PLEASE PLEASSEE HELP ME$!!!!$ IVE SPENT $5$ HOURS ON IT$!!!$ STILL WRONG!!!! PLEASE HELP ME WITH PART A AND B$!!!!!$

You deposit $$2,000$ at the end of the year $(k=0)$ into an account that pays interest at a rate of $6\%$

compounded annually. A year after your deposit, the savings account interest rate changes to $12\%$

nominal interest compounded monthly. Five years after your deposit, the savings account again

changes its interest rate; this time the interest rate becomes $8\%$ nominal interest compounded

quarterly. Nine years after your deposit, the saving account changes its rate once more to $5\%$

compounded annually.

a$.$ How much money should be in the savings account $14$ years after the initial deposit, assuming no

further changes in the account's interest rate?

b$.$ What interest rate, compounded annually, is equivalent to the interest pattern of the saving account

in Part $($a$)$ over the entire $14$ year period?

a$.$ $ should be in the savings account $14$ years after the initial deposit. $($Round to the

nearest dollar.$)$