<?xml version="1.0" encoding="utf-8"?>
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<title>Etätehtävät</title>
<id>https://peda.net/id/4ac528267ef</id>
<updated>2020-04-15T11:08:29+03:00</updated>
<link href="https://peda.net/id/4ac528267ef:atom" rel="self" />
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t#top" rel="alternate" />
<logo>https://peda.net/:static/535/peda.net.logo.bg.svg</logo>
<rights type="html">&lt;div class=&quot;license&quot;&gt;Tämän sivun lisenssi &lt;a rel=&quot;license&quot; href=&quot;https://peda.net/info&quot;&gt;Peda.net-yleislisenssi&lt;/a&gt;&lt;/div&gt;&#10;</rights>

<entry>
<title>536</title>
<id>https://peda.net/id/69d94ebe99b</id>
<updated>2020-05-19T12:54:32+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/536#top" />
<content type="html">a)&lt;br/&gt;&#10;ostohinta 6274,12€&lt;br/&gt;&#10;myyntitulot 8715,96€&lt;br/&gt;&#10;tuotto ennen veroja 2441,84€&lt;br/&gt;&#10;tuotto verojen jälkeen 1709,29€&lt;br/&gt;&#10;b) prosentteina&lt;br/&gt;&#10;tuotto/ostohinta=0,272435...=27,2%</content>
<published>2020-05-19T12:52:12+03:00</published>
</entry>

<entry>
<title>533</title>
<id>https://peda.net/id/08cbd90c99b</id>
<updated>2020-05-19T12:49:29+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/533#top" />
<content type="html">a) 1624&lt;br/&gt;&#10;b) 3350€&lt;br/&gt;&#10;c) 3350-0,85*0,3*3350=2495,75€</content>
<published>2020-05-19T12:49:29+03:00</published>
</entry>

<entry>
<title>532</title>
<id>https://peda.net/id/ce0e326099b</id>
<updated>2020-05-19T12:47:51+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/532#top" />
<content type="html">a)&lt;br/&gt;&#10;5,04%&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;700-0,85*0,3*700=521,5€</content>
<published>2020-05-19T12:47:51+03:00</published>
</entry>

<entry>
<title>527</title>
<id>https://peda.net/id/85b65d0899b</id>
<updated>2020-05-19T12:45:49+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/527#top" />
<content type="html">a) 4€&lt;br/&gt;&#10;b) 6,21€&lt;br/&gt;&#10;c) esimerkiksi 24.6.2013&lt;br/&gt;&#10;d) esimerkiksi 28.10.2013</content>
<published>2020-05-19T12:45:49+03:00</published>
</entry>

<entry>
<title>509</title>
<id>https://peda.net/id/be2e366898b</id>
<updated>2020-05-18T06:37:18+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/509#top" />
<content type="html">a)&lt;br/&gt;&#10;3100€&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;1100€=1,24x&lt;br/&gt;&#10;arvonlisäveroa tilitetään 1100€-x=212,90€</content>
<published>2020-05-18T06:36:22+03:00</published>
</entry>

<entry>
<title>508</title>
<id>https://peda.net/id/6aa3e37698b</id>
<updated>2020-05-18T06:34:01+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/508#top" />
<content type="html">a)&lt;br/&gt;&#10;6780€&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;6780€/75€=90,4&lt;br/&gt;&#10;yrityksen on huollettava vähintään 91 tietokonetta</content>
<published>2020-05-18T06:34:01+03:00</published>
</entry>

<entry>
<title>506</title>
<id>https://peda.net/id/b3d02b6498b</id>
<updated>2020-05-18T06:28:55+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/506#top" />
<content type="html">1200+20x=80x&lt;br/&gt;&#10;1200=60x&lt;br/&gt;&#10;x=20</content>
<published>2020-05-18T06:28:55+03:00</published>
</entry>

<entry>
<title>505</title>
<id>https://peda.net/id/564dfd4098b</id>
<updated>2020-05-18T06:26:18+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/505#top" />
<content type="html">yrityksen tulos:&lt;br/&gt;&#10;125*90-800-20*90=8650€</content>
<published>2020-05-18T06:26:18+03:00</published>
</entry>

<entry>
<title>441</title>
<id>https://peda.net/id/cec8930e967</id>
<updated>2020-05-15T09:03:33+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/441#top" />
<content type="html">a)&lt;br/&gt;&#10;rupla euroina aluksi&lt;br/&gt;&#10;1/68,411=0,01462€&lt;br/&gt;&#10;rupla euroina lopuksi&lt;br/&gt;&#10;1/63,655=0,01571€&lt;br/&gt;&#10;b) rupla revalvoitui euroon nähden&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B0%7B%2C%7D01571%7D%7B0%7B%2C%7D01462%7D%3D1%7B%2C%7D074555...%5Capprox7%7B%2C%7D46%5C%25&quot; alt=&quot;\frac{0{,}01571}{0{,}01462}=1{,}074555...\approx7{,}46\%&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-05-15T09:03:33+03:00</published>
</entry>

