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Carson is planning to buy and install new tires and rims on his car. The cost is $1150,

which he will use credit to pay. He wants to pay off the loan in 6 months and has two

credit options

• The tire shop has financing at 16.8%, compounded monthly, and is offering a $100

immediate rebate

• Carson’s existing credit card has a zero balance and a rate of 14.6% compounded daily.

 

a) What are the monthly payments? Which option requires lower payments?

 

b) What is the interest for each option? Which option will charge less interest?

 

c) What is the total cost for each option? Which option will cost him less overall?

 Jan 28, 2022
 #1
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a) Finance option: The monthly payments will be==$183.67

     Credit card option: The monthly payments will be: $199.96

 

b) Finance option: [183.67 x 6 months - 1,150 - 100 credit]==$52.02 - interest charge.

     Credit card option: [199.96  x  6 months - 1,150 ]==$49.76 - interest charge.

 

c) Finance option will cost him: 183.67 x 6 ==$1,102.02 - total cost

    Credit card option will cost him: 199.96 x 6 ==$1,199.76 - total cost

 

Conclusion: Finance option is a better deal because he gets $100 credit up front.

 Jan 28, 2022
 #2
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thank u so much that u helped me out, u really made my day😁

Timothy16  Jan 28, 2022

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