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Jenna is currently $20$ years old and is planning for her retirement. She plans to retire at age $55,$ and receive an annual benefit payment $($pension$)$ of $$100,000$ for the following $25$ years, i$.$e$.,$ until she is $80.$ If she wants her contributions over

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the next $35$ years to grow at a rate of $5\%$ per year, what must her first contribution $($occurring one year from today$)$ be$?$ Assume a constant interest rate of $8\%.$

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$90,152$

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