What statement of limits on a monarch's power did charles i agree to in 1628?

The Petition of Right.

Explanation:

In 1628, the English Parliament sent a statement of civil liberties, known as Petition of Right, to Charles I. Parliament disapproved of king's foreign policy and refused to finance it, as it made the government exact forced loans. Forced loans were non-parliamentary taxes, demanded by the English monarchs from richer subjects. The forced loan of 1626 was, for example, levied on all taxpayers. It was an attempt to bypass the Parliament.

Restrictions on non-parliamentary taxes, forced soldiers billeting, imprisonment without cause, and the use of martial law are all included in the Petition.

the answer to your question is:

strong-mayor system

in his book, the riddle of the rosetta stone, james giblin talks about how there was a young british polymath and physician named thomas young who made a lot of advances on the deciphering of the rosetta stone. he says that even though young made a lot of mistakes because he was working under false assumptions, he also made huge contributions like deciphering three out of the seven symbols (more than anyone else before him). young published his findings and continued his good work but he wasn't able to progress much further due to some unfavorable situations, he still laid the basis for many other scholars and of course for the man who has been generally known to have deciphered it, jean-françois champollion