34. A MasterCard statement shows a balance of $510 at 13.9% compounded monthly. What monthly payment will pay off this debt in 1 year 4 months? (Round your answer to the nearest cent.)

Respuesta :

Answer:

The monthly payment is $35.10.

Step-by-step explanation:

p = 510

r = [tex]13.9/12/100=0.011583[/tex]

n = [tex]12+4=16[/tex]

The EMI formula is :

[tex]\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

Now putting the values in formula we get;

[tex]\frac{510\times0.011583\times(1+0.011583)^{16} }{(1+0.011583)^{16}-1 }[/tex]

=> [tex]\frac{510\times0.011583\times(1.011583)^{16} }{(1.011583)^{16}-1 }[/tex]

= $35.10

Therefore, the monthly payment is $35.10.