<entry>
<title>437</title>
<id>https://peda.net/id/5a3f6e90967</id>
<updated>2020-05-15T09:00:17+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/437#top" />
<content type="html">a)&lt;br/&gt;&#10;myyntikurssia&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;500000*66,8331=7481,33€</content>
<published>2020-05-15T09:00:17+03:00</published>
</entry>

<entry>
<title>435</title>
<id>https://peda.net/id/2e5900ee967</id>
<updated>2020-05-15T08:51:54+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/435#top" />
<content type="html">a)&lt;br/&gt;&#10;0,039€*1200=46,8€&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;24x=1200&lt;br/&gt;&#10;x=50€</content>
<published>2020-05-15T08:51:54+03:00</published>
</entry>

<entry>
<title>433</title>
<id>https://peda.net/id/9a5f50d2966</id>
<updated>2020-05-15T08:47:46+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/433#top" />
<content type="html">100*300,72=30072 HUF</content>
<published>2020-05-15T08:47:46+03:00</published>
</entry>

<entry>
<title>410</title>
<id>https://peda.net/id/9a565b3893c</id>
<updated>2020-05-12T00:30:15+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/410#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;img src=&quot;https://i.imgur.com/Yj6ErmO.png&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;kahvipaketin hinta nousi suhteellisesti enemmän&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;&lt;img src=&quot;https://i.imgur.com/avUVSg0.png&quot;/&gt;&lt;br/&gt;&#10;indeksi sopii absoluuttista hintaa paremmin hintakehityksen havainnollistamiseen, sillä kahvipaketin hinta mitataan parissa eurossa kun kaksion neliöhinta mitataan parissa tuhannessa eurossa</content>
<published>2020-05-12T00:30:14+03:00</published>
</entry>

<entry>
<title>405</title>
<id>https://peda.net/id/b6aa707c93c</id>
<updated>2020-05-12T00:23:53+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/405#top" />
<content type="html">&lt;img src=&quot;https://i.imgur.com/I3ZABxa.png&quot;/&gt;</content>
<published>2020-05-12T00:23:53+03:00</published>
</entry>

<entry>
<title>404</title>
<id>https://peda.net/id/fc07ed0893c</id>
<updated>2020-05-12T00:18:39+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/404#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;img src=&quot;https://i.imgur.com/LXIkHrW.png&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;1-0,79318...=~0,2068=20,7%</content>
<published>2020-05-12T00:18:39+03:00</published>
</entry>

<entry>
<title>338</title>
<id>https://peda.net/id/f617c36c8f7</id>
<updated>2020-05-06T11:31:20+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/338#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=q%3D%5Cfrac%7B2%7B%2C%7D00%5C%25%7D%7B12%7D%3D0%7B%2C%7D1666...%5C%25&quot; alt=&quot;q=\frac{2{,}00\%}{12}=0{,}1666...\%&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=n%3D25%5Ccdot12%3D300&quot; alt=&quot;n=25\cdot12=300&quot;/&gt;&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=A%3D350000%E2%82%AC%5Ccdot1%7B%2C%7D00166...%5E%7B300%7D%5Ccdot%5Cfrac%7B1-1%7B%2C%7D00166...%7D%7B1-1%7B%2C%7D00166...%5E%7B300%7D%7D%3D1482%7B%2C%7D1274...%5Capprox1482%7B%2C%7D13%E2%82%AC&quot; alt=&quot;A=350000€\cdot1{,}00166...^{300}\cdot\frac{1-1{,}00166...}{1-1{,}00166...^{300}}=1482{,}1274...\approx1482{,}13€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt; &lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=k%3D17%5Ccdot12%2B9%3D213&quot; alt=&quot;k=17\cdot12+9=213&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=V%3D350000%E2%82%AC%5Ccdot1%7B%2C%7D00166...%5E%7B213%7D-1482%7B%2C%7D13%E2%82%AC%5Ccdot%5Cfrac%7B1-1%7B%2C%7D00166%5E%7B213%7D%7D%7B1-1%7B%2C%7D00166%7D%3D119973%7B%2C%7D2738%5Capprox119973%7B%2C%7D28%E2%82%AC&quot; alt=&quot;V=350000€\cdot1{,}00166...^{213}-1482{,}13€\cdot\frac{1-1{,}00166^{213}}{1-1{,}00166}=119973{,}2738\approx119973{,}28€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-05-06T11:31:20+03:00</published>
</entry>

