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Answer :
The total change in the value of the stock for the week is -16 3/2 points. Option A is correct.
To calculate the change in the value of the stock for the entire week, we need to find the total sum of the points gained and lost on each of the five days.
Given information:
The value of the stock increases by 14 3/2 points twice in one week.
The value of the stock decreases by 10 points, 8 3/1 points, and 12 3/2 points on the other three days.
Let's calculate the total change in points:
Increase on day 1: 14 3/2 points
Increase on day 2: 14 3/2 points
Decrease on day 3: -10 points
Decrease on day 4: -8 3/1 points (To convert to a mixed fraction: -8 3/1 = -8 - 3 = -11 points)
Decrease on day 5: -12 3/2 points (To convert to a mixed fraction: -12 3/2 = -12 - 1.5 = -13.5 points)
Now, let's calculate the total change:
Total change = (14 3/2) + (14 3/2) + (-10) + (-11) + (-13.5)
To add the fractions, we need to make sure they have the same denominator:
Total change = (14/2 + 3/2) + (14/2 + 3/2) - 10 - 11 - (13 + 1/2)
Total change = (17/2) + (17/2) - 10 - 11 - (13 + 1/2)
Total change = (17 + 17)/2 - 10 - 11 - (13 + 1/2)
Total change = 34/2 - 10 - 11 - (13 + 1/2)
Total change = 17 - 10 - 11 - (13 + 1/2)
Total change = 17 - 10 - 11 - 13 - 1/2
Total change = (17 - 10 - 11 - 13) - 1/2
Total change = -17 - 1/2
Now, convert -17 - 1/2 to a mixed fraction:
Total change = -17 - 1/2 = -17 1/2 = -16 3/2
The total change in the value of the stock for the week is -16 3/2 points.
Hence, A. is the correct option.
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--The given question is incomplete, the complete question is
"The value of a stock increases 14 3 /2 points twice in one week. The other three days the value decreases by 10 points, 8 3 /1 points, and 12 3 /2 points. By how many points did the value of the stock change that week? (A) - 16 3/2 points (B) -18 3/2 points (C) −19 3 /1 points (D) −1 5 3/2 points."--
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