Lori was paid a 15 percent commission for the home audio system that she sold. the electronics store had marked up the price of the system by 60 percent over the wholesale price of $264. how much did lori earn for the sale of the home audio system? $15.84 $23.76 $39.60 $63.36

The wholesale price of the home audio system is = $264

The electronics store had marked up the price of the system by = 60%

So, the additional price becomes= = $158.40

Total price of the audio system now becomes = 264+158.40 = $422.40

As Lori was paid commission of = 15% on 422.40, so her commission becomes =

= $63.36

Hence, option D is correct.

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)