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The State University is considering funding options for a new engineering building on campus. The money has been raised for the construction costs and now

The State University is considering funding options for a new engineering building on campus. The money has been raised for the construction costs and now the focus is raising funds for the annual upkeep and maintenance (U&M) expenses. For this building, contractors will be hired with a series of 3-year agreements over the 30 years. Under each contract the university will pay $125,000 at the beginning of each 3-year agreement to cover all U&M building expenses over that 3-year period. The first 3-year agreement begins when the building opens. A wealthy alumnus has agreed to donate enough at the buildings opening to cover the U&M expenses over the 30-year term. If money invested by the schools engineering foundation earns 6% interest compounded quarterly, how much must be donated?

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