Answer:
The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.
Step-by-step explanation:
The proof is rigourous and well written, so we discard the second answer.
This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.
A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.
To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."
Answer:
The total commission is $8905
Step-by-step explanation:
The commission on first $80000 = 2%
The commission on next $80000 = 4%
The commission on the sales of more than $160000 = 5%
Now we have to calculate the total commission on the amount of $242100. Let divide the amount in three parts, $80000 + $80000 + $82100 = 242100
Now total commission = $80000×2% + $80000 ×4% + $82100×5%
Total commission = $8905
Answer:
$780.50
Step-by-step explanation:
I will update this if I figure how it's solved as well.
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15
Answer:
Step-by-step explanation:
Pythagorean theorem,
hypotenuse²= base² + altitude²
base² = hypotenuse² - altitude²
x² = 14² - 9²
= 196 - 81
= 115
x = √115
x = 10.72
