All Answers 358110 Answers

Yes, it is always a worry Chris!

Melody, in part 1 you didn't differentiate between the 2 pink b***s (.i.e. you treated pink1/pink2 as the same as pink2/pink1).  So why did you differentiate in part 2 (at least, it looks to me like you did, unless I've misinterpreted what you mean by being glued together in 2 different ways)?

(6^7*6^3/6^5*6^2)^2

$$\left(\frac{6^7*6^3}{6^5*6^2}\right)^2\\\\
=\left(\frac{6^{10}}{6^7}\right)^2\\\\
=\left(6^3 \right)^2\\\\\
=6^6$$

$${{\mathtt{6}}}^{{\mathtt{6}}} = {\mathtt{46\,656}}$$

Okay, I See Now! Thank You for That Revision...and Now I know What IMHO Mean! :)

Thanks Again CPhill!

The reason that you do not like mine is that I have not worked out the annual rate.  And this is upsetting to some people.  What i would like to see is the setting out to show that Morgan Tud's answer is correct (as I have done with mine).  When I am shown that I am wrong I am always happy to accept it.  

I am reasonably  confident that my own answer is correct.  

Morgan Tud has given an annual interest rate I am not sure if he has given any others.  If i get time I will play with his answer as i have done with my own.

Melody, I do not wish to offendeth thee, but for some reason I cannot bring my mind to what thou arth doing.

For some reason, what Morgan unravels concurs with my mind and this is validated by one irrefutable truth;

The holy book of solutions has spoken of the mighty €39.84!

I wish I could forclose thee thou fault in thine carefully conceived answer, but I cannot.

May the protector of the irrealms, rooted of the negative one help us define your irregularities.

I only just used Google to find out what Kool-aid is!  I learn something every day!

If sin(theta)=0.567

then

theta=asin(0.567)

arc sine is the same as inverse sine

-8x^3+6x^2

Thank you Natasza,

I don't think that i have answered any of your questions yet but we all try hard to help people and it is really nice when people show their appreciation! 

Is something wrong CPhill? and thanks heureka!

Hi anonymous4338

We only just had this one 

Hey Dragan and Orstein,

Welcome to Web2.0calc forum, I see that you are already enjoying yourselves here.  With some luck maybe you can learn something as well.

Dragon, your avatar would have to be one of the 'coolest' on the forum!

Wednesday 18/6/14

Pokemonfan58 has solved our number puzzle andposted a new one!

Okay, lets look at this from my answer backwards

r=1.25^(1/9)-1  This is the answer that I got for the effective 4 monthly interest rate.

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Now, the effective 3 yearly interest rate is (1+r) ^9-1=  This simplifies to 0.25 

We have a perpetuity paying €10 at the end of each 3-year period with the first payement at the end of year 6 with a present value PV1 = €32.

PV=32euros, After 3 years this has grown to 1.25*32= 40euros, at the end of the next 3 years 10 euros will be earned in interest.  This is then paid out as the regular payment.

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Now the 4 monthly interest rate is 1.25^(1/9)-1  and the regular payment is 1 euro

R=PV*interest rate 

PV=1/[(1.25^(1/9)-1] = 39.83 euros

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So far so good.  Is it that you do not accept that 25% every 3 years is equivalent to 1.25^(1/9)-1 every 4 months

Say you invest $P and leave it for 3n years

okay the 4 monthly one will grow to P[1.25^(1/9)-1+1]^(3n*3)=P[1.25^(1/9)]^(9n)=P[1.25^n]

The 3 yearly one will grow to P[1.25^n]

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Reinout, you can accept Morgan Tud's answer if you please, he is a fine Doctor and he also knows many curses, but I do not believe his answer is correct.

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I do owe you an apology Morgan Tud.  Our answers are now the same.  Mine would have be correct from start had there been but an extra 4 months in a year.  A 16month year. umm  Maybe I would have more time to get things done this way.  

My method is still preferable to yours!  Why worry this reinout lad with yearly interest when it has nought to do with the task at hand!

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I think the answer is trivial

He's here

0.74 times 0.74= 0.5476

Melody, I like your approach of treating the b***s like repeated letters in a word...that makes sense to me......but, we know what happened the last time we agreed on an answer (don't we??).....LOL!!!

Thanks, bertie, I like your way better.......

Anonymous, here's what bertie is saying:

Note that, since theta is the same same angle in both triangles, the tangent of this angle must be equal in both triangles!!

So we have

tan(Θ) =  2/3 = 5/x

Therefore, 2x = 15   and x = 7.5.......bertie's method eliminates the need to find theta altogether !!!

The triangles have the same angles so they are similar, ratios of corresponding sides will be equal, so 5/2 = x/3, x=15/2 = 7.5.

I thank thee for both thou answers, but I believe the answer of Morgan Tud, guardian of the irrealms, rooted of the negative one, is correct.