Answer:6
Step-by-step explanation:
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
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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%
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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.
Answer:
<u>The correct answer is A. - 11 square root of 7.</u>
Step-by-step explanation:
We have the expression 2 √28 - 5 √ 63 and we have to find and equal expression.
Let's simplify it:
2 √28 - 5 √ 63
2 √7 * 4 - 5 √ 9 * 7 (28 is also equal to 7 * 4 and 63 is equal to 9 * 7)
2 * 2 √7 - 5 * 3 √ 7
4 √7 - 15 √7
- 11 √7
<u>The equal expression is A. - 11 square root of 7.</u>
Answer:
5, 15, 45 and 135
Step-by-step explanation:
Given the recursive function;
an = 3a(n-1)
If a1 = 5
a2 = 3a1
a2 = 3(5)
a2 = 15
For a3;
a3 = 3a2
a3 = 3(15)
a3 = 45
For a4;
a4 = 3a3
a4 = 3(45)
a4 = 135
Hence the first four terms are 5, 15, 45 and 135
