Question

The number of passengers of terminal A, A(n) and terminal B, B(n), in the nth year are \(A(n)=2pq^n\) and \(B(n) = npq^2\), where p and q are positive constants.
Show that the number of passenger of terminal B will not exceed that of terminal A in the future.

Answer 1

Sorry but can you explain constants i never get the parts of a equation right and no more than i know positive constants

Answer 2

Im good at equations just not the parts at all

Answer 3

Hmm, let's say, it is given that p=2000, q=495.

Answer 4

Sorry but im still dumbfounded let me get my friend

Answer 5

@kewlgeek555

Answer 6

Give me some probability no matter how hard i can do it in time but sometimes some equations just stupify me

Answer 7

(o-o)

I don't think I am this advanced in Algebra, yet. (^_^;)

Answer 8

If number of passenger of terminal B will exceed that of terminal A, then
\[npq^2>2pq^n\] for some positive integers n.

Answer 9

Yeah I can do this but it would probably just be quicker to get your local tutor service or a teacher to help. Try getting some of the higher level Helpers to get this by typing: @TheirName

Answer 10

LOL, I was tutoring when I overcame this question!

Answer 11

I can do this i learned it this year but the way i know 1 Number and 1 Exponent on different sides isnt enough for me to solve the... I know what it is called but i cant remember its a Equation but with larger smaller equal to equal to or less equal to or larger

Answer 12

Could you give me some numbers for some of the variables so that it would still work and still be solvable

Answer 13

and it would be \[npq^{2}\ge2pq ^{n}\]

Answer 14

Does not exceed it does not say cannot be equal to

Answer 15

"the number of passenger of terminal B will not exceed that of terminal A "
B(n) <= A(n) :)

Answer 16

So if you could solve atleast one var on each side i can solve it

Answer 17

You mixed up the two function, perhaps :)

Answer 18

SO could you solve some vars please or make some that work

Answer 19

If I could solve it, I would not have posted it here :)

Answer 20

Ok then let me think

Answer 21

Im guessing that Npq stands for B(here) amd 2pq stands for A(here)

Answer 22

Well, \(B(n)=npq^2\) is a function in n.

Answer 23

JUST GO USE A INTERNET ALGEBRA CALCULATOR IM SORRY BUT I JUST CANT

Answer 24

Such calculators are not allowed in the exams...

Answer 25

(-_-) |____|
\ \ [=]
/ / /
(@_@)// / / /

I RAGE QUIT THIS MATH!!!!

Answer 26

(-_-)
/| |\
|____|
[=]
//
(-_-) // /
| \|\ / / /

I JUST QUIT

Answer 27

I CANT DO IT

Answer 28

I TRIED AND FAILED BUT ATLEAST I TRIED

Answer 29

In one line A grows exponentially with n and B grows linearly with n.
After a while, A will always be bigger than B
\[
A(n)=C_1 q^n\\
B(n)=C_2 n
\]

Answer 30

We have to suppose that q>1,

Answer 31

That's what I have told the girl I tutored. However, in case we must use a more "mathematical" way to do it, what is the possible approach to solve this problem?

Answer 32

Show her that if q>1, then
\[
\lim_{n\to \infty}\frac{A(n)}{B(n)}=\infty
\]
Hence there is N, so n>N
\[
\frac{A(n)}{B(n)}>1\\
A(n) > B(n)

\]

Answer 33

I don't mind explaining the concept of limit to her, since she has not learnt it. Though, I bet she is not interested since it is out of syllabus.
Thanks for your suggestions. :)