Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per month and $0.02 per text message. During one month, how many text messages can be sent so that
Awesome Wireless cost greater than or equal to Phones R Us?

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

For Awesome Wireless, we have:

For Awesome Wireless is greater or equal to Phone R-Us, we have:

Collect Like Terms

Solve for S

Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 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: