Find the amount A accumulated after investing $4800 for 17 years at an interest rate 6.2% compounded quarterly.

A = $13,660.81

Step-by-step explanation:

P (principal) = $4,800.00

I (interest) = $8,860.81

First, convert R as a percent to r as a decimal

r = R/100

r = 6.2/100

r = 0.062 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 4,800.00(1 + 0.062/4)(4)(17)

A = 4,800.00(1 + 0.0155)(68)

A = $13,660.81

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

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: