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| Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles |
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NSNick Laidback Admin Level: 85  Posts: 688/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| (-3, 16 (-2, 15) (-1, 9) (0, 1) (1, -3) (2, 3) (3, 25) (4, 69) |
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neotransotaku Baby Mario 戻れたら、 誰も気が付く Level: 87 Posts: 1034/4016 EXP: 6220548 For next: 172226 Since: 03-15-04 From: Outside of Time/Space Since last post: 11 hours Last activity: 1 hour |
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(1,-3) (2,3) (3,25) (4,69) (5,141) (6,247) (7,393) be me too it  (edited by neotransotaku on 07-18-04 08:22 PM) |
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JJ64 Boo Level: 45 Posts: 758/919 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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| NSNick with another point... Scores 1st. Grey-14 points 2nd. Heian-794-10 points 3rd. Kirby all the way-8 points 3rd. NSNick-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. Teddylot-0 points Question 50 (1 point)- Solve the system of equations: 4x+5y=35 x=7y+2 |
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NSNick Laidback Admin Level: 85 Posts: 690/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| x = 7.7272727272727272 (repeating) y = .818181818181818181 (repeating) |
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JJ64 Boo Level: 45 Posts: 759/919 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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| The 3rd point in a row by NSNick... Scores 1st. Grey-14 points 2nd. Heian-794-10 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. Teddylot-0 points Hopefully this is a challenge... Question 51 (1 point)- Find the integral of this equation: x |
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NSNick Laidback Admin Level: 85 Posts: 696/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| On a roll. Whee! 3x^2 + 4x - 6 |
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JJ64 Boo Level: 45 Posts: 760/919 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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| Close. That's the derivitive of the equation rather than the integral. Just do the opposite of that. | |||
Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82  Posts: 210/3770 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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| (1/4)X^4 + (2/3)X^3 - 3X^2 + C. EDIT: Whoops, forgot the + C. What was that, Heian? (edited by Grey on 07-19-04 02:33 PM) |
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NSNick Laidback Admin Level: 85 Posts: 699/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| Oops. I can't read. Grey's got it. | |||
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JJ64 Boo Level: 45 Posts: 764/919 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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| NSNick is down by 6, Heian-794 by 5. Grey's still got a good hold. Scores 1st. Grey-15 points 2nd. Heian-794-10 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. Teddylot-0 points In honor of NSNick... Question 52 (1 point)- Find the derivitive of this equation: 3x^7+2x^6-3x^5-6x^4+7x^3-x^2 |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 213/3770 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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| 21X^6 + 12X^5 - 15X^4 - 24X^3 + 21X^2 - 2X Don't need a + C that time. |
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JJ64 Boo Level: 45 Posts: 778/919 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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| Grey goes farther into the lead... again. Scores 1st. Grey-16 points 2nd. Heian-794-10 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. Teddylot-0 points Question 53 (1 point)- Name 8 points on the line: y=7x^7-x^6-x^5+4x^4+3x^3-8x^2-2x-1 |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 220/3770 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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| (1,1), (2,851), (3, 14663), (4, 110647), (0, -1), (-1, -13), (-2, -917), (-3, -15619). To get it, you just plug 8 different X values into the equation and multiply it out. In hindsight, that probably would have been easier if I had just tabled it on a calculator... |
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Heian-794 Red Super Koopa Level: 44 Posts: 290/896 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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| Grey, you're too quick!! | |||
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 224/3770 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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| I'm sorry, I'll try to make sure you can score points next time. Seriously though, I had just woken up and didn't read the time of the post. If there's a limit then I'll observe it. Nine minutes is a bit much... Sorry. (edited by Grey on 07-20-04 01:31 PM) |
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JJ64 Boo Level: 45 Posts: 780/919 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 don't mind. Of course, I'm the host. Scores 1st. Grey-17 points 2nd. Heian-794-10 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. Teddylot-0 points Over halfway through... Question 54 (1 point)- You deposit $5000 in an account. The compound interest increases at a rate of 1.04% a year. If the rate starts at 4%, how much will you have after 10 years? |
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Dylan Devil Trumpets and Angel Trombones ~ Level: 54  Posts: 349/1407 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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| 4x1.04x1.04x1.04x1.04x1.04x1.04x1.04x1.04x1.04=5.693247249685938176 5000x5.693247249685938176=28466.23624842969088/100 =284.6623624842969088+5000=5284.6623624842969088 I'll round that... $5284.66 |
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Heian-794 Red Super Koopa Level: 44 Posts: 294/896 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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| You deposit $5000 in an account. The compound interest increases at a rate of 1.04% a year. If the rate starts at 4%, how much will you have after 10 years? It isn't clear what "increases at a rate of 1.04% a year" means. If this means that the interest rate you're getting is 4% in year 1, and then 5.04% in year 2, and 6.08% in year 3, etc., which is what it literally sounds like, this is a really unrealistic investment since no bank could ever make such huge payments. If the interest rate of 4% grows by 1.04% of the original rate every year, you've got an interest rate of 4.0000% in year 1, 4.1600% in year 2, 4.3264% in year 3, etc. This is somewhat imaginable. Anyway, I'll analyze both, compounding annually in both cases:
Therefore, (1) Somewhat-realistic rates: $7991.46 (1) Ridiculously-expanding reverse-loan-sharkish interest rate: $11450.51 Someone tell me where I can get either of these plans; here in Japan we get 0.001% interest on our savings, and in a year, $5000 earns me a nickel in interest per year, and $0.500025 (or 50c) in ten years! (Edited to make the table look nice) (edited by Heian-794 on 07-21-04 03:07 AM) (edited by Heian-794 on 07-21-04 03:08 AM) |
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JJ64 Boo Level: 45 Posts: 782/919 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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| Heian-794 is more accurate... Scores 1st. Grey-17 points 2nd. Heian-794-11 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 55 (1 point)- Solve the system of equations: y+z=x 2z+x+y=60 5x-7y+z=50 (edited by JJ64 on 07-21-04 09:32 AM) |
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Heian-794 Red Super Koopa Level: 44 Posts: 297/896 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, which was the interest rate you had in mind? And my answer to the next one (OK Grey, I guess I can't complain that you see the posts first this time...) X = 60 + 1520/11 Y = 60 + 2280/11 Z = -760/11 Simplified: X = 2180/11 Y = 2940/11 Z = -760/11 Edited: Hey, wait a minute! The first time I saw this post, the third equation was 5x-7y=40! Now I have to solve it again! OK, here are my answers to these three equations: y+z=x 2z+x+y=60 5x-7y+z=50 x = 30 - 55/9 y = 30 - 55/3 z = 110/9 Simplified: x = 215/9, y = 35/3, z = 110/9 (edited by Heian-794 on 07-21-04 09:42 AM) (edited by Heian-794 on 07-21-04 09:49 AM) |
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