A dirty lake was contaminated by a toxic substance. The lake has a volume of 1.2M liters of water with 9k kgs of the toxic substance.  To solve this problem, they intentionally pour 1k liters of pure clean water per hour and releases the toxic water with the same rate. Assume that the lake can be safe to drink if 95% of the toxin is removed. Will the lake be safe to drink after a week? Why? Amount of toxic waste left after a month

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 23SE: A substance has a half-life of 2.045 minutes. If the initial amount of the substance was 132.8...
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  1. A dirty lake was contaminated by a toxic substance. The lake has a volume of 1.2M liters of water with 9k kgs of the toxic substance.  To solve this problem, they intentionally pour 1k liters of pure clean water per hour and releases the toxic water with the same rate. Assume that the lake can be safe to drink if 95% of the toxin is removed.
    1. Will the lake be safe to drink after a week? Why?
    2. Amount of toxic waste left after a month?
    3. How long before the lake only contains 45% of toxic waste?
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