Naomi got email inviting her friend to join a fan club for her favorite singer the fan club cost 7.50 a week she decided not to join how much did she saved after a year

There are 52 weeks in a year. Since Naomi decided not to join the fan club, she saved $7.50 for each of these weeks.

So, she saved a total of $7.50 x 52 = $<<7.50*52=390>>390 after a year. Answer: \boxed{390}.