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10 The Langways purchase a new home for $350,000. The pay 25% down and finance the rest through a 30-year mortgage at an annu

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Answer #1

Cost of Home = $350,000

Down Payment = 25% * $350,000
Down Payment = $87,500

Amount Borrowed = Cost of Home - Down Payment
Amount Borrowed = $350,000 - $87,500
Amount Borrowed = $262,500

Annual Interest Rate = 3.75%
Monthly Interest Rate = 0.3125%

Period = 30 years or 360 months

Let Monthly Payment be $x

$262,500 = $x/1.003125 + $x/1.003125^2 + … + $x/1.003125^359 + $x/1.003125^360
$262,500 = $x * (1 - (1/1.003125)^360) / 0.003125
$262,500 = $x * 215.9288131
$x = $1,215.68

Monthly Payment = $1,215.68

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