https://peda.net/id/cb72492442f 2018-04-18T14:22:35+03:00 https://peda.net/:static/532/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/01615080d8f 2018-10-26T10:23:16+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=n%E2%80%99(t)%3D%E2%88%922%7B%2C%7D1%5Ccdot3t%5E2%2B37%5Ccdot2t%E2%88%92155%5Ccdot1%2B0%3D%E2%88%926%7B%2C%7D3t%2B74t%E2%88%92155" alt="n’(t)=−2{,}1\cdot3t^2+37\cdot2t−155\cdot1+0=−6{,}3t+74t−155"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%E2%88%926%7B%2C%7D3t%5E2%2B74t%E2%88%92155%3D0" alt="−6{,}3t^2+74t−155=0"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n(0)%3D%E2%88%922%7B%2C%7D1%E2%8B%8503%2B37%E2%8B%8502%E2%88%92155%E2%8B%850%2B830%3D830" alt="n(0)=−2{,}1⋅03+37⋅02−155⋅0+830=830"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n(2%7B%2C%7D728%5Cdots)%3D%E2%88%922%7B%2C%7D1%5Ccdot2%7B%2C%7D728%5Cdots3%2B37%5Ccdot2%7B%2C%7D728%5Cdots2%E2%88%92155%5Ccdot2%7B%2C%7D728%5Cdots%2B830%3D639%7B%2C%7D879%5Cdots%5Capprox640" alt="n(2{,}728\dots)=−2{,}1\cdot2{,}728\dots3+37\cdot2{,}728\dots2−155\cdot2{,}728\dots+830=639{,}879\dots\approx640"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n(9%7B%2C%7D017%5Cdots)%3D%E2%88%922%7B%2C%7D1%5Ccdot9%7B%2C%7D017%5Cdots3%2B37%5Ccdot9%7B%2C%7D017%5Cdots2%E2%88%92155%5Ccdot9%7B%2C%7D017%5Cdots%2B830%3D901%7B%2C%7D106%5Cdots%5Capprox900" alt="n(9{,}017\dots)=−2{,}1\cdot9{,}017\dots3+37\cdot9{,}017\dots2−155\cdot9{,}017\dots+830=901{,}106\dots\approx900"/><br/> <div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(10%5Cright)%3D%E2%88%922%7B%2C%7D1%5Ccdot103%2B37%5Ccdot102%E2%88%92155%5Ccdot10%2B830%3D880" alt="n\left(10\right)=−2{,}1\cdot103+37\cdot102−155\cdot10+830=880"/></div> <br/> V: 640-900 lintua</div> 2018-10-26T10:23:16+03:00 https://peda.net/id/3dcc545e5f2 2018-05-24T11:27:05+03:00 1. C<br/> 2. A<br/> 3. B<br/> <br/> 2018-05-24T11:27:05+03:00 https://peda.net/id/81c795665f2 2018-05-24T10:46:02+03:00 31 000 - 7000 - 9000 - 2500 = 12 500 2018-05-24T10:46:02+03:00 https://peda.net/id/33e1d3e05e8 2018-05-23T15:24:13+03:00 56 000 / 0.8422 = 66.492 2018-05-23T15:24:13+03:00 https://peda.net/id/83ec8e0259a 2018-05-17T11:30:11+03:00 A. myynti<br/> b. 7481€<br/> <br/> 2018-05-17T11:30:11+03:00 https://peda.net/id/8b24e3dc59a 2018-05-17T11:23:14+03:00 A. 1<br/> B. 2<br/> C. 3<br/> D. 4 2018-05-17T11:23:14+03:00 https://peda.net/id/c9bdfdbe59a 2018-05-17T11:17:49+03:00 a. seteli<br/> b. myynti<br/> c. 24 410<br/> <br/> 2018-05-17T11:17:49+03:00 https://peda.net/id/55f862d8590 2018-05-16T15:45:16+03:00 <a href="https://peda.net/p/er%C3%A4.jorma/mab6/401/imagesad-jpeg#top" title="imagesad.jpeg"><img src="https://peda.net/p/er%C3%A4.jorma/mab6/401/imagesad-jpeg:file/photo/8737a6bc075ae7b3eb7d8f5c32df4a49e75626df/imagesad.jpeg" alt="" title="imagesad.jpeg" class="inline" loading="lazy"/></a> 2018-05-16T15:40:38+03:00 https://peda.net/id/005c1376576 2018-05-14T13:29:56+03:00 <span>Ikkunoita uusittu 2010 ja uusi ulko-ovi. Remontin tarvetta runsaasti.