Raquel wants to create a scholarship fund by saving for several years before the fund starts making annual scholarship payments forever. She plans to save $$89,600\mathrm{.}00$ per year for $7$ years. Her first savings contribution is expected in $1$ year. How much can the fund be expected to provide each year for scholarships if the fund is expected to earn $9\mathrm{.}92$ percent per year, make equal scholarship payments forever, and make its first scholarship payment in $8$ years?

$$68,440\mathrm{.}48($plus or minus $10$ dollars$)$

$$92,462\mathrm{.}61($plus or minus $10$ dollars$)$

$$84,118\mathrm{.}09($plus or minus $10$ dollars$)$

$$75,229\mathrm{.}77($plus or minus $10$ dollars$)$

none of the answers are within $10$ dollars of the correct answer