A regular room at the Great Wolf Lodge is $229.99. You have a discount code to get 20% off of the room rate. The sales tax on th
2 answers:
We'll start with our initial price- $229.99.
First, we'll want to apply our discount code, as you wouldn't want to discount something after taxes. To apply the discount, we will start by multiplying our percent by the original price.
Multiplying by a percent is easy! All we need to do is put the percent over 100, divide the fraction, and our decimal is the value.
Now that we know our percent can be represented as "0.2," we will multiply 0.2 by our original price.
As our unit is money, we will round to the nearest hundredth. When we round to the nearest hundredth here, we can see that 20% of 229.99 is $46.00.
We aren't done calculating the discount yet, though! We still need to subtract the "46" from our original price, since we are only getting 20% off, not only paying 20%.
Now that we have our discounted price, we need to add the sales tax to it. Again, we'll need to find our sales tax's value as a decimal.
This time, we will multiply the discounted price by "1.13." The first "1" represents the discounted price, and the ".13" afterwards represents the cost of the sales tax.
Again, we'll need to round to the nearest hundredth, so our "207.9087" becomes "207.91."
With all of the logic above in mind, we can conclude that the cost of the room, after the discount and the sales tax, is $207.91.
First, we'll want to apply our discount code, as you wouldn't want to discount something after taxes. To apply the discount, we will start by multiplying our percent by the original price.
Multiplying by a percent is easy! All we need to do is put the percent over 100, divide the fraction, and our decimal is the value.
Now that we know our percent can be represented as "0.2," we will multiply 0.2 by our original price.
As our unit is money, we will round to the nearest hundredth. When we round to the nearest hundredth here, we can see that 20% of 229.99 is $46.00.
We aren't done calculating the discount yet, though! We still need to subtract the "46" from our original price, since we are only getting 20% off, not only paying 20%.
Now that we have our discounted price, we need to add the sales tax to it. Again, we'll need to find our sales tax's value as a decimal.
This time, we will multiply the discounted price by "1.13." The first "1" represents the discounted price, and the ".13" afterwards represents the cost of the sales tax.
Again, we'll need to round to the nearest hundredth, so our "207.9087" becomes "207.91."
With all of the logic above in mind, we can conclude that the cost of the room, after the discount and the sales tax, is $207.91.
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The graph of the solution set for the inequality can be seen below.
<h3>How to graph the solution set?</h3>Here we have the inequality:
3x - 2y < -12
If we isolate y, we get:
3x + 12 < 2y
(3x + 12)/2 < y
(3/2)x + 6 < y
Now, we just need to graph the line y = (3/2)x + 6 with a dashed line (because the points on the line are not solutions).
And then we need to shade the region above the line.
The graph of the solution set can be seen below.
If you want to learn more about inequalities:
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