In $2012,34.1\%$ of all glass contaners were recycled A bererage company used $150,000b$ of glass containers year. After recycling, the amount of glass, in pounds, still in use after $1$ pears is given by N$(1)=150,000(0409{)}^{\text{'}}.$

a$)$ Find N$(7),$ and explain its meaning

b$)$ Find $N^{\text{'}}(7),$ and explain its meaning

c$)$ When will $5\%$ of the original amount of glass sull be in use?

a$)N(T)=$ b

$($Round to the decimal places as needed$)$