After watching the local news story on a lady winning $100,000 from the lottery, Timothy and 19 of his co-workers have “lottery fever”. Timothy knows that they do not have a lot of money to waste on tickets. After doing some research, Timothy finds out that the local “7 Eleven” is selling lottery tickets for$2 each. The local Speedway is also selling lottery tickets for $4 each (per ticket). Many reviews have said that Speedway’s tickets have better chance of profit. Part a) Determine how much money the group of coworkers would need if each one of them buys 1 ticket from “7 Eleven".

Part b) Determine how much money the group of coworkers would need if each one of them buys 1 ticket from “Speedway".

Part C) Choose and justify why Timothy and his coworkers should go to either the 7 Eleven or Speedway.

step-by-step explanation:

10.50 + taxes which added up to 11.50

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

a is the right answer