From BiblePortal Wikipedia

King James Dictionary [1]

Accept'Able, a.

1. That may be received with pleasure hence pleasing to a receiver gratifying as an acceptable present. 2. Agreeable or pleasing in person as, a man makes himself acceptable by his services or civilities.

Webster's Dictionary [2]

(a.) Capable, worthy, or sure of being accepted or received with pleasure; pleasing to a receiver; gratifying; agreeable; welcome; as, an acceptable present, one acceptable to us.