Nouns

(n)boost, encouragementthe act of giving hope or support to someone
(n)rise, boost, hike, cost increasean increase in cost“they asked for a 10% rise in rates”
(n)boostthe act of giving a push“he gave her a boost over the fence”

Verbs

(v)hike, hike up, boostincrease“The landlord hiked up the rents”
(v)boostgive a boost to; be beneficial to“The tax cut will boost the economy”
(v)promote, advance, boost, further, encouragecontribute to the progress or growth of“I am promoting the use of computers in the classroom”
(v)boostpush or shove upward, as if from below or behind“The singer had to be boosted onto the stage by a special contraption”
(v)bump up, boost, advance, superchargeincrease or raise“OPEC bumped up the price of oil”, “boost the voltage in an electrical circuit”