Answer:
D
Step-by-step explanation:
First, find the coordinates of pointD if A(2,-6), B(10,2) and point D divides line segment AB in the ratio of 5:3.
If point D divides the segment AB in the ratio m:n, then

So

Point C has the x-coordinate the same as point A and the y-coordinate the same as point D.
Thus, C(2,-1)
Answer:

Step-by-step explanation:
Consider the selling of the units positive earning and the purchasing of the units negative earning.
<h3>Case-1:</h3>
- Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
- Mr.A earns Rs6000
So, the equation would be

<h3>Case-2:</h3>
- Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
- Mr B neither lose nor gain meaning he has made 0₹
hence,

<h3>Case-3:</h3>
- Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
- Mr.C earns 13000₹
therefore,

Thus our system of equations is

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>
we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

Now solve the equation accordingly:

Solving the equation for x and y yields:

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437
Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.
<h3>What is the monthly payment formula?</h3>
It is given by:

In which:
- n is the number of payments.
In this problem, the parameters are given as follows:
P = 500000, r = 0.123, n = 12 x 10 = 120.
Hence:
r/12 = 0.123/12 = 0.01025.
Then, the monthly payments will be of:


A = 7260.50.
More can be learned about the monthly payment formula at brainly.com/question/26267630
#SPJ1