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A MasterCard statement shows a balance of $550 at 13.4% compounded monthly. What monthly payment will...

A MasterCard statement shows a balance of $550 at 13.4% compounded monthly. What monthly payment will pay off this debt in 1 year 7 months? (Round your answer to the nearest cent.)

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Answer :

Balance of MasterCard statement is $550

Interest rate is 13.4% compounded monthly

Number of months = 19 (1 year 7 months)

Rate = 13.4% / 12 =0.011166667

Nper = 19

Calculate the monthly payment by using formula

Annuity present value = C x {1-[1/(1+r)^t]}/r

$550 = C x {1-[1/(1.011167)^19}/0.011167

$550 = C x 17.03449

C x 17.03449 = $550

C = $550 / 17.03449

C =$ 32.29.

Therefore, the monthly payment is $32.29.

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