<br/> -Hinta 21 000€<br/> <br/> -Voisin saada 21 000€ lainaa, omaa pääomaa pitäisi olla 6300€ lainantakaukseen<br/> -lainan kokonaiskustannukset olisivat 28 600€<br/> <br/> -lainaksi valitsisin tasalyhenteisen lainan ja sen kuukausittainen maksuerä olisi 76€ 30 vuoden maksuajalla. korko 2.25%<br/> <br/> </span> 2018-05-14T13:17:26+03:00 https://peda.net/id/31076b7e54e 2018-05-11T10:09:05+03:00 <!--filtered tag: <h5--><!--&gt;-->a.  <!--filtered end tag: </h5>--> <br/> b. 2018-05-11T10:09:05+03:00 https://peda.net/id/c09fb416537 2018-05-09T14:47:29+03:00 a. 200 * 492 = 98 400€<br/> <br/> b. 8400€<br/> <br/> 2018-05-09T14:47:29+03:00 https://peda.net/id/7446a91e51d 2018-05-07T13:00:28+03:00 <a href="https://peda.net/p/er%C3%A4.jorma/mab6/311/taulukko-jpeg#top" title="taulukko.jpeg"><img src="https://peda.net/p/er%C3%A4.jorma/mab6/311/taulukko-jpeg:file/photo/5a50ede005632cfe7947b44801b386c4d1db9623/taulukko.jpeg" alt="" title="taulukko.jpeg" class="inline" loading="lazy"/></a> 2018-05-07T13:00:21+03:00 https://peda.net/id/2243945651d 2018-05-07T12:58:03+03:00 A. 6000<br/> <br/> B. 6000 * 0.058 =348€ 3000 + 348€ = 3348€<br/> <br/> 2018-05-07T12:58:03+03:00 https://peda.net/id/2b2af6824ea 2018-05-03T11:38:52+03:00 A. 2000€<br/> B. 12 000€ * 0.03 = 360€<br/> C. 2000€ * 0.03 = 60€<br/> <br/> 2018-05-03T11:37:09+03:00 https://peda.net/id/f2ce174c4ea 2018-05-03T11:35:34+03:00 A. 4<br/> B. 4000€ * 0.05 = 200€<br/> C. 1200€<br/> <br/> <br/> 2018-05-03T11:35:34+03:00 https://peda.net/id/e8cfc4ea4ea 2018-05-03T11:20:59+03:00 25 000€ / 50 = 500€ 2018-05-03T11:20:59+03:00 https://peda.net/id/5b442bd84e0 2018-05-02T15:43:04+03:00 <!--StartFragment --> <img src="https://gyazo.com/4523ac608e50172c39f48c3f263e6df4.png"/><br/> <a href="https://gyazo.com/4523ac608e50172c39f48c3f263e6df4" target="_blank" rel="nofollow ugc noopener">https://gyazo.com/4523ac608e50172c39f48c3f263e6df4</a> 2018-05-02T15:43:04+03:00 https://peda.net/id/c418a5364e0 2018-05-02T15:38:50+03:00 12 000 * 1.025^7 = 14 264,229... € 2018-05-02T15:38:50+03:00 https://peda.net/id/75360d744e0 2018-05-02T15:29:28+03:00 A. 0.7 * 0.02 = 0,014% <br/> <br/> B. 550€ * 1.014^4 = 581,452... €<br/> <br/> <br/> 2018-05-02T15:29:28+03:00 https://peda.net/id/49120ea64e0 2018-05-02T15:21:05+03:00 A. 1.025 kertaiseksi<br/> <br/> <br/> B. <span>300€ * 1.025^1 = 307.5€<br/> </span>300€ * 1.025^2= 315,187.. €<br/> <br/> 2018-05-02T15:21:05+03:00 https://peda.net/id/66c627044e0 2018-05-02T15:07:36+03:00 <!