6) Jesse is buying a home for $450,000 at 7.8% interest and Jesse is putting 30% down? He wishes to buy 3 points what is the cost of the points?

$9450

Step-by-step explanation:

Given that:

The price of the home = $450000

The interest = 7.8%

Down payment = 30% of price of the home

i.e 0.3 × 450000 = 135000

The principal outstanding balance = 450000 - 135000

= 315000

Finally, the cost of 3 points will be;

= $9450

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)