Sheila works at a fine jewelry store and earns a commission on her total sales for the week. She earned $900 in commission this week. She sold $23,000 worth of jewelry to earn that commission. Express her rate of commissions a percent.

100%

Step-by-step explanation:

its asking how many commissions she makes just in percentage. Hope this helps

3.913%

Step-by-step explanation:

We are given that Sheila earned is commission $900 for selling $23,000 worth of jewelry, and we are asked to find the rate of her commissions as a percent.

The rate of commissions would basically just be what percent of the money made does she get. Since Sheila sold $23,000 worth of jewelry and got $900 for doing so, her rate of commission would be:

900 ÷ 23,000 ≈ 0.03913

Which expressed as a percent is:

3.913%

So her rate of commissions would be 3.913%.

I hope you find my answer to be helpful. Happy studying.

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