A certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0 What is the center of the circle? What is the radius of the circle?

See below.

Step-by-step explanation:

Recall the equation for a circle:

, where (h,k) is the center and r is the radius.

We need to turn the given equation into the above format. We do this by completing the square.

First, group them:

For the first section, complete the square for :

Do the same for the second:

All together:

The center is (-9,-7).

The radius is

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.