Todd foley is applying for a $98,000 mortgage. he can get a $651 monthly payment for principal and interest and no points, or a $541 monthly payment with 2.075 points. approximately, how many months will it take todd to cover the cost of the discount points if he takes the lower monthly payment? (round your answer to the nearest whole month.)

  18 months

Step-by-step explanation:

The difference in payments is $651 -541 = $110 per month. The cost of the points is ...

  $98,000 × 0.02075 = $2033.50

So, it will take $2033.50/($110/mo) ≈ 18.48 mo to make up the cost.

It will take Todd 18 months to cover the cost of the discount points.

Comment on rounding

The question asks for the answer to be rounded to the nearest whole month. Since the quotient is about 18.486, this rounds to 18. After 18 months, the cost of the points is not quite covered. $53.50 remains to be covered. It isn't until Todd's 19th payment that the cost of points has been fully covered. For "break even" problems such as this one, I prefer to round to the next higher integer, rather than the nearest integer.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl