accrue

[uh-kroo]
verb (used without object), accrued, accruing.
1.
to happen or result as a natural growth, addition, etc.
2.
to be added as a matter of periodic gain or advantage, as interest on money.
3.
Law. to become a present and enforceable right or demand.

Origin:
1425–75; late Middle English acruen, acrewen, probably < Anglo-French accru(e), Middle French accreu(e), past participle of ac(c)reistre to increase < Latin accrēscere grow. See ac-, crew1, accretion

accruable, adjective
accruement, noun
nonaccrued, adjective
nonaccruing, adjective
superaccrue, verb (used without object), superaccrued, superaccruing.
unaccrued, adjective


1, 2. accumulate, collect, grow, increase.


1, 2. dwindle, decrease, diminish, lessen, dissipate.
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World English Dictionary
accrue (əˈkruː)
 
vb , -crues, -cruing, -crued
1.  to increase by growth or addition, esp (of capital) to increase by periodic addition of interest
2.  (often foll by to) to fall naturally (to); come into the possession (of); result (for)
3.  law (of a right or demand) to become capable of being enforced
 
[C15: from Old French accreue growth, ultimately from Latin accrēscere to increase, from ad- to, in addition + crēscere to grow]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

accrue
mid-15c., from O.Fr. acreue "growth, increase," from acreu, pp. of acreistre "to increase," from L. accrescere (see accretion).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
The benefits of concluding trade deals are certain and accrue in the short term.
Your data is useless if you don't follow proper protocol to accrue it.
The company's college program will allow workers to accrue credits for training
  at work.
Loyalty programs allow members to accrue points for money spent or trips taken
  with a particular company.
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