<entry>
<title>334</title>
<id>https://peda.net/id/1fa2622e8f7</id>
<updated>2020-05-06T11:25:20+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/334#top" />
<content type="html">&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=q%3D%5Cfrac%7B5%7B%2C%7D76%5C%25%7D%7B4%7D%3D1%7B%2C%7D44%5C%25&quot; alt=&quot;q=\frac{5{,}76\%}{4}=1{,}44\%&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=n%3D3%5Ccdot4%3D12&quot; alt=&quot;n=3\cdot4=12&quot;/&gt;&lt;!--filtered attribute: style=&quot;display: inline;&quot;--&gt;&lt;/div&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=A%3D10800%5Ccdot1%7B%2C%7D0144%5E%7B12%7D%5Ccdot%5Cfrac%7B1-1%7B%2C%7D0144%7D%7B1-1%7B%2C%7D0144%5E%7B12%7D%7D%3D986%7B%2C%7D4469...%5Capprox986%7B%2C%7D45%E2%82%AC&quot; alt=&quot;A=10800\cdot1{,}0144^{12}\cdot\frac{1-1{,}0144}{1-1{,}0144^{12}}=986{,}4469...\approx986{,}45€&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=A%5Ccdot%20n%5Capprox11837%7B%2C%7D37%E2%82%AC&quot; alt=&quot;A\cdot n\approx11837{,}37€&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=11837%7B%2C%7D37-10800%E2%82%AC%3D1037%7B%2C%7D37%E2%82%AC&quot; alt=&quot;11837{,}37-10800€=1037{,}37€&quot;/&gt;</content>
<published>2020-05-06T11:25:20+03:00</published>
</entry>

<entry>
<title>331</title>
<id>https://peda.net/id/9a5426528f7</id>
<updated>2020-05-06T11:21:36+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/331#top" />
<content type="html">&lt;div&gt;a) 25*12=300&lt;/div&gt;&#10;&lt;div&gt;b) &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7B%2C%7D3%5C%25%7D%7B12%7D%3D0%7B%2C%7D108333...&quot; alt=&quot;\frac{1{,}3\%}{12}=0{,}108333...&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=q%3D1%7B%2C%7D0010833...&quot; alt=&quot;q=1{,}0010833...&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;c)&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=A%3DK%5Ccdot%20q%5En%5Ccdot%5Cfrac%7B1-q%7D%7B1-q%5En%7D&quot; alt=&quot;A=K\cdot q^n\cdot\frac{1-q}{1-q^n}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=A%3D115000%E2%82%AC%5Ccdot1%7B%2C%7D0010833...%5E%7B300%7D%5Ccdot%5Cfrac%7B1-1%7B%2C%7D0010833...%7D%7B1-1%7B%2C%7D0010833...%5E%7B300%7D%7D%3D449%7B%2C%7D1968...%5Capprox449%7B%2C%7D20%E2%82%AC&quot; alt=&quot;A=115000€\cdot1{,}0010833...^{300}\cdot\frac{1-1{,}0010833...}{1-1{,}0010833...^{300}}=449{,}1968...\approx449{,}20€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-05-06T11:21:36+03:00</published>
</entry>

<entry>
<title>311</title>
<id>https://peda.net/id/e6e8473489f</id>
<updated>2020-04-29T12:07:50+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/311#top" />
<content type="html">&lt;img src=&quot;https://i.imgur.com/0eXyaFn.png&quot;/&gt;</content>
<published>2020-04-29T12:07:50+03:00</published>
</entry>

<entry>
<title>308</title>
<id>https://peda.net/id/38125e4889f</id>
<updated>2020-04-29T12:02:57+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/308#top" />
<content type="html">a) korkokanta on 0,2%+1,1%=1,3%&lt;br/&gt;&#10;b) 150000€/20*12=625€&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;ensimmäinen maksuerä: 625+150000*1,3%/12=787,5€&lt;br/&gt;&#10;viimeinen maksuerä: 625+625*1,3/12=625,68€</content>
<published>2020-04-29T12:02:57+03:00</published>
</entry>

