Answer:
The equation which represent the area of forest creases each year is 2000 km² [tex](0.94)^{12}[/tex] and
The area is 952 km² .
Step-by-step explanation:
Given as :
The rate of depreciation of forest area each year = r = 6%
The initial area of forest = i = 2000 square kilometers
Let The final area of forest = f = x square kilometers
The time period for depreciation = 12 year
Now, According to question
The final area of forest = The initial area of forest × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
Or, f = i × [tex](1-\dfrac{\textrm r}{100})^{\textrm 12}[/tex]
Or, f = 2000 km² × [tex](1-\dfrac{\textrm 6}{100})^{\textrm 12}[/tex]
Or, f = 2000 km² × [tex](0.94)^{12}[/tex]
∴ f = 2000 km² × 0.475920
I.e f = 951.84 ≈ 952 km²
So, The equation which represent the area of forest creases each year = f = 952 km²
Hence,The equation which represent the area of forest creases each year is 2000 km² [tex](0.94)^{12}[/tex] and the area is 952 km² . Answer
