Afull-time employee who works 40 hours per week earns $22.50 per hour. estimate that person's income. round 52 weeks to 50 weeks per year, and round the hourly wage to the nearest dollar for the estimate. what is the estimated of annual income?

less than the actual

Step-by-step explanation:

Weekly hours of work of employee = 40 hours

hourly income of employee = ≅

Weekly earning of employee =

Income for 52 weeks =

Income for 50 weeks =

Estimate =

∴ Estimated income of employee is less than the actual

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