<entry>
<title>306</title>
<id>https://peda.net/id/bad4fa8089f</id>
<updated>2020-04-29T11:59:27+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/306#top" />
<content type="html">&lt;table border=&quot;1&quot;&gt;&#10;&lt;tbody&gt;&#10;&lt;tr&gt;&#10;&lt;td&gt;maksukerta&lt;/td&gt;&#10;&lt;td&gt;ennen lyhennystä&lt;/td&gt;&#10;&lt;td&gt;korko&lt;/td&gt;&#10;&lt;td&gt;lyhennys&lt;/td&gt;&#10;&lt;td&gt;maksuerä&lt;/td&gt;&#10;&lt;td&gt;lyhennyksen jälkeen&lt;/td&gt;&#10;&lt;/tr&gt;&#10;&lt;tr&gt;&#10;&lt;td&gt;1&lt;/td&gt;&#10;&lt;td&gt;5000&lt;/td&gt;&#10;&lt;td&gt;450&lt;/td&gt;&#10;&lt;td&gt;1250&lt;/td&gt;&#10;&lt;td&gt;1700&lt;/td&gt;&#10;&lt;td&gt;3750&lt;/td&gt;&#10;&lt;/tr&gt;&#10;&lt;tr&gt;&#10;&lt;td&gt;2&lt;/td&gt;&#10;&lt;td&gt;3750&lt;/td&gt;&#10;&lt;td&gt;337,5&lt;/td&gt;&#10;&lt;td&gt;1250&lt;/td&gt;&#10;&lt;td&gt;1587,5&lt;/td&gt;&#10;&lt;td&gt;2500&lt;/td&gt;&#10;&lt;/tr&gt;&#10;&lt;tr&gt;&#10;&lt;td&gt;3&lt;/td&gt;&#10;&lt;td&gt;2500&lt;/td&gt;&#10;&lt;td&gt;225&lt;/td&gt;&#10;&lt;td&gt;1250&lt;/td&gt;&#10;&lt;td&gt;1475&lt;/td&gt;&#10;&lt;td&gt;1250&lt;/td&gt;&#10;&lt;/tr&gt;&#10;&lt;tr&gt;&#10;&lt;td&gt;4&lt;/td&gt;&#10;&lt;td&gt;1250&lt;/td&gt;&#10;&lt;td&gt;112,5&lt;/td&gt;&#10;&lt;td&gt;1250&lt;/td&gt;&#10;&lt;td&gt;1362,5&lt;/td&gt;&#10;&lt;td&gt;0&lt;/td&gt;&#10;&lt;/tr&gt;&#10;&lt;/tbody&gt;&#10;&lt;/table&gt;</content>
<published>2020-04-29T11:59:27+03:00</published>
</entry>

<entry>
<title>303</title>
<id>https://peda.net/id/cba3768089f</id>
<updated>2020-04-29T11:52:45+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/303#top" />
<content type="html">a)&lt;br/&gt;&#10;12000€/6=2000€&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;2000€+12000€*0,03=2360€&lt;br/&gt;&#10;c)&lt;br/&gt;&#10;2000€+2000€*0,03=2060€</content>
<published>2020-04-29T11:52:45+03:00</published>
</entry>

<entry>
<title>249</title>
<id>https://peda.net/id/e92f06d0884</id>
<updated>2020-04-27T08:21:12+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/249#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=410%3D400%5Ccdot%20x%5E2&quot; alt=&quot;410=400\cdot x^2&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%5E2%3D1%7B%2C%7D025&quot; alt=&quot;x^2=1{,}025&quot;/&gt;&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D1%7B%2C%7D012422...%5Capprox1%7B%2C%7D0124%5C%20%5Cleft(tai%5C%20x%3D-1%7B%2C%7D012422...%5Cright)&quot; alt=&quot;x=1{,}012422...\approx1{,}0124\ \left(tai\ x=-1{,}012422...\right)&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;b)&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D7x%3D1%7B%2C%7D2422...%5C%25&quot; alt=&quot;0{,}7x=1{,}2422...\%&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D1%7B%2C%7D7745...%5C%25%5Capprox1%7B%2C%7D77%5C%25&quot; alt=&quot;x=1{,}7745...\%\approx1{,}77\%&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-27T08:21:12+03:00</published>
</entry>

<entry>
<title>246</title>
<id>https://peda.net/id/4b237c3c884</id>
<updated>2020-04-27T08:16:47+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/246#top" />
<content type="html">Peetu:&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=K%3D1000%E2%82%AC%5Ccdot1%7B%2C%7D009%5E2%2B1000%E2%82%AC%5Ccdot1%7B%2C%7D015%5E2%3D2048%7B%2C%7D306%5Capprox2048%7B%2C%7D31%E2%82%AC&quot; alt=&quot;K=1000€\cdot1{,}009^2+1000€\cdot1{,}015^2=2048{,}306\approx2048{,}31€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;Petra:&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=K%3D2000%E2%82%AC%5Ccdot1%7B%2C%7D013%5Ccdot1%7B%2C%7D01%3D2046%7B%2C%7D26%E2%82%AC&quot; alt=&quot;K=2000€\cdot1{,}013\cdot1{,}01=2046{,}26€&quot;/&gt;&lt;/div&gt;&#10;&lt;br/&gt;&#10;Peetun talletus tuotti enemmän</content>
<published>2020-04-27T08:16:47+03:00</published>
</entry>

