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zmey [24]
3 years ago
8

You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 7% interest.

Mathematics
1 answer:
anyanavicka [17]3 years ago
8 0

9514 1404 393

Answer:

  • loan: $157,823
  • repaid: $378,000
  • interest: $220,177

Step-by-step explanation:

For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...

  A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495

Then the amount repaid after 360 payments is ...

  360A = 2.39508898 . . . times the principal amount

__

a) For a monthly payment of $1050, the principal can be ...

  $1050/0.00665302495 ≈ $157,823

__

b) The amount repaid to the loan company is ...

  $157,823×2.39508898 ≈ $378,000

__

c) The amount that is interest is ...

  $378,000 -157,823 = $220,177

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