Finding a final amount in a word problem on exponential growt A certain forest covers an area of 2600 km². Suppose that each year this area decreases by 5%. What will the area be after 5 years?
Use the calculator provided and round your answer to the nearest square kilometer.

2012 km squared

Step-by-step explanation:

2600(.95)^5

if its going down by 5 percent, we minus 5 by 100. any decimal lower than 1.00 will result in a lower number. then for 5 years, we use it as an exponent

uh sorry if that doesn't make a lot of sense

the answer is b

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0