<entry>
<title>244</title>
<id>https://peda.net/id/e0eda2b6884</id>
<updated>2020-04-27T08:13:49+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/244#top" />
<content type="html">&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=k%3DK%5Ccdot%20q%5E%7B-n%7D&quot; alt=&quot;k=K\cdot q^{-n}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=k%3D5000%E2%82%AC%5Ccdot1%7B%2C%7D0245%5E%7B-6%7D%3D4324%7B%2C%7D124...%5Capprox4324%7B%2C%7D13%E2%82%AC&quot; alt=&quot;k=5000€\cdot1{,}0245^{-6}=4324{,}124...\approx4324{,}13€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-27T08:13:49+03:00</published>
</entry>

<entry>
<title>240</title>
<id>https://peda.net/id/905cd42a884</id>
<updated>2020-04-27T08:11:34+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/240#top" />
<content type="html">a)&lt;br/&gt;&#10;K=800€&lt;br/&gt;&#10;q=1,0255&lt;br/&gt;&#10;n=2&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=k%3DK%5Ccdot%20q%5E%7B-n%7D&quot; alt=&quot;k=K\cdot q^{-n}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=k%3D800%E2%82%AC%5Ccdot1%7B%2C%7D0255%5E%7B-2%7D%3D760%7B%2C%7D7091...%5Capprox760%7B%2C%7D71%E2%82%AC&quot; alt=&quot;k=800€\cdot1{,}0255^{-2}=760{,}7091...\approx760{,}71€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-27T08:11:34+03:00</published>
</entry>

<entry>
<title>242</title>
<id>https://peda.net/id/0f7d388c860</id>
<updated>2020-04-24T10:49:00+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/242#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=900%E2%82%AC%3D700%E2%82%AC%5Ccdot1%7B%2C%7D038%5En&quot; alt=&quot;900€=700€\cdot1{,}038^n&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=1%7B%2C%7D038%5En%3D1%7B%2C%7D285714...&quot; alt=&quot;1{,}038^n=1{,}285714...&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=n%3D%5Clog_%7B1%7B%2C%7D038%7D1%7B%2C%7D285714...&quot; alt=&quot;n=\log_{1{,}038}1{,}285714...&quot;/&gt;&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=n%3D6%7B%2C%7D73841373...%5Capprox7&quot; alt=&quot;n=6{,}73841373...\approx7&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;Annun säästötavoite täyttyy 7 vuoden kuluttua&lt;/div&gt;&#10;</content>
<published>2020-04-24T10:49:00+03:00</published>
</entry>

<entry>
<title>241</title>
<id>https://peda.net/id/835f011485f</id>
<updated>2020-04-24T10:45:05+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/241#top" />
<content type="html">a)&lt;br/&gt;&#10;k=10€&lt;br/&gt;&#10;K=10,61€&lt;br/&gt;&#10;n=3&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=10%7B%2C%7D61%E2%82%AC%3D10%5Ccdot%20q%5E3&quot; alt=&quot;10{,}61€=10\cdot q^3&quot;/&gt;&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=q%3D%5Csqrt%5B3%5D%7B1%7B%2C%7D061%7D%3D1%7B%2C%7D0199333...%5Capprox1%7B%2C%7D020&quot; alt=&quot;q=\sqrt[3]{1{,}061}=1{,}0199333...\approx1{,}020&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;c)&lt;/div&gt;&#10;&lt;div&gt;nettokorkokanta on 2,0%&lt;/div&gt;&#10;</content>
<published>2020-04-24T10:45:05+03:00</published>
</entry>

<entry>
<title>239</title>
<id>https://peda.net/id/dfb143de85f</id>
<updated>2020-04-24T10:33:21+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/239#top" />
<content type="html">&lt;img src=&quot;https://i.imgur.com/h6HBC4N.png&quot;/&gt;</content>
<published>2020-04-24T10:33:21+03:00</published>
</entry>

<entry>
<title>235</title>
<id>https://peda.net/id/78df322a85f</id>
<updated>2020-04-24T10:23:19+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/235#top" />
<content type="html">&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=K%3D12000%E2%82%AC%5Ccdot1%7B%2C%7D025%5E7%3D14264%7B%2C%7D2290...%5Capprox14264%7B%2C%7D23%E2%82%AC&quot; alt=&quot;K=12000€\cdot1{,}025^7=14264{,}2290...\approx14264{,}23€&quot;/&gt;</content>
<published>2020-04-24T10:23:19+03:00</published>
</entry>

