From what you have provided, it appears you have two email account. If this is the case simple configure each account separately and under the account settings tab set the business account as the primary so you can send as that account.

If you are using the same account, meaning you have a user alias, just simply place the business name as there primary SMTP address by creating a separate email account for it.

Both scenarios will generate two separate email folder hierarchies.

Hope this was helpful.