Mathematics
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OpenStudy (anonymous):
Mortgage Exam Practice Help .
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OpenStudy (anonymous):
ganeshie8 (ganeshie8):
house costs him \($185,500\)
ganeshie8 (ganeshie8):
since he is making \(15\%\) down payment,
he will be borrowing the remaining \(85\%\) from bank
ganeshie8 (ganeshie8):
so simply take \(85\%\) of the house cost
OpenStudy (anonymous):
$157,675?
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ganeshie8 (ganeshie8):
yes, thats the mortgage amount he will be borrowing !
OpenStudy (anonymous):
how would I find out based on the information I showed if he can afford that loan ?
OpenStudy (anonymous):
or sorry not the loan but the mortgage
ganeshie8 (ganeshie8):
calculate his monthly payment
ganeshie8 (ganeshie8):
he is going to take $157,675 loan,
and he pays it back in 25 years at 4.25 % interest rate
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ganeshie8 (ganeshie8):
look at the chart,
whats the monthly payment for $1000 for him ?
ganeshie8 (ganeshie8):
btw, the shown chart is giving monthly payment for $1000 for different options
OpenStudy (anonymous):
5.417 per thousand ?
ganeshie8 (ganeshie8):
Correct !
so, per month - he needs to pay 5.417 per every thousand
ganeshie8 (ganeshie8):
so, total monthly payment = \(\large 157,675 \times \frac{5.417}{1000} = ?\)
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OpenStudy (anonymous):
So to find the payment I would multiply 5.417 by 157.675 ?
ganeshie8 (ganeshie8):
yes u wud multiply 5.417
and divide 1000 also
ganeshie8 (ganeshie8):
^^
ganeshie8 (ganeshie8):
wat do u get ?
OpenStudy (anonymous):
$854.13
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ganeshie8 (ganeshie8):
correct thats his monthly payment
ganeshie8 (ganeshie8):
how much he will be paying per year ?
OpenStudy (anonymous):
$10,249.51 ?
ganeshie8 (ganeshie8):
yes,
can he afford to pay that much amount every year ?
ganeshie8 (ganeshie8):
whats his income ?
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OpenStudy (anonymous):
$84,482 annually
ganeshie8 (ganeshie8):
can he afford to pay the payments ?
OpenStudy (anonymous):
No , I wouldn't think so .
ganeshie8 (ganeshie8):
why not ?
ganeshie8 (ganeshie8):
he is earning $84,482 yearly
cant he make a $10,249.51 payment ?
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OpenStudy (anonymous):
ohhhh right . okay . yeah :P
ganeshie8 (ganeshie8):
loan is a DEBT,
he needs to pay it....
ganeshie8 (ganeshie8):
he borrowed money to purchase home
ganeshie8 (ganeshie8):
the builder took the "loan money" from bank, and gave the house to Victor.
ganeshie8 (ganeshie8):
Victor is left wid a "house" and a "loan to pay"
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ganeshie8 (ganeshie8):
thats the story, okay ?
ganeshie8 (ganeshie8):
Victor doesnt get any money from bank,
Money goes to whoever is selling the house.
After the sale,
Victor gets a "house" + "mortgage bill to pay"
OpenStudy (anonymous):
Oh ok that makes sense . So then is the total amount payed for the house $185,500?
ganeshie8 (ganeshie8):
no ways !
ganeshie8 (ganeshie8):
remember he is paying 4.25% on the balance amount...
so the total cost of house will be way more than $185,000
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ganeshie8 (ganeshie8):
total cost of home = (annual payment) * (number of years)
ganeshie8 (ganeshie8):
= $10,249.51 * 25
ganeshie8 (ganeshie8):
right ?
OpenStudy (anonymous):
Thats what I thought .
ganeshie8 (ganeshie8):
ofcourse you need to add the initial 15% down payment also
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ganeshie8 (ganeshie8):
so total cost of house = (15% of 185,500) + $10,249.51 * 25
ganeshie8 (ganeshie8):
does that make sense ha
OpenStudy (anonymous):
$284,062.75 ?
ganeshie8 (ganeshie8):
correct !! thats the total money he wud be paying in 25 years for the house
OpenStudy (anonymous):
Okay and lastly . Concerning the amount he took out in a loan ..does $167,529.69 seem right for interest ? Interest= P x R x T
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ganeshie8 (ganeshie8):
he took 85% amount as loan right ?
ganeshie8 (ganeshie8):
so he pays interest for the same over 25 years
ganeshie8 (ganeshie8):
interest paid = ($10,249.51 * 25) - (85 % of $185,500)
OpenStudy (anonymous):
so then $98,550
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ganeshie8 (ganeshie8):
wolfram says $98,562.75