--StartFragment --> <img src="https://gyazo.com/a6b3dc1935088eff4f431a99f32c2be9.png"/><br/> <a href="https://gyazo.com/a6b3dc1935088eff4f431a99f32c2be9" target="_blank" rel="nofollow ugc noopener">https://gyazo.com/a6b3dc1935088eff4f431a99f32c2be9</a> 2018-05-02T15:07:36+03:00 https://peda.net/id/66d64754492 2018-04-26T11:25:39+03:00 <img src="https://i.gyazo.com/e4450d36c02ac4092c81149ebc903cfa.png"/><br/> 90*12 + 8.19 = 1088,19€ 2018-04-26T11:25:39+03:00 https://peda.net/id/097848a6492 2018-04-26T11:36:06+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=12%5Ccdot35%5C%20%2B%5C%2012%5C%20%5Ccdot%5Cfrac%7B1%2B0.08%7D%7B2%7D%3D420%E2%82%AC%5C%20%2B6%7B%2C%7D48%E2%82%AC%5C%20%3D%5C%20426%7B%2C%7D48%E2%82%AC" alt="12\cdot35\ +\ 12\ \cdot\frac{1+0.08}{2}=420€\ +6{,}48€\ =\ 426{,}48€"/><br/> <img src="https://i.gyazo.com/35a175d54fe9db042e2b6ebfd855bc1a.png"/> 2018-04-26T11:15:53+03:00 https://peda.net/id/b94ba02a492 2018-04-26T10:45:00+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cbegin%7Barray%7D%7Bl%7Cl%7D%0A%26korkoaika%5C%20%5Cleft(kk%5Cright)%26korkoaa%5C%20%5Cleft(vuosi%5Cright)%26talletukselle%5C%20maksettava%5C%20korko%5C%5C%0A%5Chline%0A1.talletus%2612%261%26100%5C%20%5Ccdot%5C%2000050%5C%20%5Ccdot1%5C%20%3D0%7B%2C%7D50%5C%5C%0A2.talletus%2611%26%5Cfrac%7B11%7D%7B12%7D%26100%5Ccdot00050%5Ccdot%5Cfrac%7B11%7D%7B12%7D%3D0%7B%2C%7D46%5C%5C%0A3.talletus%2610%26%5Cfrac%7B10%7D%7B12%7D%26100%5Ccdot0%7B%2C%7D0050%5Ccdot%5Cfrac%7B10%7D%7B12%7D%3D0%7B%2C%7D42%5C%5C%0A11.talletus%262%26%5Cfrac%7B2%7D%7B12%7D%26100%5Ccdot0%7B%2C%7D0050%5Ccdot%5Cfrac%7B2%7D%7B12%7D%3D0%7B%2C%7D08%5C%5C%0A12.talletus%261%26%5Cfrac%7B1%7D%7B12%7D%26100%5Ccdot0%7B%2C%7D0050%5Ccdot%5Cfrac%7B1%7D%7B12%7D%3D%5C%200%7B%2C%7D04%0A%5Cend%7Barray%7D" alt="\begin{array}{l|l}&#10;&amp;korkoaika\ \left(kk\right)&amp;korkoaa\ \left(vuosi\right)&amp;talletukselle\ maksettava\ korko\\&#10;\hline&#10;1.talletus&amp;12&amp;1&amp;100\ \cdot\ 00050\ \cdot1\ =0{,}50\\&#10;2.talletus&amp;11&amp;\frac{11}{12}&amp;100\cdot00050\cdot\frac{11}{12}=0{,}46\\&#10;3.talletus&amp;10&amp;\frac{10}{12}&amp;100\cdot0{,}0050\cdot\frac{10}{12}=0{,}42\\&#10;11.talletus&amp;2&amp;\frac{2}{12}&amp;100\cdot0{,}0050\cdot\frac{2}{12}=0{,}08\\&#10;12.talletus&amp;1&amp;\frac{1}{12}&amp;100\cdot0{,}0050\cdot\frac{1}{12}=\ 0{,}04&#10;\end{array}"/><br/> <div> </div> <div>maksettavien korkojen määrä muodostaa aritmeettisen jonon, jolloin korkojen summa saadaan laskettua aritmeettisena summana:</div> <div>Yhteenlaskettavia on n=12</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=S_%7B12%7D%3D12%5Ccdot%5Cfrac%7B0%7B%2C%7D50%2B0%7B%2C%7D04%7D%7B2%7D%3D3%7B%2C%7D24" alt="S_{12}=12\cdot\frac{0{,}50+0{,}04}{2}=3{,}24"/></div> <span>korkoja maksetaan talletuksille yhteensä 3,24€</span> <div>Vuoden kuluttua ensimmäisestä talletuksesta tilillä on rahaa yhteensä</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=12%5Ccdot100%E2%82%AC%5C%20%2B%5C%203%7B%2C%7D24%E2%82%AC%3D1203%7B%2C%7D24%E2%82%AC" alt="12\cdot100€\ +\ 3{,}24€=1203{,}24€"/><br/> <br/> <br/> <br/> <br/> <br/> <img src="https://i.gyazo.com/2014a8be23de538c3c9693c2b41c2e16.png"/></div> 2018-04-26T10:45:00+03:00 https://peda.net/id/8adcb774488 2018-04-25T15:38:23+03:00 A. 0.7 * 1.5 = 1.05%<br/> <br/> B. 1000 * 0.015 * 0.7 = 10,5€<br/> <br/> C. 1000€ + 10,5€ = 1010,5€<br/> <br/> 2018-04-25T15:38:23+03:00 