![Jeff70411](/avatars/13032.jpg)
Jeff70411
08.02.2020 •
Mathematics
A55% decrease followed by a 25% increase
Solved
Show answers
More tips
- O Other What is the oldest joke ever told?...
- F Food and Cooking How to Make Lazy Cabbage Rolls? Simple Steps to a Delicious Dish...
- F Food and Cooking Unusually Delicious Shashlik - Follow the Etiquette of Proper Preparation!...
- L Leisure and Entertainment Couchsurfing: A New Way to Travel...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- C Computers and Internet Where did torrents.ru move to?...
- B Business and Finance Understanding Cash Flow: What It Is and How It Works...
- C Computers and Internet What Are Peers and Seeds in Torrenting?...
Answers on questions: Mathematics
- M Mathematics Which of the following correctly shows clustering for the problem 72 x 13? 72 x 10 + 72 x 3 72 x 12 + 72 x 1 70 x 10 + 2 x 3 72 x 10 + 72 x 13...
- M Mathematics The real estate term lake frontage refers to the distance along the edge of a piece of property where it touches a lake. Determine the lake frontage of Lot B to the nearest...
- M Mathematics The density of gold is 19.3 grams/cubic centimeter. What is the mass of a gold block with dimensions: 4cm x 3cm x 12 cm? 2779.2 grams 0.13 grams 7.46 grams 1621.2 grams...
- E English What is the most valid cause and effect relationship during the modern age? a. rise of television leads to increased literacy b. youth culture leads to increased use of slang...
- H History Fair and speedy trial, jury trial, notified of accusations, right to an attorney, all of these are rights that are contained in what amendment to the u.s. constitution a)...
- B Business Paul Corporation reported net income of $260,000 during the current calendar year. The company had 10,000 common shares outstanding on January 1 and sold an additional 6,000...
- C Chemistry How can radiation from the sun and convection work together to create a sea breeze...
Ответ:
Let's say the item starts off at $100.
A 55% decrease means 100%-55% = 45% of the value is still there. The item is now worth 0.45*100 = 45 dollars.
Now increase this by 25%. The long way to do this is to add 25% of 45 onto 45
(25% of 45) + (45) = 0.25*45+45 = 11.25+45 = 56.25
Or, we can multiply 45 by 1.25 since the multiplier 1.25 represents a 25% increase
1.25*45 = 56.25
The item was $100, it drops to $45 after the 55% decrease, then it is $56.25 after the 25% increase.
Let's compute the percent difference
A = 100 = old value
B = 56.25 = new value
C = percent difference
C = 100*(B-A)/A
C = 100*(56.25-100)/100
C = -43.75%
The negative C value indicates a percent decrease.
So combining a 55% decrease and a 25% increase leads to an overall decrease of 43.75%
A shortcut is to multiply 0.45 and 1.25 to get 0.5625
Then subtract this from 1 to get 1-0.5625 = 0.4375
This is another way to see we have a 43.75% decrease.
Ответ:
Rounded to the tenth: 82.4