Answer: C < B < A
<u>Step-by-step explanation:</u>
First, let's evaluate the growth rate of A from [1, 3]
= 300
coordinate is (1, 300)
= 675
coordinate is (3, 675)
Average growth rate (AGR) is: 
AGR (A) = 187.5
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Next, let's evaluate the growth rate of B from [1, 3]
The coordinates are already provided as (1, 120) and (3, 480)
Average growth rate (AGR) is: 
AGR (B) = 180
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Lastly, let's evaluate the growth rate of C from [1, 3]
f(x) = 600(1.2)ˣ
f(x) = 600(1.2)¹
= 720
coordinate is (1, 720)
f(x) = 600(1.2)³
= 1036.8
coordinate is (3, 1036.8)
Average growth rate (AGR) is: 
AGR (C) = 158.4
Answer:
(1) 102.55 in
(2) 316.69 in²
Step-by-step explanation:
Applying (1)
a² = b²+c².............. Equation 1
Given: a = 25 in, b = 20 in,
25² = 20²+b²
b² = 25²-20²
b² = 225
b = √225
b = 15 in
b = diameter of the semicircle
The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in
Therefore,
P = 37+25+17+23.55 = 102.55 in
(2) Applying,
A = Area of the tripezium- area of the semi circle
A = [h(a+b)/2]-πh²/8.............. Equation 2
Given; h = 15 in, a = 17 in, b = 37 in
A = (15(17+37)/2)-(3.14×15²/8)
A = 405-88.31
A = 316.69 in²
The length of the support post is 40 ft.
<u>Solution:</u>
Given, the height of the wall is 20 ft; support post forms 30 degree
Refer the attached image
Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and 
is 30 degree (
) and AC is the length of the post.
To find: The length of the post (AC)
we know the formula, 
(trigonometric formula)
On substituting the values we get,
The value of sin 30 degree is 0.5
Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
=============================================================
Explanation:
To graph 
, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
Answer: desktop = $1750, laptop = $1900
<u>Step-by-step explanation:</u>
Let x represent the cost of the desktop
then x + 150 is the cost of the laptop.
.07x + .055(x + 150) = 227
.07x + .055x + 8.25 = 227
.125x = 218.75
x = 1750
desktop (x) = $1750
laptop (x + 150) = $1750 + $150 = $1900
