A sumac. Someone will be along any minute now to tell you which one.

Agree. D. marginata, specifically. *Please* don't use the watering globe thing in either pot, except decoratively. It looks like some of the soil in the PT palm pot is moist, some is dry. That can cause difficulties. Try to water thoroughly, then allow some time to dry. Do your pots have holes in the bottom for excess water to escape? There are many discussion about both plants in house plant forum. The PT palm likes tons of light, some direct sun if possible. The other is happier with a bit less, but never a dark corner. The info in these 2 posts can get you off to a good start: http://forums2.gardenweb.com/discussions/1490818/good-growing-practices-an-overview-for http://forums2.gardenweb.com/discussions/1497307/ukeeping-u-them-looking-good

Plectranthus amboinicus ?

Can you pull back and show us more of the plant? Are the succulent leaves in the background the same plant? And can you tell us where in the world it is growing?