<entry>
<title>233</title>
<id>https://peda.net/id/ba65921285f</id>
<updated>2020-04-24T10:17:59+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/233#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D02%5Ccdot0%7B%2C%7D7%3D0%7B%2C%7D014&quot; alt=&quot;0{,}02\cdot0{,}7=0{,}014&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;b)&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=K%3D550%E2%82%AC%5Ccdot1%7B%2C%7D014%5E4%3D581%7B%2C%7D45285...%5Capprox581%7B%2C%7D45%E2%82%AC&quot; alt=&quot;K=550€\cdot1{,}014^4=581{,}45285...\approx581{,}45€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-24T10:17:59+03:00</published>
</entry>

<entry>
<title>214</title>
<id>https://peda.net/id/4679c5f0847</id>
<updated>2020-04-22T12:40:17+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/214#top" />
<content type="html">&lt;div&gt;korkoa talletukselle tulee 1265€-1250€=15€&lt;/div&gt;&#10;&lt;div&gt;koska &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=r%3Dkit&quot; alt=&quot;r=kit&quot;/&gt;, niin&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=15%E2%82%AC%3D1250%E2%82%AC%5Ccdot%20i%5Ccdot%5Cfrac%7B215%7D%7B360%7D&quot; alt=&quot;15€=1250€\cdot i\cdot\frac{215}{360}&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=15%E2%82%AC%3D746%7B%2C%7D5277...i&quot; alt=&quot;15€=746{,}5277...i&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=i%3D0%7B%2C%7D0200930...%5Capprox2%7B%2C%7D01%5C%25&quot; alt=&quot;i=0{,}0200930...\approx2{,}01\%&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-22T12:40:17+03:00</published>
</entry>

<entry>
<title>212</title>
<id>https://peda.net/id/b2405ef8847</id>
<updated>2020-04-22T12:36:08+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/212#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=100%E2%82%AC%5Ccdot1%7B%2C%7D005%3D100%7B%2C%7D5%E2%82%AC&quot; alt=&quot;100€\cdot1{,}005=100{,}5€&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=100%E2%82%AC%2B100%E2%82%AC%5Ccdot0%7B%2C%7D005%5Ccdot%5Cfrac%7B4%7D%7B12%7D%3D100%7B%2C%7D1666...%5Capprox100%7B%2C%7D17%E2%82%AC&quot; alt=&quot;100€+100€\cdot0{,}005\cdot\frac{4}{12}=100{,}1666...\approx100{,}17€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt; &lt;/div&gt;&#10;</content>
<published>2020-04-22T12:36:08+03:00</published>
</entry>

<entry>
<title>207</title>
<id>https://peda.net/id/7cab7482847</id>
<updated>2020-04-24T10:12:22+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/207#top" />
<content type="html">a)&lt;br/&gt;&#10;maaliskuu 0&lt;br/&gt;&#10;huhtikuu 30&lt;br/&gt;&#10;toukokuu 30&lt;br/&gt;&#10;kesäkuu 15&lt;br/&gt;&#10;76/360&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D7%5Ccdot0%7B%2C%7D012%3D0%7B%2C%7D0084&quot; alt=&quot;0{,}7\cdot0{,}012=0{,}0084&quot;/&gt;&lt;br/&gt;&#10;c) &lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=750%E2%82%AC%5Ccdot0%7B%2C%7D0084%5Ccdot%5Cfrac%7B75%7D%7B360%7D%3D1%7B%2C%7D3125%E2%82%AC&quot; alt=&quot;750€\cdot0{,}0084\cdot\frac{75}{360}=1{,}3125€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-22T12:20:20+03:00</published>
</entry>

<entry>
<title>204</title>
<id>https://peda.net/id/1652d49a847</id>
<updated>2020-04-22T11:13:02+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/204#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D7%5Ccdot0%7B%2C%7D015%3D0%7B%2C%7D0105&quot; alt=&quot;0{,}7\cdot0{,}015=0{,}0105&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;nettokorkokanta on 1,05%&lt;/div&gt;&#10;&lt;div&gt;b)&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=1000%E2%82%AC%5Ccdot0%7B%2C%7D0105%3D10%7B%2C%7D5%E2%82%AC&quot; alt=&quot;1000€\cdot0{,}0105=10{,}5€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;c)&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=1000%E2%82%AC%5Ccdot1%7B%2C%7D0105%3D1010%7B%2C%7D5%E2%82%AC&quot; alt=&quot;1000€\cdot1{,}0105=1010{,}5€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-22T11:13:02+03:00</published>
</entry>

