2. The state lottery offers to pay winnings in 25 annual payments or one lump sum, sometimes called a cash-out option. This week’s lottery has a jackpot of $30 million and a cash-out value of $18.2 million. Granted that the odds are highly unlikely one would win, which option should a winner take—annual payments or a lump sum? Why?

the answer is 175.4379

step-by-step explanation:

hello from mrbilldoesmath!

answer:

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

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

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

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

they would have to work 32 hours.