Beautiful, Denis!

[jonah2.0]

First, convert both rates to annual equivalent:
(1 + .18/12)^12 - 1 = .195618... : ~19.5618%

(1 + .09/4)^4 - 1 = .093083... : ~9.3083%

Then:

500(1.195618)^n = 2*1000(1.093083)^n

Solve for n. That'll give you solutions in years.

NOTE:
It is (I find) easier and clearer to do these this way:
u = (1 + .18/12)^12
v = (1 + .09/4)^4

500u^n = 2*1000v^n ; divide by 500:
u^n = 4v^n
u^n / v^n = 4
(u/v)^n = 4

Now log that to the finish!

Btw, divide by 12 after, and you'll get same as you do using Hall's yukky way

Beautiful Sir Denis, simply beautiful. Another dragon slain, another damsel rescued. Wish I'd slain this dragon myself. If I must improve on it, I would have preferred to put the expression in an intuative fraction form like

500(1.015 ) ^ ( 12t )
- - - - - - - - - - - - - - - - - = 2
1,000(1.0225 ) ^ (4t)

 

[jonah2.0]

strange forum function

To Sir Stapel:

I remember seeing the term "fraction" turning to blue upon clicking on the submit reply feature of the forum but I definitely did not insert any url link on it. I thought it was just a new forum feature what with being gone for some time. Or maybe that was just another glitch from using a smartphone (1st was when I tried registering anew when the forum server gave me a hard time). Anyway, the url led to another freemathhelp.com site; theory on new forum feature bolstered somehow.

 

[jonah2.0]

Ah yes, it turned to blue again. Definitely a new forum feature.

 

[mmm4444bot]

Definitely a new forum feature.

Relatively new, yes. It's handy, in that vBulletin auto-inserts links; tutors do nothing more than type the words versus manually linking to some lessons/definitions for students.

Alas, there be caveats. For example, if one uses LaTex code \angle (there be other examples, too), the entire line of LaTex fails to render. Arrrg. (Also, one sees a lot of those mean links, see what I mean; 'mean' often will mean 'out-of-context'.)

You may read-up on some other changes/issues/workarounds here and here. (Haven't perused those threads carefully, lately; parts might not be up-to-date.)

 

[jonah2.0]

Thank you Sir Mark. Since this is indeed the case, then perhaps Sir Stapel should not have edited/transferred my post.

 

[mmm4444bot]

perhaps Sir Stapel should not have edited/transferred my post.

Side discussions (i.e., conversation off-topic relative to the OP) are often moved to the Odd&Ends board (at some point).

Post and thread moves have no effect on the auto-linking of keywords, as far as I know.

I'm thinking that Stapel created the link to the source thread for convenience. People often quote something from another thread. If such quotations are pasted from a system-generated quote (i.e., what you get from clicking the [Reply with Quote] button), then there exists a link to the source thread, automatically. These pointers always appear at the top of the quote, directly to the right of the quoted user's username, but not everybody remembers or knows this.

Otherwise, am I overlooking something?

Ciao :cool:

 

[Deleted member 4993]

Thank you Sir Mark. Since this is indeed the case, then perhaps Sir Stapel should not have edited/transferred my post.

By the way, it is Queen Stapel - dear knight...

Most Humbly

Sir Khan

 

[lookagain]

By the way, it is Queen Stapel - dear knight...

Most Humbly

Sir Khan

The corresponding female title to "sir" should be "madam."

 

[jonah2.0]

By the way, it is Queen Stapel - dear knight...

Most Humbly

Sir Khan

The corresponding female title to "sir" should be "madam."

I stand corrected. Many thanks, Sir Subhotosh Khan and Sir Lookagain. As I recall however, Lady Stapel would do as well. At any rate, methinks my post was not off-topic relative to the OP. It was merely an expression of appreciation (and envy if might add) of a well treated subject that I wish I could have seen earlier (as I said, I wish I'd slain that dragon first).

 

[pka]

The corresponding female title to "sir" should be "madam."

Correction: Sir lookagain.

For you non-anglophiles, it should "Lady"

 

[Quaid]

For you non-anglophiles, it should [be] "Lady"

I think that's backwards. It's 'Lady' for anglophiles. The rest of us don't give a hoot.

 

[lookagain]

I think that's backwards. It's 'Lady' for anglophiles. The rest of us don't give a hoot.

The equivalent term for a knighted woman is Dame, or "Lady" for the wife of a knight.

Source:
http://en.wikipedia.org/wiki/Sir

.

 

[jonah2.0]

Dame Stapel? Methinks I like Lady Stapel better. Thanks again Sir Lookagain.