The phrase "account acknowledged" is correct and usable in written English.
It can be used in contexts where you are confirming receipt or recognition of an account or information provided.
Example: "Thank you for your message; your account acknowledged, and we will process your request shortly."
Alternatives: "account received" or "account confirmed".
The American account acknowledged the loss of one tank.
Neither his Twitter account nor GitHub's official account acknowledged the flaw at the time of writing.
The government's @G_Cloud_UK Twitter account acknowledged the problems yesterday, tweeting just before midday: "We know there's still issues with #cloudstore + @mcraddock is working v hard w Gov E-Marketplace team to fix it- will update when fixed".
Father Bucciarelli, who was identified by people familiar with Mrs. Hanssen's account, acknowledged in a brief conversation with reporters from The New York Times this week that he knew Mr. Hanssen in 1980.
The restuarant's Twitter account acknowledged that there was a phone problem.
It used the same basic organisation, procedures, and questionnaire as the fifth census of 2000, but the mode of implementation took into account acknowledged deficiencies of the 2000 census, which led to under-numeration of the population by an estimated 1.8%, mostly in the youngest age groups, resulting in possible inaccuracies in the sex ratio.
The wire service account acknowledges the discrepancy in the records.
In the statement, Mr. Schwarzenegger disputed Ms. Miller's account, acknowledging only that he made "crude comments" about photographs posted in the makeup trailer.
The triple bottom line is just shorthand for saying: take other things into account, acknowledge that profit isn't everything, and don't pursue profit relentlessly, as you would otherwise be inclined to, even at the expense of damage to the environment and infringements of the rights of workers and other stakeholders.
While Trump initially said the Saudis' denial of having any knowledge of what happened to Khashoggi was credible, he then expressed doubts, calling it "the worst coverup ever" after the Saudi government changed its initial account, acknowledging that Khashoggi did die inside the Saudi Consulate, in "fistfight" with "rogue" agents.
It appears that Peacocke's account acknowledges an actualist conception of modality rather than a possibilist conception.
