MHB What's the best financing option for Mia's used trailer purchase?

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Mia is considering two financing options for her $5,000 used trailer purchase. The dealership credit card offers a 15.8% interest rate with daily compounding and a 2.4% rebate, while the bank loan has a lower 9.8% interest rate with monthly compounding. Calculating the total payments and interest for each option reveals significant differences in costs and repayment duration. The dealership option may lead to higher overall payments despite the initial rebate, while the bank loan offers a more manageable interest rate. Ultimately, Mia needs to evaluate which financing method aligns best with her budget and travel plans.
kaye
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Mia is buying a used trailer for $5000 on credit. She plans to travel
through the Rockies over the summer. She can afford payments of
$200 each month and is considering these two options:

The dealership credit card at 15.8%, compounded daily, and
an immediate rebate of 2.4% off her first purchase

A bank loan at 9.8%, compounded monthly
a)
How much would Mia end up paying, in total, with each option?
b)
How much interest would she pay for each option?
c)
How long will it take her to pay off the balance for each option
 
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