So we can start with the full of possibilities and eliminate them one by one.
The full set is {0,1,2,3,4,5,6,7,8,9}.
Now we know that any prime greater than 2 is odd as otherwise it would have 2 as a factor, so we can eliminate all of these digits that would be an even number, leaving:
{1,3,5,7,9}
We also know that any prime greater than 5 cannot be a multiple of 5 and that all numbers with 5 in the digits are a multiple of 5, so we can eliminate 5.
{1,3,7,9}
We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:
{1,3,7,9} as our answer.
Answer:
A=254.34
Step-by-step explanation:
1. A=πr²
2. A=π(9)²
3. A=π(81)
4. A=3.14(81)
5. A=254.34
Answer:
11.6%
Step-by-step explanation:
(new - old)/(old) = 25/215 = .116 = 11.6%
Answer:
The cost of Ningbo Shipping Preferred stock is 12.40%
Step-by-step explanation:
In this question, we are asked to calculate the cost of Ningbo shipping Preferred stock.
To calculate this, we make use of the following mathematical relation;
The cost preferred stock Kp = Annual dividends/ Issued price-Cost of Issuing
From the question, we identify the following;
Issued price = $125
Annual dividend = $15
Cost of Issuing = $4
Inserting these into the formula we have;
Kp = $15/$125 - $4 = 12.40%
This means that Cost of Ningbo shipping preferred stock is 12.40%
Answer:
Step-by-step explanation:
<u />
<u>Distance formula</u>
Let P(x, y) = any point on the locus
Let A = (0, 2)
Let B = (-2, 3)
If a point moves such that its distance from (0, 2) is one third distance from (-2, 3):
Therefore, using the distance formula:
Square both sides:
![\implies x^2+(y-2)^2=\dfrac{1}{9}[(x+2)^2+(y-3)^2]](https://tex.z-dn.net/?f=%5Cimplies%20x%5E2%2B%28y-2%29%5E2%3D%5Cdfrac%7B1%7D%7B9%7D%5B%28x%2B2%29%5E2%2B%28y-3%29%5E2%5D)
Multiply both sides by 9:
