Given points A(3, -5) and B(19, -1), find the coordinates of point C that sit 3/8 of the way along line AB, closer to A than to B.

Given points A(3, -5) and B(19, -1), find the coordinates of point C such that CB/AC = 1/7.

1) C (9,-3.5)

2) C (17,-1.5)

Step-by-step explanation:

1)

To solve this problem, we must divide the segment AB into 8 equal intervals, and then find the point sitting at 3/8 of the whole segment.

The end points of the segment in this problem are:

and

This means that the x- and y-coordinates of point C are given by the equations:

And substituting the values of the coordinates of A and B, we find:

2)

In this problem, we want to find the coordinates of point C such that:

(1)

As before, the coordinates of the endpoints of the segment AB are:

and

We can call the coordinates of point C as follows:

To satisfy eq.(1) for the x-coordinate, we have:

Therefore, by substitution we find:

Similarly on the y-coordinate we find:

And solving we get:

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.