<entry>
<title>201</title>
<id>https://peda.net/id/afb53516847</id>
<updated>2020-04-22T11:10:10+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/201#top" />
<content type="html">a) 500€*0,02=10€&lt;br/&gt;&#10;b) 500€*1,02=510€</content>
<published>2020-04-22T11:10:10+03:00</published>
</entry>

<entry>
<title>166</title>
<id>https://peda.net/id/927e45aa82c</id>
<updated>2020-04-20T09:02:53+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/166#top" />
<content type="html">1.24x=250€&lt;br/&gt;&#10;x=201,6129...~201,61€</content>
<published>2020-04-20T09:02:53+03:00</published>
</entry>

<entry>
<title>163</title>
<id>https://peda.net/id/e45fb4a082c</id>
<updated>2020-04-20T08:50:51+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/163#top" />
<content type="html">a) &lt;br/&gt;&#10;&lt;div&gt;358000€&lt;/div&gt;&#10;&lt;div&gt;alaraja 200000€&lt;/div&gt;&#10;&lt;div&gt;vero alarajan kohdalla &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=22100%E2%82%AC&quot; alt=&quot;22100€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;alarajan ylittävä osuus &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=158000%E2%82%AC&quot; alt=&quot;158000€&quot;/&gt;&lt;!--filtered attribute: style=&quot;display: inline;&quot;--&gt;&lt;/div&gt;&#10;&lt;div&gt;alarajan ylittävästä osuudesta perittävä vero &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=158000%E2%82%AC%5Ccdot0%7B%2C%7D15%3D23700%E2%82%AC&quot; alt=&quot;158000€\cdot0{,}15=23700€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;vero yhteensä &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=45800%E2%82%AC&quot; alt=&quot;45800€&quot;/&gt;&lt;!--filtered attribute: style=&quot;display: inline;&quot;--&gt;&lt;br/&gt;&#10;b) &lt;/div&gt;&#10;358000€&lt;br/&gt;&#10;alaraja 200000€&lt;br/&gt;&#10;vero alarajan kohdalla &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=53450%E2%82%AC&quot; alt=&quot;53450€&quot;/&gt;&lt;br/&gt;&#10;alarajan ylittävä osuus &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=158000%E2%82%AC&quot; alt=&quot;158000€&quot;/&gt;&lt;br/&gt;&#10;alarajan ylittävästä osuudesta perittävä vero &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=158000%E2%82%AC%5Ccdot0%7B%2C%7D31%3D48980%E2%82%AC&quot; alt=&quot;158000€\cdot0{,}31=48980€&quot;/&gt;&lt;br/&gt;&#10;vero yhteensä &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=102430%E2%82%AC&quot; alt=&quot;102430€&quot;/&gt;</content>
<published>2020-04-20T08:50:51+03:00</published>
</entry>

<entry>
<title>162</title>
<id>https://peda.net/id/5bb429ba82c</id>
<updated>2020-04-20T08:47:02+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/162#top" />
<content type="html">a) 100 000€&lt;br/&gt;&#10;&lt;div&gt;alaraja 60000€&lt;/div&gt;&#10;&lt;div&gt;vero alarajan kohdalla 3500€&lt;/div&gt;&#10;&lt;div&gt;alarajan ylittävä osuus 40000€&lt;/div&gt;&#10;&lt;div&gt;alarajan ylittävästä osuudesta perittävä vero &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=40000%5Ccdot0%7B%2C%7D13%3D5200%E2%82%AC&quot; alt=&quot;40000\cdot0{,}13=5200€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;vero yhteensä &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=8700%E2%82%AC&quot; alt=&quot;8700€&quot;/&gt;&lt;!--filtered attribute: style=&quot;display: inline;&quot;--&gt;&lt;br/&gt;&#10;b) 5000€&lt;br/&gt;&#10;veroa ei makseta, verotettava osuus on liian pieni&lt;br/&gt;&#10;&lt;br/&gt;&#10;&lt;/div&gt;&#10;</content>
<published>2020-04-20T08:47:02+03:00</published>
</entry>

<entry>
<title>160</title>
<id>https://peda.net/id/80526cba82c</id>
<updated>2020-04-20T08:40:54+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/160#top" />
<content type="html">a) 14%&lt;br/&gt;&#10;b)&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=50%E2%82%AC%5Ccdot0%7B%2C%7D14%3D7%E2%82%AC&quot; alt=&quot;50€\cdot0{,}14=7€&quot;/&gt;&#10;&lt;div&gt;c)&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=50%E2%82%AC%2B7%E2%82%AC%3D57%E2%82%AC&quot; alt=&quot;50€+7€=57€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-20T08:40:54+03:00</published>
</entry>

