Problema Solution

A certain forest covers an area of 4000 km 2 Suppose that each year this area decreases by 5.5% What will the area be after 9 years?

Answer provided by our tutors

this year the area is: 4,000 km^2


after 1 year the area will be: 4,000 - 0.055*4,000 = (1 - 0.055)4,000


after 2 years the area will be: (1 - 0.055)4,000 - 0.055*(1 - 0.055)4,000 = ((1 - 0.055)^2)4,000


after 9 years the area will be: ((1 - 0.055)^9)*4,000 = 1,404.1 km^2.