards, legal extortion… Interest Compounded Continuously

Examples 1.You decide to invest $8000 for 6 years and you have a choice between 2 accounts. The first pays 7% per year compounded monthly. The second pays 6.85% per year, compounded continuously. Which is the better investment? 2.A sum of $10,000 is invested at an annual percentage rate of 8%. Find the balance in the account after 5 years, subject to quarterly compounding and continuous compounding.