The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving the equation dA + 0.039A dt = 0. If there are 250 grams of the substance initially, when will 75% of the original amount have decayed? Round-off your final answer to two decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 73RE
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a. 35.55 years

b. 359.25 years
c. 213.41 year
d. There is no correct answer from the given choices.
e. 5320.20 years




 

The
amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving the equation
dA + 0.039A dt = 0. If there are 250 grams of the substance initially, when will 75% of the original amount have decayed? Round-off
your final answer to two decimal places.
Transcribed Image Text:The amount A (in g) remaining of a radioactive substance after time t (in years) is found by solving the equation dA + 0.039A dt = 0. If there are 250 grams of the substance initially, when will 75% of the original amount have decayed? Round-off your final answer to two decimal places.
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Why there is some solution says it is 35.55? What would be its appropriate true answer? 

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