Acertain forest covers an area of 1700 km^2 . suppose that each year this area decreases by 6.5%.what will the area be after 5 years?

12476.4 km^2

Step-by-step explanation:

If we have an area of 1700 km^2 and it decreases at a rate of 6.5% a year then, 6.5% is 6.5÷100=0.065 in decimals.  Since the amount of forest area is decreasing from the original 100% by 6% each year then 1-0.06=0.94 or 94% of the forest is left every year and so:

Where the initial forest is 1700 km^2 , the rate is r=-0.06 (negative since it's decreasing) and t is the time so t=5.  

By plugging in those values we have:

The amount of forest left after 5 years is 12476.4 km^2.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: