Answer:
0.19
Step-by-step explanation:
There are approximately .62 miles in a kilometer
so first day and so on
7, 10, 13,....
as you can see it's an arithmetic progression
so sum for nth term= n/2 { 2a + (n-1) d}
it's the sum of the 7th term
so
7/2 { 7 ×2 + ( 7-1) 3}
7/2 × 32
7× 16
112 fishes
Answer:
285,000
Step-by-step explanation:
First, you need to figure out how much was profit. Multiply 300k by .05, which should give you 15,000. Then, subtract 15,000 from 300k to get 285k. hope this helps
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:
Step-by-step explanation:
a) y-intercept is when x=0
f(0)
=1/(0-3)
=-1/3
g(0)=0 from the graph
b) vertical asymptotes are vertical lines that f(x) and g(x) get close but do not exist there
