In 2010, the population of kingsford was 8000. by 2014 the population had increased by 15% and 2/5 of the population was age 12 or under. how many people in kingsford were age 12 or under in the year 2014?

The answer is: The population age 12 or under was 3680.

If in 2010 the population of Kignsford was 8000, and by 2014 the population had increased by 15% we need to calculate the total population and then, calculate how many people was age 12 or under.

We must remember that we cannot work with percentage values, so, to make 15% a real number, we need to divide it by 100:

So,

Calculating the population by 2014, we have:

Then, substituting we have:

Now, calculating the population that was age 12 or under, knowing that it was 2/5 of the total population, we have:

So, the population age 12 or under was 3680.

Have a nice day!

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)