Consider a swimming pool that initially contains 200 gallons of water. water is added to the pool using a 40 gallon bucket, one full bucket every minute.
(a) write an equation for the difference w(n+1)âw(n), which models this situation, where w(n) is the amount of water gallons as function of the number of minutes.
(b) write the initial condition for the differentce equation above. w(0)=

(a) W(n+1) = W(n) + 40

(b) W(0) = 200

Step-by-step explanation:

(a) Since for every minute, a full 40 gallon bucket is poured into the swimming pool, this means in the following minute the pool has 40 gallon more water than the current time

Therefore W(n+1) = W(n) + 40

(b) Initially the pool contains 200 gallons of water. So the initial condition for the difference equation is

W(0) = 200

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:

damm bro the struggle

step-by-step explanation: