The provided function is:
P = 0.04x + 0.05y + 0.06(16-x-y)
To determine the function's value at each vertex, simply plug in the respective x and y coordinates into the equation to find the value of P as shown below:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79
2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67
3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84
4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76
I hope this is useful:)
Answer:
new rent = $1,607.35
Explanation:
Let's consider the original rent as x
Given that the increase in rent is 3.7%.
Thus:
new rent = x + 3.7% of x
new rent = x + 0.037 x
With x = 1550, we find:
new rent = 1550 + 0.037(1550)
new rent = 1550 + 57.35
new rent = $1,607.35
I hope this clarifies!:)
The number of layers is calculated as 2^7 = 128. The overall thickness is then 128 multiplied by 0.1, resulting in 12.8 mm. I hope this information is useful.
Response:
Second option: 
Third option: 
Detailed explanation:
The missing graph has been provided.
The attached image illustrates the graphing of the following system of linear equations:

Notice the intersection of the lines.
According to the definition, if lines in a system of equations intersect, then there is only one solution. This implies that the intersection point is the solution to that system. This can be expressed as:

Represented by "x" for the x-coordinate and "y" for the y-coordinate.
Here, it's noticeable that:
- The x-coordinate of the intersection point lies between
and
.
- The y-coordinate of the intersection point is situated between
and
.
Therefore, you can conclude that the forthcoming points (Refer to the options given in the exercise) are potential approximations for this system:

48, since 9x equals 54. Dividing 54 by 9 results in 6. Multiplying 6 by 8 gives 48
~JZ