SQL Query Exists or Count Join

Hello all,

I have a CTE that has three fields in the table:

CTE Table:  Customer C
CustomerId, StartDate and EndDate

I then need to check if I have at least one record in a many table based on if the StartDate and EndDate is between two dates where the CustomerId = CustomerId.

Many Table:    CustomerAccounts CA
CustomerId, AcctNumber, StartDate, EndDate

I want to check the CustomerAccounts table for at least one record return WHERE C.CustomerId = CA.CustomerId AND
(CA.StartDate BETWEEN C.StartDate AND C.EndDate) AND (CA.EndDate BETWEEN C.StartDate AND C.EndDate)

How can I do this with a Exists or whatever way is best.  The result set returned should have the records from the Customer table only.