Starting next year, you will need $$30,000$ annually for $4$ years to complete your education. $($One year from today you will withdraw

the first $$30,000.)$ Your uncle deposits an amount today in a bank paying $6\%$ annual interest, which will provide the needed $$30,000$

payments.

a$.$ How large must the deposit be$?$ Do not round intermediate calculations. Round your answer to the nearest cent.

$

b$.$ How much will be in the account immediately after you make the first withdrawal? Do not round intermediate calculations. Round

your answer to the nearest cent.

$