https://peda.net/id/e435473e488 2018-04-25T15:27:09+03:00 200 / 100 * 30 = 60€ 2018-04-25T15:26:34+03:00 https://peda.net/id/abe693e2488 2018-04-25T15:24:59+03:00 a. 10€<br/> <br/> b. 510€<br/> <br/> 2018-04-25T15:24:59+03:00 https://peda.net/id/7fef7ddc487 2018-04-25T14:33:39+03:00 a. 65 000€ - 3500€ - 5000 /100 * 13 = 61 500 - 650 = 60 850<br/> <br/> b. 65 000€ - 4700€ - 10 000 / 100 * 12 = 60 300€ - 1200€ = 59 100€<br/> <br/> 2018-04-25T14:33:39+03:00 https://peda.net/id/f86824fa46e 2018-04-23T14:03:36+03:00 a. 1.24 * X = 510 € || :1.24<br/> X= 411,290...<br/> <br/> b. 1.24 * X = 19,90€ || :1.24<br/> X= 16,048...<br/> <br/> <br/> c. 1.14 * X = 7,50€  || :1.14<br/> X= 6,578... 2018-04-23T14:03:36+03:00 https://peda.net/id/82ff896646e 2018-04-23T13:53:09+03:00 a. 14%<br/> b. 7€<br/> c. 57€<br/> <br/> 2018-04-23T13:53:09+03:00 https://peda.net/id/1d3b538046e 2018-04-23T13:50:19+03:00 A. 10k<br/> B. 10000€ / 100 x 30 = 3000€<br/> <br/> 2018-04-23T13:50:19+03:00 https://peda.net/id/a963880646e 2018-04-23T13:47:04+03:00 a.  30%<br/> b. 7000€ / 100 x 30 =2100€<br/> <br/> 2018-04-23T13:47:04+03:00 https://peda.net/id/8a031e2043a 2018-04-19T11:34:56+03:00 a. 1900 / 100 x 16 = 304€<br/> b. 2058,33 / 100 x 16= 329,3328 € + 241,67 /100 x 41,5 = 100,293€<br/> 329,3 + 100,3 = 429,6 €<br/> <br/> <br/> 2018-04-19T11:34:56+03:00 https://peda.net/id/49130a3e43a 2018-04-19T11:25:57+03:00 a. 5646 €<br/> b. 30 000/ 100 x 21 = 6 300 €<br/> c. 5646 / 100 x 44,5 = 2512,47 €<br/> d. 6300 € + 2512,47€ = 7 812,47 €<br/> <br/> 2018-04-19T11:25:57+03:00 https://peda.net/id/d7533cc043a 2018-04-19T11:22:47+03:00 a. 686,84 / 3712,89 = 0,1849.. = 18%<br/> b. 1946,21 - 1708,86 = 237,35<br/> 235,35 / 1946,21 = 0.1209... = 12%<br/> <br/> 2018-04-19T11:22:47+03:00 https://peda.net/id/4277a38443a 2018-04-19T11:18:37+03:00 65 000 / 100 x 1 = 650€ 2018-04-19T11:18:37+03:00 https://peda.net/id/fbcb124043a 2018-04-19T11:16:38+03:00 a. 3000 / 100 x 31 = 930€<br/> b. 2070€<br/> <br/> 2018-04-19T11:16:38+03:00 https://peda.net/id/a37e3e5043a 2018-04-19T11:14:10+03:00 8107,49-7894,20 = 213,29 2018-04-19T11:14:10+03:00 https://peda.net/id/74bb298643a 2018-04-19T10:22:45+03:00 a. 100% - 67,7 = 32,3%<br/> b. <br/> <br/> <br/> 2018-04-19T10:22:45+03:00 https://peda.net/id/33cb2c5e430 2018-04-18T15:22:46+03:00 a, 18-11 = 7<br/> b, 9% - 5,5% = 3,5% 2018-04-18T15:22:46+03:00 https://peda.net/id/6dd9887e430 2018-04-18T15:17:14+03:00 5% 2018-04-18T15:17:14+03:00 https://peda.net/id/ed1d9cc0430 2018-04-18T15:13:38+03:00 a. 15,228<br/> b. 15,9957<br/> c. 11,606<br/> <br/> 2018-04-18T15:13:38+03:00 https://peda.net/id/5bfcca4a430 2018-04-18T15:09:35+03:00 a. 61<br/> b. 0.5<br/> c. 110 2018-04-18T15:09:35+03:00 https://peda.net/id/208b04c2430 2018-04-18T15:07:55+03:00 a. 0.73<br/> b. 1,57<br/> c. 0.008<br/> <br/> 2018-04-18T15:07:55+03:00 https://peda.net/id/001c63fc430 2018-04-18T15:07:01+03:00 a. 50<br/> b. 25<br/> c. 60<br/> <br/> 2018-04-18T15:07:01+03:00