'Compounded continuously' presentation slideshows

Exponential and Logarithmic Functions

Exponential and Logarithmic Functions. By: Jeffrey Bivin Lake Zurich High School jeff.bivin@lz95.org. Last Updated: January 30, 2008. With your Graphing Calculator graph each of the following. y = 2 x. y = 3 x. y = 5 x. y = 1 x.

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Exponential and Logarithmic Functions

Exponential and Logarithmic Functions. By: Hendrik Pical to Revition Exponential and Logarithmic Functions. Last Updated: January 30, 2011. With your Graphing Calculator graph each of the following. y = 2 x. y = 3 x. y = 5 x. y = 1 x.

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ENGM 661 Engineering Economics for Managers

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Graph by hand.

#1. #2. #3. Graph by hand. #4. #5. If $5000 is invested at 9% interest, find the amount after three years if the interest is compounded (a) monthly (b) quarterly (c) continuously. If $5000 is invested at 9% interest, find the amount after three years if the interest is compounded

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Exponential Functions Section 4.1

Exponential Functions Section 4.1. Definition of Exponential Functions. The exponential function f with a base b is defined by f(x) = b x where b is a positive constant other than 1 (b > 0, and b ? 1) and x is any real number. So, f(x) = 2 x , looks like:.

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Exponential Functions Section 4.1

Exponential Functions Section 4.1. JMerrill, 2005 Revised 2008. Definition of Exponential Functions. The exponential function f with a base b is defined by f(x) = b x where b is a positive constant other than 1 (b > 0, and b ? 1) and x is any real number. So, f(x) = 2 x , looks like:.

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3.4 Exponential & Logarithmic Equations

3.4 Exponential & Logarithmic Equations. JMerrill , 2010. Quick Review of 3.3. Properties of Logs. Rules of Logarithms If M and N are positive real numbers and b is ? 1:. The Product Rule : log b MN = log b M + log b N (The logarithm of a product is the sum of the logarithms)

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Compound Interest

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Ratios & Histograms

Ratios & Histograms. Ratios.

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6.6 The Natural Base, e

6.6 The Natural Base, e. Objectives: Evaluate natural exponential and natural logarithmic functions. The natural base, e, is used to estimate the ages of artifacts and to calculate interest that is compounded continuously. The Natural Exponential Function

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Compound Interest

Compound Interest. Making or Spending Money. Simple Interest Formula. If a principal of P dollars is borrowed for a period of t years at a per annum interest rate r , expressed as a decimal, then interest I charged is

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6.6 The Natural Base, e

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Exponential Growth and Decay

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11.1: The Constant e and Continuous Compound Interest

11.1: The Constant e and Continuous Compound Interest. Review (Mat 115). Just like ? , e is an irrational number which can not be represented exactly by any finite decimal fraction. However, it can be approximated by for a sufficiently large x. e.

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6.7 Compound Interest

6.7 Compound Interest. Simple Interest. If a principal of P dollars is borrowed for a period of t years at a per annum interest rate r , expressed in decimals, the interest I charged is. I=Prt. Amount after t years is. A = P+ I = P+Prt = P (1+ rt). Compound Interest.

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Notes Over 5.1

Notes Over 5.1. Graphing Exponential Functions. Graph both functions on the same graph. A larger base makes it increase faster. Notes Over 5.1. Graphing Exponential Functions. Graph both functions on the same graph. A larger base makes it decrease faster. Notes Over 5.1.

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Math 140

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Business Calculus

Business Calculus. Applications of Integration. 5.1 Social Gain. Consider a demand function D ( x ) and supply function S ( x ) where x is the quantity, and the output for both functions is price of the item. Demand: as the price of an item increases, the demand for that

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