Please help me with these $3$ questions with detailed steps and explanations.

Q$1)$ You are saving for retirement. To live$$comfortably$,$ you decide you will need to save $$3,000,000$ by the time you are

$65.$ Today is your $31$st $$birthday$,$ and you$$decide$,$ starting today and continuing on every birthday up to and including your $65$th $$birthday$,$ that you will put the same amount into a savings account. If the interest rate is

$9\%,$ how much must you set aside each year to make sure that you will have $$3,000,000$ in the account on your $65$th $$birthday$?$

The amount to deposit each year is $$$ enter your response here

$.($Round to the nearest$$cent$.)$

Q$2).$ Your grandmother bought an annuity from Rock Solid Life Insurance Company for $$360,000$ when she retired. In exchange for the $$360,000,$ Rock Solid will pay her $$50,000$ per year until she dies. The interest rate is $5\%.$ How long must she live after the day she retired to come out ahead$($that is$,$ to get more in value than what she paid$$in$)?$

She must live at least enter your response here years. $($Round up to the nearest$$integer$.)$

Q$3)$ You are thinking of purchasing a house. The house costs $$300,000.$ You have $$43,000$ in cash that you can use as a down payment on the$$house$,$ but you need to borrow the rest of the purchase price. The bank is offering a $30-$year mortgage that requires annual payments and has an interest rate of $10\%$ per year. What will your annual payment be if you sign up for this$$mortgage$?$

The annual payment is $$$

enter your response here

$.($Round to the nearest$$cent$.)$