Correct spelling, explanation: accept has to be spelled with two c’s because of two reasons. First is the etymology – accept is borrowed from the Latin acceptare, which is the first suggestion for the spelling with double c. The second reason is based on the pronunciation: because the letter is doubled, the first c is pronounced as k and the second c is read as s, and the double c in accept is the graphic representation of that.

Definition of accept:
verb
1. to give consent to something
Before I could use the website I had to accept the terms of service.
2. to consider something correct or proper
It took me some time but in the end, I learned to accept living with a dog.

Idioms with accept:
to accept something as something – to agree to consider one thing another, sometimes as payment or as a function
I accepted the cake as a form of apology for the last argument.
When I was a child I used to accept the existence of unicorns as a fact.

Incorrect spelling, explanation: acept is an incorrect spelling. Besides the fact this word does not trace back to the roots of the word (acceptare is spelled with two c’s), there is a more practical issue: accept has to be written with cc, because when you pronounce it, you read cc as ks. If there is only one c, however, the pronunciation is completely changed and it’s read as s.

Incorrect spelling

Incorrect spelling