Your school is getting custom mascot t-shirts made for homecoming this year. There is an initial charge of $15 to create the silkscreen. For orders of 50 or fewer shirts, it will cost $19.00 per shirt. For an order of more than 50 but less than 100, the cost is $16.30 per shirt. For orders between 100 and 149, the cost per shirt is $13.40. If you order 150 shirts or more, the cost per shirt is $11.10. Write a piecewise function that gives the cost C for an order of s shirts.
If you order 700 shirts for Homecoming, how much would you need to sell the shirts for in order to break even

The function is given by

Now for 700 shirts n=700

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

44

step-by-step explanation: