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5. The amount of a radioactive substance A is an exponential function of time t. Every 20 minutes, the amount of the substance decreases by exactly 2.8%, and at time t = 0 minutes, there are 100 milligrams of the substance. ( So at time t = 20, there will be exactly 97.2 milligrams of the substance ) (a) Find an equation showing how A depends on t (b) By what percentage will the amount of the substance decrease from t = 0 to t = 200 minutes ? (c) At what time will there be only 1 milligram of the substance ?

5. The amount of a radioactive substance A is an exponential function of time t. Every 20 minutes, the amount of the substance decreases by exactly 2.8%, and at time t = 0 minutes, there are 100 milligrams of the substance. ( So at time t = 20, there will be exactly 97.2 milligrams of the substance ) (a) Find an equation showing how A depends on t (b) By what percentage will the amount of the substance decrease from t = 0 to t = 200 minutes ? (c) At what time will there be only 1 milligram of the substance ?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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5. The amount of a radioactive substance A is an exponential function of time t. Every 20 minutes, the amount of the substance decreases by exactly 2.8%, and at time t = 0 minutes, there are 100 milligrams of the substance. ( So at time t = 20, there will be exactly 97.2 milligrams of the substance ) (a) Find an equation showing how A depends on t (b) By what percentage will the amount of the substance decrease from t = 0 to t = 200 minutes ? (c) At what time will there be only 1 milligram of the substance ?
Transcribed Image Text:5. The amount of a radioactive substance A is an exponential function of time t. Every 20 minutes, the amount of the substance decreases by exactly 2.8%, and at time t = 0 minutes, there are 100 milligrams of the substance. ( So at time t = 20, there will be exactly 97.2 milligrams of the substance ) (a) Find an equation showing how A depends on t (b) By what percentage will the amount of the substance decrease from t = 0 to t = 200 minutes ? (c) At what time will there be only 1 milligram of the substance ?
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