You invest $7000 in an investment that compounds annually. If you get 8% annual interest, how much will you have in total in 6 years?

560 is 8% of 7k.

Step-by-step explanation: From the Plutoid federal navy. with love

Step-by-step explanation:

So, this means that you get 8% of whatever you had last year added on each year.

So, if it is going to be 6 years

we start at end of year 1

7000 +560 = 7560

end of year 2

7560 + 604.8 = 8164.8

End of year 3

8164.8 + 653.184 = 8,817.984

End of year 4

8,817.984 + 705.43872 = 9,523.42272

End of year 5

9,523.42272 + 761.8738176 = 10,285.2965376

End of year 6

10,285.2965376 + 822.823723008 = 11,108.120260608

Rounded

$11,108.12

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

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right