Answer:
£160,000
Step-by-step explanation:
Alice bought the house in 2008 for £x.
In 2014, the house sold for a 20% profit, so it sold for 1.2x. (* see explanation below)
In 2019, the house sold for a 5% loss, so it sold for 0.95(1.2x). (* see explanation below)
In 2019, it sold for £182,400.
0.95(1.2x) = 182,400
1.14x = 182,400
x = 182,400/1.14
x = 160,000
Answer: £160,000
* Explanation of 1.2 and 0.95.
A quick way to apply a percent increase or decrease to a number is to using the following method. The number you start with is 100% of the number. If you are adding a percent to it, then add the percent to 100% and convert it to a decimal. If you are subtracting the percent, then subtract the percent from 100% and convert to a decimal. Then multiply the decimal by the original number to find the increased or decreased number.
Example of percent increase:
A book used to cost £10. The price went up by 12%. What is the new price?
100% + 12% = 112% = 1.12
1.12 * £10 = £11.20
Example of percent decrease:
A pair of trousers costs £60. It is on sale at 35% off the regular price. What is the sale price?
100% - 35% = 65% = 0.65
0.65 * £60 = £39
Answer:
x/2x+3 + 2x +3/x = 184 /65
x(2x + 3)–1 + (2x+3)x-1 = 184/65
(2x + 3)x / (2x +3)x = 184/65
2x² + 3x / 2x² + 3x = 184/65
1x= 184/64
x = 184/64
If A is equal to 30, and A+B equals 42. That means B equals 12. So, if the value increased with the same rate of change, it would be 54. This is because 30 plus 12 is 42. 42 plus 12 would equal 54.
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