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Artie is financing a condominium for $313,000. He gets a 30-year, fixed rate mortgage with a rate of 5.275%. How much interest will he pay over the life of his loan?

Respuesta :

310,969 based on a quizlet i found

Answer:

$302956.4

Step-by-step explanation:

Given that:

  • Principle (A): $313,000
  • Number of years: 30 = 30*12 = 360 months
  • Rate of 5.275% = 0.05275 /12 = 0.00434 per month

We need to find out the monthly payment:

[tex]P = A(\frac{i}{1-(1+i)^{-n}})[/tex]

<=> [tex]P = 313000(\frac{0.0043}{1-(1+0.0043)^{-360}})[/tex] = 1710.99

Total payment:

T = nP

T = 360 ×1710.99 = $615969.4

The amount of interest he will pay over the life of his loan is:

I = T – A

= $615969.4 - $313000

= $302956.4