Bellwork 1. Solve for x. 2. Write in logarithmic form: 3. Write in exponential form: ln 1096.633 = 7 Evaluate and simplify if possible. 4. 5.

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Presentation transcript:

Bellwork 1. Solve for x. 2. Write in logarithmic form: 3. Write in exponential form: ln = 7 Evaluate and simplify if possible

Lesson 6.6 The Natural Base, e

Continuous Compounding Formula Practice: 1.) A $800 investment earns an annual interest rate of 4.3%. Find the final amount after 5 years for the interest compounded continuously. 2.) Vance invests $900 at 8.5% interest, compounded continuously. What is the value of his investment after 3 years?

Continuous Compounding Formula Practice: 3.) A $1000 investment earns an annual interest rate of 7.6%. Find the final amount after 8 years for the interest compounded continuously. 4.) Todd invests $2,000 at 6.5% interest, compounded continuously. How long will it take him to earn $4,362.94?

Write an equivalent logarithmic or exponential equation ln ( ¼) ≈ ln = 4 4.

Solve each equation. Round to hundredths. 1.) 2.) Evaluate each expression. 3.) 4.)

Lesson6.6 Page 961 (1-37)