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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Answer:
-1.8,3
Step-by-step explanation:
This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.
looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).
Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:
, this will result in 3, which is one of your values for x
the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!