Problema Solution
A certain forest covers an area of
3700km2. Suppose that each year this area decreases by
7.75%. What will the area be after 13 years?
Answer provided by our tutors
Now the area is: 3,700 km^2
After 1 year from now, the area will decrease by 7.75%: 3,700 - 0.0775*3,700 = (1 - 0.0775)3,700
After 2 years from now, the area will decrease another 7.75% compared to last year: (1 - 0.0775)3,700- 0.0775*(1 - 0.0775)3,700 = ((1 - 0.0775)^2)3,7000
.....
After n years from now, the area will decrease another 7.75% compared to last year:((1 - 0.0775)^n)3,7000
In order to find the area after 13 years, we need to plug n = 13 into ((1 - 0.0775)^n)3,7000:
((1 - 0.0775)^13)3,7000 = 12,965 km^2
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