This is a Geometric sequence with first term 9.6 and common ratio -0.5.
an = an-1 *- 0.5
If u r not interested in the explanation jump to the end ***
1. We assume, that the number 53.55 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 53.55 is 100%, so we can write it down as 53.55=100%.
4. We know, that x is 15% of the output value, so we can write it down as x=15%.
5. Now we have two simple equations:
1) 53.55=100%
2) x=15%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
53.55/x=100%/15%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 15% of 53.55
53.55/x=100/15
(53.55/x)*x=(100/15)*x - we multiply both sides of the equation by x
53.55=6.6666666666667*x - we divide both sides of the equation by (6.6666666666667) to get x
53.55/6.6666666666667=x
8.0325=x
x=8.0325
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now we have:
15% of 53.55=8.0325.
the total price was 53.55+8.0325=61.5825 the price before the discount
61.5825 - 38 = 23.5825 ~ 23.58
Step-by-step Answer:
One of the properties of a least-squares regression line (line of best fit) is that the line always passes through the point (xbar, ybar).
Assuming the given "line of best fit" is a least-squares line, then we are given
a slope m=1.885 passing through (x0,y0)=(3.448,12.318).
Applying the standard point-slope formula:
(y-y0) = m (x-x0)
we get
y-12.318 = 1.885(x-3.448)
Expand and simplify,
y=1.885x -1.885*3.448 + 12.318, or
y=1.885(x) + 5.81852
(numbers to be rounded as precision dictates).
We have three numbers to arrange so that 6 is 1/10 of the value of the other six.
Since position tells us whether we're talking about single, tens, hundreds, thousands (e.g. 25 is two times 10 plus five times 1) we know that the two sixes must be next to each other.
This leaves us with two options.
663 or 366.
In each of these cases the second 6 in the number is one tenth of the first 6.
If we look at the only other option: 636 we see that the second 6 is one hundredth of the value of the first 6.
