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Mathematics 7 Online
OpenStudy (pphalke):

Find the total monthly payment for a $205.00 mortgage loan at 5.25% for 20 years. The assessed value of the home is $240,000. The annual taxes on the home are 1.25% of the assessed value, and the insurance on the home costs $450 per year

OpenStudy (phi):

*** $205.00 mortgage*** is that a typo ? is it 205,000 or is it a monthly payment ?

OpenStudy (pphalke):

oops its $205,000

OpenStudy (pphalke):

@phi I corrected it its $205,000

OpenStudy (phi):

ok. we need the formula to find the monthly payment. do you know it?

OpenStudy (pphalke):

I don't think so

OpenStudy (pphalke):

M = P(1+r)n r / [(1+r)n-1] is it this formula

OpenStudy (phi):

yes that looks like it. We need to replace the letters with numbers (from the problem) r is the monthly interest rate (divide the given rate by 12)

OpenStudy (phi):

can you figure out what numbers to use in that formula ?

OpenStudy (pphalke):

I don't know I do know the payment is one number but cant think of the rest

OpenStudy (phi):

payment is what we are trying to find (they call it M) n is the number of payments. if you have a loan for 20 years, and 1 payment per month, any idea how many payments that is ?

OpenStudy (pphalke):

no idea

OpenStudy (phi):

what if the loan was for 1 year and you paid one per month ? how many payments is that ?

OpenStudy (pphalke):

I am clueless

OpenStudy (wolf1728):

Here's the formula:

OpenStudy (pphalke):

how do I plug the numbers in?

OpenStudy (wolf1728):

It seems I worked on a similar problem a little while ago. It seems we first have to calculate the taxes and insurance and add those into the mortgage total.

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