The complex number lies in the shaded area of the graph. the complex number does not lie in the shaded area.
blank spot 1
1 - 3i
-1 + 3i
-3 + 4i
blank spot 2
-4i
-1 + 4i
4i

Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.

Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).

Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)

The answer would be 27 because assuming that each package has 1 bar of soap and 1 tube of toothpaste, after 27 packages they would run out of toothpaste

Igot the answer of 15.8 years.