Without a word to go by, it could be any of several words that are synonyms, but also have specific applications.
deliberately - on purpose
willfully - on purpose, by your choice
intentionally - on purpose, knowing what would happen
Yes.
to spell check your answer
Purposes
The adverb is spelled accidentally (not on purpose).
To learn how to spell 'purpose' correctly, perhaps?
The business's main purpose.
spell it out - there is more than one ADEA
The business's main purpose.
The spell diffindo splits seams and bindings (spine in a book, bottom of a bag)
The word is spelled "accidentally" (not on purpose, inadvertently).
The correct spelling of the adjective is intentional (on purpose, deliberate).
The likely adverb may beexcellently - well, superblyaccidentally - not on purpose