Math 116 Section 6.1 Powers of e What does the graph of e* look like? e3.1 ≈ e-0.5 Exponential models that use e as a base are called continuous growth or decay models. Seen in finance, computer science, biological science, physics and fluid dynamics. Formula A(t) = aert a = initial value r = continuous growth rate per unit of time t = elapsed time r> 0 growth r< 0 decay For Business applications use A (t) = Pert Example 7: Continuous growth A person invested $1000 in an account earning a nominal 10% per year compounded continuously. How much was in the account at the end of one year? Example 8: Continuous Decay Radon-222 is a radioactive isotope that decays at a continuous rate of 17.3% per day. How much will 100 mg of radon-222 decay to in 3 days?

Math 116 Section 6.1 Powers of e What does the graph of e* look like? e3.1 ≈ e-0.5 Exponential models that use e as a base are called continuous growth or decay models. Seen in finance, computer science, biological science, physics and fluid dynamics. Formula A(t) = aert a = initial value r = continuous growth rate per unit of time t = elapsed time r> 0 growth r< 0 decay For Business applications use A (t) = Pert Example 7: Continuous growth A person invested $1000 in an account earning a nominal 10% per year compounded continuously. How much was in the account at the end of one year? Example 8: Continuous Decay Radon-222 is a radioactive isotope that decays at a continuous rate of 17.3% per day. How much will 100 mg of radon-222 decay to in 3 days?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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