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sanderson offering 500$ cash back in any purchace, while bill luke is offering 1000$ cash back. the tax rate is 5% at sabderson but 8% at bill luke. be ky want to buy a car thag is 15,000 and michelle us planning to buy a car thag costs 20,000. which dealership offers becky the best deal and why? which dealership offers michelle the best deal and why?

User Launcelot
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Becky is buying car worth 15,000

At Sanderson, the net cost of buying the car with a tax of 5% and a cash back of $500 will be = 15,000*1.05 -500 = 15,250

At Bill luke, the net cost of buying the car with a tax of 8% and a cash back of $1000 will be = 15,000*1.08 -1000 = 15,200

So, Bill luke dealership offers Becky the best deal since the net price is $50 lower than that at Sanderson dealership

Michelle wants to buy a car worth 20,000

At Sanderson, the net cost of buying the car with a tax of 5% and a cash back of $500 will be = 20,000*1.05-500 = 20,500

At Bill luke, the net cost of buying the car with a tax of 8% and a cash back of $1000 will be = 20,000*1.08-1000 = 20,600

So, Sanderson dealership offers Michelle the best deal since the net price is $100 lower than that at Bill luke dealership

User CatShoes
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