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$6.$ Lincoln Benefit Life offered an orclinary annuity that earned $6\mathrm{.}5\%$ compounded annually. A person plans to make equal annual deposits into this account for $25$ years in order to then make $20$ equal annual withdrawals of $$25,000,$ reducing the balance in the account to zero.

$($A$)$ How much must be deposited annually to accumulate sufficient funds to provide for these payments?

$($B$)$ How much total intorest is earned during this entire $45$ year process?