The local Audubon Society has just put a new bird feeder in the park at a cost

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The local Audubon Society has just put a new bird feeder in the park at a cost of $500. The feeder has a useful life of 5 years and an annual maintenance cost of $50. Our cat, Fred, was very impressed with the project. He wants to establish a fund that will maintain the feeder in perpetuity (that's forever!). Replacement feeders cost $500 every 5 years. If the fund will earn 5% interest, what amount must he raise for its establishment? Note that both maintenance and replacement costs following the initial investment must be covered.

Perpetuity
Perpetuity refers to payments that are made without an end or maturity date. A perpetuity is classified as an annuity, which is something that earns a dividend or receives a payment at a regularly scheduled interval, generally yearly. So, how...
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