Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter. Reject the extraneous solution.

21

ctto JBarnum

Step-by-step explanation:

P+11=(1/2)(P-13)^2

P+11=(1/2)(P^2-26p+169)

2(P+11)=(1/2)(2)(P^2-26p+169)

2P+22=P^2-26p+169

0=P^2-28p+147      ( -7 and -21)

(P-7)(P-21)=0

P=7,21                     (cant be 7 as 13 years from 7 is negative so peter is 21)

checking:

21+11=32

32=(1/2)(21-13)^2

32=(1/2)(8)^2

32=(1/2)64

32=32

correct

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:

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1