3. Continuous growth or decay follows the formula A(t) = cekt, where c is the initial amount, and k is a rate factor. The initial mass of a radioactive substance is 1000 g, and only 100 g after 100 days. a) Determine the value of k to three decimal places. b) How fast is the sample decaying at 13 days. Round your answer to three decimal places. c) Determine the half-life, round to the nearest whole number.

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
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3. Continuous growth or decay follows the formula A(t) = cekt, where c is the initial amount, and k is a
rate factor. The initial mass of a radioactive substance is 1000 g, and only 100 g after 100 days.
a) Determine the value of k to three decimal places.
b) How fast is the sample decaying at 13 days. Round your answer to three decimal places.
c) Determine the half-life, round to the nearest whole number.
Transcribed Image Text:3. Continuous growth or decay follows the formula A(t) = cekt, where c is the initial amount, and k is a rate factor. The initial mass of a radioactive substance is 1000 g, and only 100 g after 100 days. a) Determine the value of k to three decimal places. b) How fast is the sample decaying at 13 days. Round your answer to three decimal places. c) Determine the half-life, round to the nearest whole number.
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