Trudy is $35$ years old and is considering investing $$2,000$ per year in a savings account at $8\%,$ or $$2,000$ per year in an RRSP at $8\%,($both annual interest and ordinary annuities$).$ The money will be invested for the next $30$ years and will not be withdrawn until Trudy retires at the age of $65.$ Trudy pays $35\%$ tax on ordinary income. Which of the following is correct? $($Round your future value annuity factor to $3$ decimal places.$)$

Multiple Choice

Trudy will have $$9,736$ more if she chooses the RRSP$.$

Trudy will have $$19,320$ more if she chooses the RRSP$.$

Trudy will save more if she chooses the savings account.

Trudy will earn the same amount of income under both choices.