I think it would be 35 combinations but I may be wrong
So far, you've only defined f(x). You haven't asked a question.
Answer:
18 L
Step-by-step explanation:
36 packs * 500 mL = 18000 mL
18000 mL / 1000 = 18 L
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.
Answer:
$180
Step-by-step explanation:
Interest for 1 year = 10% of $300
Interest for 6 years
= (10% × 6) of $300
= 60% of $300
= (60/100) × $300
= 60 × $3
= $180
So, he will earn $180 as interest in 6 years.
