Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
- Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.
Answer:
<h2>B. 6</h2>
Step-by-step explanation:
![\text{use}\\\\a^{-n}=\dfrac{1}{a^n}\\\\==========================\\\\b^{-3}=\dfrac{1}{216}\\\\\dfrac{1}{b^3}=\dfrac{1}{216}\qquad\text{inverse both sides}\\\\b^2=216\to b=\sqrt[3]{216}\\\\b=6\ \text{because}\ 6^3=216](https://tex.z-dn.net/?f=%5Ctext%7Buse%7D%5C%5C%5C%5Ca%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%5C%5C%5C%5Cb%5E%7B-3%7D%3D%5Cdfrac%7B1%7D%7B216%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7Bb%5E3%7D%3D%5Cdfrac%7B1%7D%7B216%7D%5Cqquad%5Ctext%7Binverse%20both%20sides%7D%5C%5C%5C%5Cb%5E2%3D216%5Cto%20b%3D%5Csqrt%5B3%5D%7B216%7D%5C%5C%5C%5Cb%3D6%5C%20%5Ctext%7Bbecause%7D%5C%206%5E3%3D216)
X/4y = 16/4(2) = 16/8 = 2
Making only minimum payments on a long term credit implies that the total cost is higher and may impact on the credit score therefore the answer would bed. II and III
Answer:
<h2>
Joe should choose $2100 + 4% of Sales</h2>
Step-by-step explanation:
The options available to Joe are ($1800 + 6.5% of sales) and ($2100 + 4% of sales) for his salary. He chooses the option in which he would get higher salary. Sales are expected to lie between $5000 and $10000.
Let the sales be denoted by 
(in Dollars). Joe chooses first option if it is a higher number than the second.
⇒ if 
So, he chooses first option if 
. However sales is between $5000 and $10000. So, Joe will go with second option.
∴ Joe should choose $2100 + 4% of sales.
