The most appropriate choice for sales tax will be given by-
Total cost of the TV with sales tax included is $553.15
What is sales tax?
Sales tax is a tax imposed by the government on the price of a commodity for the sale of that commodity. Imposing sales tax on a product increases the price of the product. Nowadays, sales tax has been replaced by Goods and Service Tax (GST).
Here,
Listed price of television = $510.99
Rate of sales tax = 8.25%
Sales tax to be added = 
= $
Total cost of the TV with sales tax included = $(510.99 + 42.16)
= $553.15
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The correlation coefficient for the data in the table is A. –0.993
<h3>Calculations and Parameters:</h3>
Using this formula: 
We would use x and y to represent the unknowns.
n = 4
We have,
- ∑x = 42,
- ∑y = 44.37 ,
- ∑xy = 461.3
- ∑x^2 = 446,
- ∑y^2 = 494
Putting these values in the formula
would bring the answer as. A. –0.993
Read more about correlation coefficient here:
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This is pretty straight forward.
First the area of a rectangle is given by the product of the length and the width and in this case the area is known.
Second the length is an unknown and since we are doing algebra lets call it x
Finally the width is 4 less than the width which is (x-4) units....x will be in meters and the width is 4 meters less then the length.
Putting it together we have x(x-4) = 117 m^2
then
x^2 - 4x = 117
one could use the solution for the quadratic or one could plug in a few numbers as test for the length
10 by 10 is 100 square meters
10 by 14 is 140 square meters
13 by 9 is 117 square meters....x is 13 and x-4 is 9
I used approximation once I had determined the relationship between the area of the rectangle and the perimeter of the rectangle