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.
I’m pretty sure it’s linear!
The vertex is the point that divides the graph symmetrically and occurs at a local maximum, minimum, or sometimes an inflection point. In this case it is the global maximum at the point (1,3)
Answer:
<u>$7 000</u> was loaned at 10 % and
<u>$10 500</u> was loaned at 14 %
Step-by-step explanation:
Let x = amount loaned at 10 %
Then 17 500 - x = amount loaned at 14 %
0.10x = interest on 10 % loan
0.14(17 500 - x) = interest on 14 % loan
2170.00 = total interest
<u>$7000</u> was loaned at 10 % and
<u>$10 500</u> was loaned at 14 %
Check:
\
OK.
Answer:
θ ≈ 15°
Step-by-step explanation:
Using the sine rule in the triangle
note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then
= 
( cross- multiply )
2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )
sinθ = 
, then
θ = 
( ) ≈ 15° ( to the nearest degree )
