Can I make an application with an automatic response thanking the person who sent it in and that we received it?

I understand that you want to send an email to the person who submitted the form and you want to receive a copy of submission as well. If so, you can setup a notification and autoresponder on the form to achieve your requirement.

https://www.jotform.com/help/25-Setting-up-Email-Notifications

https://www.jotform.com/help/26-Setting-up-an-Autoresponder-Email

Hope this information helps. If you are referring to something different, please let us know. We will be happy to help.