nigel's family is shopping for a new refrigerator. the selling price of the model they are considering is $1,875. nigel researches to find that the markup on that particular model refrigerator is 20%. what is the wholesale cost to the retailer to the nearest cent?

$1,562.50

Step-by-step explanation:

Markup= (selling price- cost)/cost

Let cost be represented by  C

0.20 = (1875-C)/ C

0.20C = 1875 - C

0.20C+ C = 1875

1.20C=1875

Divide both sides by 1.20;

C= 1875/1.20

C= $1,562.50

The wholesale cost was $1,562.50

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