Marty moses purchased a two year membership at a local fitness center. he paid $475. what will be his cost per visit if he uses the facility once a week, twice a week, five times a week?

$ 4.57 once a week,

$ 2.29 twice a week,

$ 0.91 five times a week.

Step-by-step explanation:

Given,

The total payment for 2 years = $ 475,

⇒ Total payment for 1 year =

If the payment is paid once a week,

Then, the cost per visit

   ( 1 year = 52 weeks )

If the payment is paid twice a week,

Then, the cost per visit

If the payment is paid five times a week,

Then, the cost per visit

   ( 1 year = 52 weeks )

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

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: