$4500 in to the ratio 4:3:2 please help

$2000:$1500:$1000

Step-by-step explanation:

So in order to split $4500 into that proportion, we need to multiply the value by the corresponding ratios to split it properly.

There are 4 + 3 + 2 = 9 total parts to the ratio.

We know that we want the first part of the ratio to be 4/total. So we can say that:

$4500 x 4/9 = $2000. This is the first part of the ratio.

We then know the middle part of the ratio is 3/total. So we can say that:

$4500 x 3/9 = $1500. This is the middle part of the ratio.

Finally, we know that the last part of the ratio is 2/total. So we can say that:

$4500 x 2/9 = $1000. This is the last part of the ratio.

Put it all together, and we get $2000:$1500:$1000.

I hope this helps!

x = -2,  (-1 + √3 i ) / 2  ,   (-1 - √3 i) / 2.

Step-by-step explanation:

x^3 + 3x^2 + 3x + 2 = 0

f(-2) = -8 + 3*4 - 6 + 2

= -8 + 12 - 6 + 2

= 0

So (x + 2) is a factor . Dividing:

            x^2  + x  + 1

x + 2)   x^3 + 3x^2 + 3x + 2

           x^3 + 2x^2

                       x^2 + 3x

                       x^2 + 2x

                                 x + 2

                                  x + 2.

Solving  x^2 + x + 1:

   x  = [ - 1 +/- sqrt(1 - 4*1*1) ] / 2

      =  (-1 + √3 i ) / 2  ,   (-1 - √3 i) / 2.