Answer:
A
Step-by-step explanation:
20 times 10% is 2
(x2-x1)/(y2-y1)
(1+2)/(1-13)
3/-12
the slope of the graph is -1/4
I think you would just have to find the square roots
Answer:
Answer:
Option 1, by $851.70
Step-by-step explanation:
Option 1 total:
$8000 + $765.44*5*12 = $53926.40
Option 2 total:
$8000 + $626.25*4*12 + 0.38*$43995 = $54778.10
The difference:
$54778.1 - $53926.40 = $851.70
As we see the option 1 is cheaper by $851.70
Correct answer choice is the last one
Step-by-step explanation:
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
