Answer:
See explanation below.
Step-by-step explanation:
The prime numbers are bold:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
18 19 20 21 22 23 24 25 26 27 28 29 30 31
a) We can see that as we go higher, twin primes seem less frequent but even considering that, there is an infinite number of twin primes. If you go high enough you will still eventually find a prime that is separated from the next prime number by just one composite number.
b) I think it's interesting the amount of time that has been devoted to prove this conjecture and the amount of mathematicians who have been involved in this. One of the most interesting facts was that in 2004 a purported proof (by R. F. Arenstorf) of the conjecture was published but a serious error was found on it so the conjecture remains open.
Y = 2/3x - 6
-2/3x + y = -6...multiply everything by -3
2x - 3y = 18 <== standard form
The formula for simple interest is Interest= Principle·Rate·Time
If one of these is missing, just plug in what you know. For example, if time if the principle is missing just plug in the rest. Say the interest is $264, the rate is 6% and the time is 2 years. When its plugged it, it looks like this: 264= P ·0.06·2 Now you can work it out 0.06·2 is 0.12 so 264=P 0.12. Just divide by 0.12 and your done! You can do this with any letter and just put in the info you know. I hope that this helps you! :)
