A student decided to start saving money. On the first day he saved 1 cent, on the second day an additional 2 cents, on the third day he saved an additional 4 cents. Each day he doubled the amount he saved the previous day. How much would he have saved total on day 20 (in dollars)?'

$ 524.288

Step-by-step explanation:

We will use the sum of a geometric series;

S = (first term)(1-r^n)/(1-r)

= 1(1 - 2^n) / (1 - 2)

= - (1 - 2^n)

= 2^n - 1

2 ^ (20 – 1)

2 ^ 19

= 524,288 cents

100 cents =  1 dollar

524,288 cents = 524,288/ 100 dollars

= $ 524.288

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: