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.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5