Discounted payback period of this proposed investment

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A 2,000 square foot house in Delaware costs $1725 to heat each winter with the existing oil burning furnace inside the home. For an investment of $5,000, a natural gas furnace can be installed, and the winter heating bill is estimated to decrease to $1,000. If the homeowner’s MARR is 6% per year, what is the discounted payback period of this proposed investment?

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