A house on the market was valued at $295,000. After several years, the value increased by 8%. By how much did the house's value increase in dollars? What is the current value of the house?

$23,600. ; $318,600

Step-by-step explanation:

From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.

The value of the increase will be 8% of $295,000. This can be mathematically written as:

= 8% of $295,000

= 8/100 × $295,000

= 0.08 × $295,000

= $23,600

The current value of the house will be:

= $295,000 + $23,600

= $318,600

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

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