Fix Joomla Captcha / Contact Form

Hi there! All we need is for a Joomla expert to fix our website contact form / captcha. It is currently broken.

Go to http://artifex7.com/ and try to send a "test submission" on the right hand column. Is there a better way to handle spam without using a captcha? Or is there a better more efficient way to handle spam submissions on contact forms nowadays?

Can you please give me an estimate of how much this would cost to fix? Thank you!