How much is the lottery really worth? you have to be careful about money. lottery winners sometimes think they are millionaires when in fact they are not as rich as they think. suppose a state runs a lottery in which the grand prize is $1 million dollars. what that means is that the winner is paid $1 million dollars continuously over the next 20 years. assuming that banks pay interest of 10% on borrowed money over the next 20 years, how much is the lottery worth in today's dollars? hint: letting t denote time in years, first solve s' = 0.10s - 50,000, s(0) = so, and then set s(20) 0 and solve for so

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0