Credit score question?

my question is, let's say I have 2 credit cards, 1 master with limit 5K, 1 amex with limit 10K and let's say I have balance of 4K in first one and balance of 9K in second then 1- in this case my credit score will goes down Big Time? right? because I owe close to limit. what is the formula for that? second question is let's say Today I pay off 2K and 6K now in Mastercard I have balance of 2K left and on Amex balance of 3K, below %50 limit which now my credit score will goes up? After one month it goes up? When exactly all 3 Berua gets updated? Then after that I should be in much better score? How much? Is that then the best time to ask for new credit card or loan?