Problema Solution

Although the people in a country throw 1500 aluminum cans in the trash every second of every​ day, 51.5% of the aluminum in the cans is recycled. If a beverage company distributes 450 comma 000450,000 ​cans, the amount of aluminum still in use after t years can be made into N​ cans, where Upper N left parenthesis t right parenthesis equals 450 comma 000 left parenthesis 0.515 right parenthesis Superscript tN(t)=450,000(0.515)t. Answer the following.

How many cans can be made from the original 450 comma 000450,000 cans after 55 ​years?

Answer provided by our tutors

N(t)=450,000(0.515)^t, where t is years

We need to find N(t) when t = 5 year:

N(55) = 450,000(0.515)^5

N(55) = 16,302 cans

16,302 cans can be made out of the original 450,000 cans after a time period of 5 years.