Well, my old point and shoot doesn't have shutter speed control
So the best I could do was trick it by using the "sunset" scene mode. I have to fiddle with color control now, as the gamma=7 made things a bit purplish.
I zoomed in and cropped the pics so you could see it more clearly what's going on.
Here's how it looks with the default gamma:
And now (notice the black is ALL black as it should be):