The online application said up to two weeks to hear by mail, the confirming we got your application said
Your credit card application has been received and we will be sending you a response via U.S. Mail within 15 to 30 days. In the meantime, please refrain from submitting any additional applications. We will only be able to consider your first application.
so I figure around this time next month I'll start wondering, by which time I will have totally forgotten about it.