The value of area after 12 years is 1409 square kilometer
Solution:
Given that,
A certain forest covers an area of 2300 square kilometer
Suppose that each year this area decreases by 4%
To find: Area after 12 years
This is decreasing function
The decrease function is given as:
[tex]y = A(1-r)^t[/tex]
Where,
y is the value after t years
A = initial amount
r = decreasing rate in decimal
t is the number of years
Here in this sum,
A = 2300
t = 12 years
[tex]r = 4 \% = \frac{4}{100} = 0.04[/tex]
Substituting the values in formula,
[tex]y = 2300(1-0.04)^{12}\\\\y = 2300(0.96)^{12}\\\\y = 2300 \times 0.612709\\\\y = 1409.23 \approx 1409[/tex]
Thus value of area after 12 years is 1409 square kilometer
