Brainiest pls
Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain. No. ... The ratio for the percent increase from 50 to 70 is 20/50, or 40%. That was my response. I got it right. or Sample response: No. The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.
Step-by-step explanation:
PERCENT CHANGE
The percentage change from 100 to 120 is 20 %
((y2 - y1) / y1)*100 = your percentage change
Percent Off(where y1=start value and y2=end value)
((120 - 100) / 100) * 100 = 20 %
Step by step workout
step 1 Address the formula, input parameters & values
Formula :
Increase
Initial Value
x 100 = Percent Increase (%)
Initial Value X = 50 & New Value Y = 70
Increase = (Y - X)
(70 - 50)
50
x 100 = ?
step 2 Apply the values in the percentage increase {(Y - X)/X x 100} formula
=(70 - 50)
50
x 100
=20
50
x 100
= 40%
(70 - 50)
50
x 100 = 40%
40 percent increase (%↑) or raise from 50 is 70 or 140% of 50 is 70
Consider the following problem involving stock prices.
In recent years, the stock market has been quite volatile. Suppose your stock investment was initially $100,000. After a period where the value first decreased by 20% and then the value increased by 20%, would the value still be $100,000?
Many people, including some financial advisors, would answer the question in the affirmative; they would say your stock would still be valued at $100,000. But let's compute the result before we answer the question. Since the stock first decreased by 20%, we take 20% of $100,000, which is $20,000. So, the value of the stock would then be $80,000. The 20% increase would be on the $80,000. Taking 20% of $80,000, we obtain $16,000, which means the stock increases in value by $16,000. Therefore, the stocks final value is $96,000. The answer to the question is no since the value has had a net decrease of $4,000.
This answer seems counterintuitive since we had a 20% decrease and a 20% decrease. Â But note that the 20% decrease was on a greater value than the 20% increase. The changes were not on the same stock values.
What would be the result if the reverse happened, that is, first have a 20% increase followed by a 20% decrease?
The 20% increase on $100,000 would be an increase of $20,000. So, the new value would be $120,000. We find the 20% of $120,000 is $24,000. Therefore, we would have a decrease of $24,000 for a net value of $96,000. Note that we have obtained the same result. The order of the increase and decrease did not matter, again because the 20% decrease was taken on the greater value than the 20% increase.
The Commutative Property of Multiplication may be used to show that the above two problems will have the same result. First note that 100% of $100,000 is $100,000. A decrease of 20% of the value would mean that the final value would be 80% of the original value since 100% – 20% = 80%. Also, an increase of 20% of the value would mean that the final value would be 120% of the original value since 100% + 20% = 120%. Reword the problems: Find 120% of 80% of $100,000 or find 80% of 120% of $100,000. Translate the problems:
1.20(0.80)(100,000) = 0.80(1.20)(100,000).
The commutative property shows that the two problems are equivalent. Multiplying either side of the equation we obtain our solution of $96,000.
Further note that $96,000 is a 4% decrease from the original $100,000 since we had a decrease of $4,000.
The above problem is a illustration of a common type of problem involving percentages where percents are used to describe how prices, salaries, and other monetary situations change. For instance, the TV you want to buy is on sale for 30% off or you get a 3.5% increase in your salary starting July 1. Â
Knowing what these phrases mean and knowing how to compute the values is important to everyone in our society.ls
