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At the beginning of an experiment, a scientist has 176 grams of radioactive goo. After 210 minutes her sample has decayed to 22 grams. (a) Find a formula for A(t), the amount of goo remaining after t minutes. (Write your formula in the form A(t) = Agekt. Round your k value to six decimal places.) A(t) = (b) What is the half-life of the goo in minutes? (Round your answer to the nearest minute.)

At the beginning of an experiment, a scientist has 176 grams of radioactive goo. After 210 minutes her sample has decayed to 22 grams. (a) Find a formula for A(t), the amount of goo remaining after t minutes. (Write your formula in the form A(t) = Agekt. Round your k value to six decimal places.) A(t) = (b) What is the half-life of the goo in minutes? (Round your answer to the nearest minute.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 13CC
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At the beginning of an experiment, a scientist has 176 grams of radioactive goo. After 210 minutes her sample has decayed to 22 grams. (a) Find a formula for A(t), the amount of goo remaining after t minutes. (Write your formula in the form A(t) = Aoekt. Round your k value to six decimal places.) A(t) = (b) What is the half-life of the goo in minutes? (Round your answer to the nearest minute.) (Round your answer to (c) How many grams of goo will remain after 32 minutes? the nearest tenth.) Question Help: Post to forum Submit Question esc с tab ne lock ! 1 ← Q A @ 2 W S #3 E O $ 4 D 20 G Search or type UR % 6 R 5 F T
Transcribed Image Text:At the beginning of an experiment, a scientist has 176 grams of radioactive goo. After 210 minutes her sample has decayed to 22 grams. (a) Find a formula for A(t), the amount of goo remaining after t minutes. (Write your formula in the form A(t) = Aoekt. Round your k value to six decimal places.) A(t) = (b) What is the half-life of the goo in minutes? (Round your answer to the nearest minute.) (Round your answer to (c) How many grams of goo will remain after 32 minutes? the nearest tenth.) Question Help: Post to forum Submit Question esc с tab ne lock ! 1 ← Q A @ 2 W S #3 E O $ 4 D 20 G Search or type UR % 6 R 5 F T
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