29.75 devided by 100 times 24 = 7.14 + 29.75 = 36.89
Answer:
ok
Step-by-step explanation:
<h2>
Hello!</h2>
The answer is:
The option that represents the matrix is the option D:
![3x+6y-z=8\\-2x+3y=4\\4x+5y+4z=-2](https://tex.z-dn.net/?f=3x%2B6y-z%3D8%5C%5C-2x%2B3y%3D4%5C%5C4x%2B5y%2B4z%3D-2)
<h2>
Why?</h2>
From the statement we know that the matrix is formed with the information obtained from a system of equations:
Being the values of the first column the values of the variable "x"
Being the values of the second column the values of the variable "y"
Being the values of the third column the values of the variable "z"
Being the values of the fourth column the values of the constant numbers (after the equality)
Knowing that, we are looking for a system equation that contains the following equations:
First equation:
![3x+6y-z=8](https://tex.z-dn.net/?f=3x%2B6y-z%3D8)
Second equation:
![-2x+3y=4](https://tex.z-dn.net/?f=-2x%2B3y%3D4)
Third equation:
![4x+5y+4z=-2](https://tex.z-dn.net/?f=4x%2B5y%2B4z%3D-2)
Hence, we can see that the option that matches with the matrix is the option D.
![3x+6y-z=8\\-2x+3y=4\\4x+5y+4z=-2](https://tex.z-dn.net/?f=3x%2B6y-z%3D8%5C%5C-2x%2B3y%3D4%5C%5C4x%2B5y%2B4z%3D-2)
Have a nice day!
Answer:
Step-by-step explanation:
5. (a)
% increase = (new number - original number) / original number) * 100
= ((39.01 - 33.50) / 33.50) * 100
= (5.51 / 33.50) * 100
= 0.1644 * 100
= 16.44 rounds to 16.4% increase <==
=======================
(b).
total purchase price...he bought 450 shares for 33.50 per share..
450 * 33.50 = $ 15,075 <==
=======================
(c) total selling price...he sold 450 shares for 39.01 per share...
450 * 39.01 = $ 17,554.50 <==
========================
(d) percent capital gain..
% cap gain = (sold for - paid for) / paid for ) * 100
= (17,554.50 - 15,075) / 15,075) * 100
= (2479.50 / 15,075) * 100
= 0.1644 * 100
= 16.4% gain <===