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8 – 3 The Number e Day 2

8 – 3 The Number e Day 2. Objective (Ca. Standard 12): Students know the laws of fractional exponents, understand exponential function, and use these functions in problems in problems involving exponential growth and decay. Using e in Real Life. Compound Interest formula.

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8 – 3 The Number e Day 2

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  1. 8 – 3 The Number eDay 2 Objective (Ca. Standard 12): Students know the laws of fractional exponents, understand exponential function, and use these functions in problems in problems involving exponential growth and decay.

  2. Using e in Real Life Compound Interest formula Where A is the amount in the account earning interest compounded n time per year for t years, P is the principal, and r is the annual interest rate expressed as a decimal. As n approaches positive infinite, the compound interest formula approximates the following continuously compound interest

  3. Example 4: Finding the Balance of an Account You deposit $1500 in an account that pays 7.5% annual interest rate compounded continuously. What is the balance of the account after 1 year? Solution: Note P = 1500, r = 0.075, and t = 1

  4. Example 5: Using an Exponential Model The radioactive decay radon-222 can be modeled by where A is the amount remaining, C is the original amount, and t is the time in days. If there are 15 mg of radon 222 sealed in a glass tube, how much will remain in the tube after 8 days?

  5. If 10 mg remains after 5 days, how much was originally there?

  6. Homework page 483 73-79, 81-83, 84-94(even)

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