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?

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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Question

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?

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