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| Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles |
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JJ64 Boo Level: 45 Posts: 785/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| That's what I was thinking of at the time, 1.04%, for some reason. I knew I should have put 0.04%... | |||
Heian-794 Red Super Koopa Level: 44 Posts: 298/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| Increasing the rate by 0.04 percentage points (to use a clearer term) would be normal, yeah. I had something like this at a bank in the US where I got 2.00% in the first year, 2.05% in the second year, etc., but there was a cap somewhere down the line. And did you just change the next problem immediately after posting it?  |
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JJ64 Boo Level: 45 Posts: 787/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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Originally posted by Heian-794 Yes. It was wrong, I realized. That's why I changed it. |
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Heian-794 Red Super Koopa Level: 44 Posts: 299/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| OK, gotcha. Well, if my solution to either of your problems is the right one and you post another one right away, I'll refrain from answering right away since it wouldn't be fair with us both online at the same time. | |||
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Dylan Devil Trumpets and Angel Trombones ~ Level: 54  Posts: 350/1407 EXP: 1181697 For next: 52173 Since: 06-19-04 From: Ottawa, Canada. Since last post: 1 day Last activity: 6 hours |
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| Well I thought you meant it would increase each year by x1.04, and that would be applied to the increase from the previous year, so 4 x 1.049, 9 because obviously the first year has no increase. I don't think the question was very clear, but if I got it wrong, I got it wrong. | |||
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Heian-794 Red Super Koopa Level: 44 Posts: 305/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| GB, your analysis is right, but that's the interest rate only in the 10th year. You have to apply the smaller rates in the years leading up to that; i. e. 4 x1.042 in year 2, 4 x 1.043 in year 3, etc. | |||
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Dylan Devil Trumpets and Angel Trombones ~ Level: 54 Posts: 357/1407 EXP: 1181697 For next: 52173 Since: 06-19-04 From: Ottawa, Canada. Since last post: 1 day Last activity: 6 hours |
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| Damn, I missed that. *Slaps forehead* Hmm... how would you express that in a short equation? |
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Heian-794 Red Super Koopa Level: 44 Posts: 308/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| Since the interest rate is a function of time, I'm guessing that you'd need to use a sum (sigma). Something involving "the sum from k=1 to 10 of (0.04 + 0.0104k)"; I'm too tired to give it any real effort. I myself calculated each term using a spreadsheet to get the value after 10 years. BTW, do either of these two sigmas display on Western PCs? : Σ ∑ (edited by Heian-794 on 07-21-04 05:11 PM) |
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JJ64 Boo Level: 45 Posts: 788/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| And Heian-794 gets the point. Scores 1st. Grey-17 points 2nd. Heian-794-12 points 3rd. NSNick-9 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Away from compound interest, and interest in general, for now. Question 56 (1 point)- What are the next 2 numbers in the series? 1, 5, 29, 259, #, # |
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Dylan Devil Trumpets and Angel Trombones ~ Level: 54 Posts: 363/1407 EXP: 1181697 For next: 52173 Since: 06-19-04 From: Ottawa, Canada. Since last post: 1 day Last activity: 6 hours |
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| The relationship is: 1x2+3=5 5x4+9=29 29x8+27=259 The multiplied number doubles each time, while the added number triples. 8x2=16, 27x3=81 >>> 259x16+81=4225 16x2=32, 81x3=243 >>> 4225x32+243=135443 1, 5, 29, 259, 4225, 135443 is the pattern. (edited by Gb boy on 07-21-04 09:33 PM) |
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JJ64 Boo Level: 45 Posts: 794/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Nope. That's the wrong pattern. This one is a more difficult pattern than my previous ones. Just think... | |||
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Heian-794 Red Super Koopa Level: 44 Posts: 311/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| Got it! 1 = 11 + 0 5 = 22 + 1 29 = 33 + 2 259 = 44 + 3 3129 = 55 + 4 46661 = 66 + 5 |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82  Posts: 233/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Well, if anything I'm learning how to recognize strange number patterns. | |||
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JJ64 Boo Level: 45 Posts: 799/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| It's always good to learn things, Grey. Also, this is called "Strange" Math Riddles. Scores 1st. Grey-17 points 2nd. Heian-794-13 points 3rd. NSNick-9 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 57 (1 point)- Solve this system of equations: w+y+z=x 3x+2w+y-z=90 6x-6w-4y-4z=30 45w-45x+56y-54x=20 |
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Heian-794 Red Super Koopa Level: 44 Posts: 312/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| 45w-45x+56y-54x=20 That should be "54z", not 54x, right? This one looks a little more tedious than the last... |
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Dylan Devil Trumpets and Angel Trombones ~ Level: 54 Posts: 375/1407 EXP: 1181697 For next: 52173 Since: 06-19-04 From: Ottawa, Canada. Since last post: 1 day Last activity: 6 hours |
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Originally posted by Grey Same here.  When they are solved they aren't at all complicated, but the actual process of figuring them them out is tough. Damnit Heian beat me to the last one! Arg...  (edited by Gb boy on 07-22-04 12:33 PM) |
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Heian-794 Red Super Koopa Level: 44 Posts: 314/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| GB, thanks to one of Nick's puzzles, I suddenly remembered that 4^4 was 256, and that 259 was really close to that. But I don't see why we're required to magically divine what pattern is in the problem-presenter's head. Any valid pattern should earn credit. Anyway, here's my attempt at the latest ordeal. Forgive the somewhat-ugly mixed fractions: w = 5 26/55 x = 20 26/55 y = 16 7/22 z = -29/22 (edited by Heian-794 on 07-23-04 03:48 PM) |
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JJ64 Boo Level: 45 Posts: 801/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| 4-variable equations, and it's still no problem for Heian-794. Scores 1st. Grey-17 points 2nd. Heian-794-14 points 3rd. NSNick-9 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Another fun number sequence. Question 58 (1 point)- Find the next 3 numbers in the sequence. 1, 11, 689, #, # ,# |
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Heian-794 Red Super Koopa Level: 44 Posts: 317/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| JJ, this can't be what you're looking for, but if we were to define the Nth term as being: (2n-3)(n-1)(2n-3) + (-1n)(10)(n-1)2 (don't worry, it only looks this complicated) ...we would get: n=1... -10-1 - 0 = 1 n=2... 111 + 10 = 11 n=3... 323 -40 = 689 ...and consequently: n=4... 535 + 90 = 3051758215 n=5... 747 - 160 = 459986536544739960976641 n=6... 959 + 250 = roughly 8.728x1042 But this can't be the real answer... (edited by Heian-794 on 07-24-04 03:12 AM) (edited by Heian-794 on 07-24-04 03:14 AM) |
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JJ64 Boo Level: 45 Posts: 811/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| I wonder how you got that. There were two possible acceptable solutions, and that was one of them. Scores 1st. Grey-17 points 2nd. Heian-794-15 points 3rd. NSNick-9 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 59 (1 point)- Solve for x: 4325x-438127458902=x |
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| Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles |
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