Answer:
50% ( rounded to the nearest tenth of a percent)
Step-by-step explanation:
In this question, we are asked to find the percentage decrease in the price of the bottle of water.
To do this, what we do is that we subtract the new price from the old price, then we divide the result by the old price and multiply the result by 100.
Mathematically,
Percentage decrease in price = (old price- new price)/old price * 100%
Percentage decrease in price= (2.65-1.4)/2.65 * 100%
1.25/2.65 * 100% = 47.2%
We were asked to round to the nearest tenth of a percent. This brings our answer to 50%
-15228 I think but let me know if I’m wrong please
The 2nd one. The data matches that on the Venn Diagram.
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.
A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
.. (B +C)/2 = ((m, n) +(p, 0))/2 = ((m+p)/2, n/2) = A'
B) The slope of the line between (x1, y1) and (x2, y2) is given by
.. slope = (y2 -y1)/(x2 -x1)
Using the values for A and A', we have
.. slope = (n/2 -0)/((m+p)/2 -0) = n/(m+p)
C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
.. y -0 = (n/(m+p))*(x -0)
.. y = n*x/(m+p)
D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
.. (x, y) = ((m+p)/3, n/3)
Putting these into our equation, we have
.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n
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* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.
The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
Answer: the amount of money that she pays in service fees yearly is $234
Step-by-step explanation:
The number of times that Faye uses an out of network ATM is twice in a week. Assuming that the total number of weeks in a year is 52 weeks in a year. It means that the number of times that she uses an out of network ATM in a year is 62 × 2 = 104 times.
Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM. It means that the total cost for using an Faye’s bank charges her a $2.25 service fee every time she uses an out-of-network ATM for 104 times will be
2.25 × 104 = $234
