In​ 2012, 34.1% of all glass containers were recycled. A beverage company used 450,000lb of glass containers per year. After​ recycling, the amount of​ glass, in​ pounds, still in use after t years is given by N(t)=450,000(0.395)t.   ​a) Find N(7)​, and explain its meaning. ​b) Find N′(7)​, and explain its meaning. ​c) When will 5​% of the original amount of glass still be in​ use?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 78RE
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In​ 2012, 34.1% of all glass containers were recycled. A beverage company used 450,000lb of glass containers per year. After​ recycling, the amount of​ glass, in​ pounds, still in use after t years is given by N(t)=450,000(0.395)t.
 
​a) Find N(7)​, and explain its meaning.
​b) Find N′(7)​, and explain its meaning.
​c) When will 5​% of the original amount of glass still be in​ use?
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