The column Balance is an agregated value. This is not something you normally store in a detail-row. Otherwise, whenever you add or update a single row, you will need to update all rows for (in this case) Milton to show the correct balance.
Why not make a table with applications:
CREATE TABLE [Applications] (Apply_ID int, [Name] nvarchar(500), Days_Applied int)
Then create a view for the balance or create a seperate table for the balance.
CREATE VIEW [View_Balance]
select [Name], 12-SUM(Days_Applied) from Applications
Group BY [Name]
Now you can use that view to show the current balance per user. If you choose to have a separate table for the balances, you will need to update that table after each and every insert or update to the table [Applications].