Write both relational algebra expression for each of the following queries.

Branch(branch_name, branch_city, assets)

Customer(customer_name, customer_street, customer_city)

Loan(loan_number, branch_name, amount)

Borrower(customer_name, loan_number)

Account(account_number, branch_name, balance)

Depositor(customer_name, account_number)

1. Find the names of branches with customers who have an account in the bank and who lives in "Harrison".

2. List all branches whose average account balances are more than $10,000.

3. Find all the customers of the bank who have an account but not a loan.

4. Find out the total sum of all loan amounts in the bank.

5. List the names of all branches that have assets greater than those of at least one branch located in "Brooklyn".