Answer:
Please refer to the attached graph
Step-by-step explanation:
Knowing the following:
X = amount of money donated to the city youth fund
Y = amount of money donated to the educational growth foundation
We can write the statements in form of equations:
"Will donate up to $500, the money will be divided between two charities"
(a)
"The amount donated to the educational growth foundation to be at least four times the amount donated to the city youth fund"
(b) 
If we graph both equations we can see the area where both conditions are met (see graph attached)
Where the blue line is (a) and the red line is (b)
Shaded area represent all the possible solutions for the donations, for example:
X=100 and Y=400 or
X=50 and Y=200, etc.
Answer:
(-1/2,1/2)
Step-by-step explanation:
Normally for sinx amplitude is 2 (1 +1). In the case when it is half sine amplitude is halved, therefore 0.5 +0.5 = 1 Paramers alpha = 2x does not matter because it only stretches the graph horizontally.
hope it helped
Uhhh, kind of an estimated guess but I got $7426.30
<h3>
Answer: $59.25</h3>
========================================================
Explanation:
There are two approaches
Method 1
25% of 79 = 0.25*79 = 19.75
Mary saves $19.75 and the price before tax is 79 - 19.75 = 59.25
-----------------------------
Method 2
She saves 25% so she must pay the remaining 75%
75% of 79 = 0.75*79 = 59.25
This is a slight shortcut, and it's very useful when it comes to chaining multiple discounts together.