Target has a PlayStation 5 that is originally 500.00. They are having a one-day sale where you can get it for 15% off. What is t
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Answer:
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Step-by-step explanation:
You treat inequality questions just like normal equation with an equal sign. You only have to worry about the inequality when you do the shading part.
Your first goal is to solve for y, which I did at the top.
And remember that when you divide/multiply by a negative number you have to flip the inequality sign.
So the first equation is already in term of y. (y < 2x + 4)
So you only have to solve for y for -3x - 2y ≥ 6.
I solved that and got y ≤ -3/2x - 3.
Now you have 2 equations. y < 2x + 4 and y ≤ -3/2x - 3
First you gotta treat it like a normal equation and graph them.
So i graphed y = 2x + 4 and y = -3/2x - 3. I assume you already know how do do that.
btw. < and > have dotted lines, while ≤ and ≥ have solid lines.
Now for the shading, you gotta look at the inequality sign.
y < 2x + 4 has a less than sign, so you have to shade everything underneath the line you graphed.
y ≤ -3/2x - 3 is also less than, so you have to shade everything underneath that line as well.
So in the future, you you get a > or ≥ then you have to shade above the graph.
PART A
Given:
f(x) = 0.69(1.03)x
To find:
If the price of the product is increasing or decreasing and by what percentage
Steps:
we know the formula to find the price of Product A per year, so
f(1) = 0.69 * 1.03 * 1
Price = $0.7107
f(2) = 0.69 * 1.03 * 2
Price = $1.4214
Here the Price of Product after 2 years is greater than the price of Product after one year. So the price of the product A is increasing.
Now to find percentage increase,
Percentage increase = (FV = final value, SV = starting value)
Percentage increase =
Percentage increase =
Percentage increase = 100 %
Therefore, the percentage increase of Product A is 100%
PART B
Given:
Price of product B in 1st year = $10,100
Price of product B in 2nd year = $10,201
Price of product B in 3rd year = $10,303.01
Price of product B in 4th year = $10,406.04
To find:
Which product recorded a greater percentage change over the previous year
Steps:
We need to find the percentage change of Product B and Product A of each year. We know that the percentage change of product A is 100 % for each year, so we only need to calculate for product B
PC of product B from 1st to 2nd year =
=
= 0.01 * 100
= 1 %
PC of product B from 2nd to 3rd year =
= 1%
PC of product B from 3rd to 4th year
≈ 1%
So, percentage change of product B is 1% per year
Therefore, Product A has greater percentage change
Happy to help :)
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