The national economy shrank in an annual rate of 8% per year for three consecutive years then the economy shrank by 24% over the three year. the economy actually shrank by what percentage over 3 year.

The economy is at a level that is (1 - 8%)³ = 0.778688 of the level it was at the beginning of the 3-year period. It has shrunk by

... 1 - 0.778688 ≈ 22.1%

answer: answer

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.