3. Suppose the equations E(n) = 4000 + 500n and G(n) = 10,000+ 150n give the total cost of operating an electrical (E) versus a gas (G) heating/cooling system in a home for n years. (a) For E(n), what do the 4000 and 500 represent? (b) Find the cost of heating a home using electricity for 25 years. (c) Find the cost of heating a home using gas for 25 years. (d) Find the initial (or installation) cost for the gas system. (e) Determine how many years it will take before $21,000 has been spent in heat- ing/cooling a home that uses: i. Electricity (Show how you solved this) 101 NO ii. Gas (Show how you solved this) othe diw) M 16 ID S

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