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:
Jody
Step-by-step explanation:
You can either convert 500 seconds to minutes or 8 minutes to seconds to compare. I'll do both.
There is 60 seconds in a minute. To find the total minutes of 500 seconds, divide 500 by 60 → 8.3, which means that Jody practiced for 8.3 minutes.
To find the total seconds of 8 minutes, multiply 60 seconds per minute by 8 minutes → 60 * 8 = 480 seconds which means that Bill practiced for 480 seconds.
Now you can compare. Jody practiced for 500 seconds, or 8.3 minutes. Bill practiced for 480 seconds, or 8 minutes. Jody practiced longer.
To solve this problem you must apply the proccedure shown below:
You must apply the Pythagorean Theorem.
a) Taking 28 inches as the hypotenuse of the right triangle (the largest side), you have:
a^2=b^2+c^2
Where "a" is the hypotenuse, and "b" and "c" are the other sides of the right triangle.
Then, you have:
a=28 inches
b=15 inches
c^2=a^2-b^2
c=√(a^2-b^2)
c=23.6
Therefore, the answer is: 23.6 inches
a) Taking 28 inches as a one the other sides that are smaller than the hypotenuse, you have:
a=√(b^2+c^2)
Where "a" is the hypotenuse
a=31.8 inches
The answer is: 31.8 inches
Answer:
The solution of given problem is k = 11
Step-by-step explanation:
<u>slope of given two points formula:-</u>
slope m = 
.....(1)
Given points are (1,3) and (5,k)
given slope m = 2
now substituting m =2 and the given points are (1,3) and (5,k)
on simplification we get solution
