Solving applied problems using exponential and logarithmic equations. Now we can solve applications that model real world situations whether the unknown is an exponent or in the argument of a logarithm. Science application: Calculating the half-life of a sample of radioactive substance as it decays. Substance Gallium-67 Cobalt -60 Titanium - 44 Americium - 241 Carbon-14 Uranium-235 Use Nuclear medicine Manufacturing Body joint replacements Construction Archeological dating Atomic power Half-life 80 hours 5.3 years 60 years 432 years 5,715 years 703,800,000 years In (0.5)t Use the formula A(t) = Age T • A is the amount initially present T is the half-life of the substance t is the time period over which the substance is studied y is the amount of the substance present after time t 13. How long will it take for ten percent of a 1000-gram sample of uranium-235 to decay? Given half-life is 703,800,000 years. What is the amount of uranium-235 remaining?

Solving applied problems using exponential and logarithmic equations. Now we can solve applications that model real world situations whether the unknown is an exponent or in the argument of a logarithm. Science application: Calculating the half-life of a sample of radioactive substance as it decays. Substance Gallium-67 Cobalt -60 Titanium - 44 Americium - 241 Carbon-14 Uranium-235 Use Nuclear medicine Manufacturing Body joint replacements Construction Archeological dating Atomic power Half-life 80 hours 5.3 years 60 years 432 years 5,715 years 703,800,000 years In (0.5)t Use the formula A(t) = Age T • A is the amount initially present T is the half-life of the substance t is the time period over which the substance is studied y is the amount of the substance present after time t 13. How long will it take for ten percent of a 1000-gram sample of uranium-235 to decay? Given half-life is 703,800,000 years. What is the amount of uranium-235 remaining?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter4: Exponential Functions

Section4.FR: A Further Look: Solving Exponential Equations

Problem 25E

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