Javier wants to invest $3,000 in a mutual fund. He finds an international
fund that earns 6% per year. The following function equation represents
the account balance for Javier's mutual fund over time:
(1) = 3,000(1.06)^t

A) Complete the table of values. Make sure all cells are filled in correctly. Use the
given independent variable values. Round all dependent values to the nearest
tenth.

I get numbers that are to big for my graph. The graph is 1,000-20,000.

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)

6.25 grams

step-by-step explanation: