Question

A recycling center currently has the capacity to process 70,600 tons of recyclables per year, and its capacity is growing by 7% per year. What quantity of recyclables will the center be able to process 18 years from now?If necessary, round your answer to the nearest tenth.

Answer 1

We have to use the simple interest formula

`A=P(1+rt)`

Where P = 70,600 tons, r = 0.07 (7%), and t = 18 years. Let's replace these values

`\begin{gathered} A=70,600\cdot(1+0.07\cdot18)=70,600(1+1.26) \\ A=70,600(2.26)=159,556 \end{gathered}`

Hence, after 18 years, there will be able to process 159,556 tons of recyclables.