The house you find that would accommodate your growing family costs $295,000. You obtain a 30-year conventional mortgage at 6.75% after paying a down payment of 25% of the purchase price. Of the first month’s payment, how much is interest and how much is applied to principal?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The house you find that would accommodate your growing family costs $295,000. You obtain a 30-year conventional mortgage at 6.75% after paying a down payment of 25% of the purchase price. Of the first month’s payment, how much is interest and how much is applied to principal?

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Step 1: Description of given data:

Loan amountequals $ 295 comma 000 left parenthesis 1 minus 0.25 right parenthesis equals bold $ bold 221250

interest rate per month, i equals fraction numerator 6.75 percent sign over denominator 12 end fraction equals fraction numerator bold 6 bold. bold 75 over denominator bold 1200 end fraction

number of periods in 30 years, n equals 30 cross times 12 equals bold 360

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