Thanks, reborg, for you quick reply,

I think I wasn't clear enough.

This is the code I wrote:

#!/bin/sh
HOME=/home/mvo
PATH=/home/mvo/bin:/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games

echo -------------------------------------------- >> /home/mvo/backuplog
echo Backup Started `date` >> /home/mvo/backuplog
cd /

if [ -d /home/backups/`date +%w`/ ] ; then
   rm /home/backups/`date +%w`/backup.tar.gz
   echo Overwriting Day `date +%w` starting now.. >> /home/mvo/backuplog
else
   mkdir /home/backups/`date +%w`/
fi

mkdir /home/backups/tmp
mysqldump -u Username -pPassword Databasename | gzip > /home/backups/tmp/mysqldump.sql.dump.gz
echo Database Backup Complete.. >> /home/mvo/backuplog

cp -Rf /var/www /home/backups/tmp
cp -Rf /home/groupoffice /home/backups/tmp
tar czvf /home/backups/`date +%w`/backup.tar.gz /home/backups/tmp
rm -Rf /home/backups/tmp
echo GroupOffice Backup Complete.. >> /home/mvo/backuplog

echo Backup Completed `date` >> /home/mvo/backuplog