he model t = 16.625 ln (x/x-750), x > 750 approximates the length of a home mortgage of $150,000 at 6% in terms of the monthly payment. In the model, t is the length of the mortgage in years and x is the monthly payment in dollars. b)Approximate the total amounts paid over the term of the mortgage with a monthly payment of $897.72 and with a monthly payment of $1,692.39. (Round your answers to two decimal places.) $897.72     $  $1,692.39     $

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The model

t = 16.625 ln (x/x-750), x > 750

approximates the length of a home mortgage of $150,000 at 6% in terms of the monthly payment. In the model, t is the length of the mortgage in years and x is the monthly payment in dollars.

b)Approximate the total amounts paid over the term of the mortgage with a monthly payment of $897.72 and with a monthly payment of $1,692.39. (Round your answers to two decimal places.)

$897.72    
$1,692.39    

What amount of the total is interest costs over the term of the mortgage for a monthly payment of $897.72 and for a monthly payment of $1,692.39? (Round your answers to two decimal places.)

$897.72    
$1,692.39    

(c) What is the vertical asymptote for the model?

 
Interpret its meaning in the context of the problem.
The monthly payment must be more  than $______________  , and the closer to this value the payment is, the longer it will take you will be able  to pay off the mortgage.
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