A certain forest covers an area of 2000 km^2 --(exponent of 2). Suppose that each year this area decreases by 3.75%. What will the area be after 8 years? Round your answer to the nearest square kilometer

Question

A certain forest covers an area of 2000 km^2  --(exponent of 2). Suppose that each year this area decreases by 3.75%. What will the area be after 8 years? Round your answer to the nearest square kilometer

anonymous · Answer

um wait a moment let me do my calculations

anonymous · Answer

um wait almost i need one more step hello @amandaleonhardt

johnweldon1993 · Answer

$$\large 2000(1 - 0.0375)^8$$

johnweldon1993 · Answer

Just remember the exponential decay function

$$\large a(1 - r)^x$$

r would be the rate (in decimal form) 'a' would be the starting value, and 'x' will be the amount of time past (in years)

anonymous · Answer

Thank you so much!!