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# Natural Logarithms - PowerPoint PPT Presentation

Natural Logarithms. Section 8.6. Recall that. Natural Logs. Evaluate. Using Natural Logs to solve equations. How long would it take an investment to double if it is compounded continuously at 3.25%?. Solving Natural Log Equations. Solving Natural Log Equations.

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### Natural Logarithms

Section 8.6

Natural Logs

Solving Natural Log Equations compounded continuously at 3.25%?

Solving Natural Log Equations compounded continuously at 3.25%?

Write an exponential equation then solve compounded continuously at 3.25%?

• Carbon-14 is used to study fossil remains. It has a half-life of 5760 years. What is the age of a fossil with 1/5 of its carbon-14 remaining?

• Medical research indicates that the risk of having a car accident increases exponentially as the concentration of alcohol in the blood increases. The risk is modeled by: R= , where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to a 17% risk of a car accident?

• The exponential decay model for Carbon-14 is compounded continuously at 3.25%?

• Prehistoric cave paintings were discovered in a cave in France. The paint contained 15% of the original carbon14. Estimate the age of the paintings.

Homework compounded continuously at 3.25%?

Workbook 8-6 #7-45 odd

Wkst: word problems

Page 465 #14-38