Answer:
No, Paul will make more money in a year.
Step-by-step explanation:
Monica: 3.6% · 100 = $3.60 made in a year.
Paul: 2.2% · 200 = $4.4 made in a year.
Answer:
The prove is as given below
Step-by-step explanation:
Suppose there are only finitely many primes of the form 4k + 3, say {p1, . . . , pk}. Let P denote their product.
Suppose k is even. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).
ThenP + 2 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 2 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠2. This is a contradiction.
Suppose k is odd. Then P ≅ 3^k (mod 4) = 9^k/2 (mod 4) = 1 (mod 4).
Then P + 4 ≅3 (mod 4), has to have a prime factor of the form 4k + 3. But pₓ≠P + 4 for all 1 ≤ i ≤ k as pₓ| P and pₓ≠4. This is a contradiction.
So this indicates that there are infinite prime numbers of the form 4k+3.
Answer:
Check Explanation
Step-by-step explanation:
The longer diagonal of a kite bisects the shorter diagonal.
The diagram of the kite is shown in the attached image to this solution.
The total area of the kite = The sum of the area of the two triangles that make up the kite.
Total area = (½bh + ½bh) = bh
b = 18x
h = (x/2)
Total area of the kite = (x/2)(18x) = 9x²
Just as the question predicts.
Hope this Helps!!!
We can answer this problem asking to express <span>the complex number -6i in trigonometric form. first thing to do is to evaluate the given expressions
cos 0 is 1
sin 0 is 0
sin 180 is 0
cos 180 is -1
cos 270 is 0
sin 270 is -1
sin 90 is 1
cos 90 is 0.
Hence the answer to this problem is B.</span><span>6(cos 270° + i sin 270°)</span>
