Q: Appstore updates doesn't go away after downloading. Ios7

Try to reset the device:

*Device reset*

Device Reset (won't affect settings/data/music/apps/etc)

1. Press and hold (& continue to hold) BOTH the Sleep/Wake button & the Home button.

2. Continue to hold BOTH (ignoring any other messages that may show) until you see the Apple logo on the screen.

3. Release BOTH buttons when you see the Apple logo and allow the device to boot normally.

Try This: http://support.apple.com/kb/HT1734?viewlocale=en_US&locale=en_US

see if this helps. -Will