you withdrew $47.25 from you checking account. Now your balence is -$23.75 write and solve an equasion to find the amount of money in your account before you withdrew the money

The initial amount in your checking account is $23.5

Step-by-step explanation:

Let the initial amount in your checking account = y

amount withdrew, = $47.25

balance = -$23.75

Forming an equation;

initial amonut minus amount withdrew = balance

y - 47.25 = -23.75

y =  -23.75 + 47.25

y = $23.5

Therefore, the initial amount in your checking account is $23.5

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

step-by-step explanation: