Use the discriminant to determine the number of real solutions to the equation. −8m^2+2m=0

discriminant is b²-4ac

= 2²-4(-8)(0)

= 0

one solution

hope this helps :)

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation:

the monthly balance will be $75,000