<entry>
<title>159</title>
<id>https://peda.net/id/dce043b882c</id>
<updated>2020-04-20T08:36:19+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/159#top" />
<content type="html">a) 13000€-3000€=10000€&lt;br/&gt;&#10;b) &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=10000%E2%82%AC%5Ccdot0%7B%2C%7D3%3D3000%E2%82%AC&quot; alt=&quot;10000€\cdot0{,}3=3000€&quot;/&gt;</content>
<published>2020-04-20T08:36:19+03:00</published>
</entry>

<entry>
<title>138</title>
<id>https://peda.net/id/828a1596807</id>
<updated>2020-04-17T10:17:34+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/138#top" />
<content type="html">lahden kunnallisveroprosentti 2017: 20,25%&lt;br/&gt;&#10;lahden kirkollisveroprosentti 2017: 1,5%&lt;br/&gt;&#10;ansiotulot: 45000€&lt;br/&gt;&#10;veron yhteismäärä:&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=45000%E2%82%AC%5Ccdot0%7B%2C%7D2025%2B45000%E2%82%AC%5Ccdot0%7B%2C%7D015%3D9787%7B%2C%7D5%E2%82%AC&quot; alt=&quot;45000€\cdot0{,}2025+45000€\cdot0{,}015=9787{,}5€&quot;/&gt;</content>
<published>2020-04-17T10:17:34+03:00</published>
</entry>

<entry>
<title>137</title>
<id>https://peda.net/id/ca533674807</id>
<updated>2020-04-17T10:12:25+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/137#top" />
<content type="html">a) 34000€&#10;&lt;div&gt;alaraja 25300€&lt;/div&gt;&#10;&lt;div&gt;vero alarajan kohdalla 533€&lt;/div&gt;&#10;&lt;div&gt;vero alarajan ylittävästä osasta 17,5%&lt;/div&gt;&#10;&lt;div&gt;alarajan ylittävä osa &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=34000-25300%3D8700%E2%82%AC&quot; alt=&quot;34000-25300=8700€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;vero &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=533%E2%82%AC%2B8700%E2%82%AC%5Ccdot0%7B%2C%7D175%3D2055%7B%2C%7D5%E2%82%AC&quot; alt=&quot;533€+8700€\cdot0{,}175=2055{,}5€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;b) 198000€&lt;/div&gt;&#10;&lt;div&gt;alaraja 73100€&lt;/div&gt;&#10;&lt;div&gt;veroalarajan kohdalla 10174€&lt;/div&gt;&#10;&lt;div&gt;vero alarajan ylittävästä osasta 31,5%&lt;/div&gt;&#10;&lt;div&gt;alarajan ylittävä osa &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=198000-73100%3D124900%E2%82%AC&quot; alt=&quot;198000-73100=124900€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;vero&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=10174%E2%82%AC%2B124900%E2%82%AC%5Ccdot0%7B%2C%7D315%3D49517%7B%2C%7D50%E2%82%AC&quot; alt=&quot;10174€+124900€\cdot0{,}315=49517{,}50€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;c) 11000€&lt;/div&gt;&#10;&lt;div&gt;tulot olivat liian alhaiset verotettavaksi&lt;/div&gt;&#10;&lt;div&gt;tuloveroa maksetaan 0€&lt;/div&gt;&#10;</content>
<published>2020-04-17T10:12:25+03:00</published>
</entry>

<entry>
<title>136</title>
<id>https://peda.net/id/a0e45ac6807</id>
<updated>2020-04-17T10:04:06+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/136#top" />
<content type="html">a)&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=1900%5Ccdot0%7B%2C%7D16%3D304%E2%82%AC&quot; alt=&quot;1900\cdot0{,}16=304€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;b)&lt;/div&gt;&#10;&lt;div&gt;tulorajan ylittävä osuus:&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2300-2058%7B%2C%7D33%3D241%7B%2C%7D67%E2%82%AC&quot; alt=&quot;2300-2058{,}33=241{,}67€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;ennakonpidätys:&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=2058%7B%2C%7D33%5Ccdot0%7B%2C%7D16%2B241%7B%2C%7D67%5Ccdot0%7B%2C%7D415%3D429%7B%2C%7D62585%5Capprox429%7B%2C%7D63%E2%82%AC&quot; alt=&quot;2058{,}33\cdot0{,}16+241{,}67\cdot0{,}415=429{,}62585\approx429{,}63€&quot;/&gt;&lt;/div&gt;&#10;</content>
<published>2020-04-17T10:04:06+03:00</published>
</entry>

<entry>
<title>135</title>
<id>https://peda.net/id/a7e4cdac807</id>
<updated>2020-04-17T09:57:08+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/135#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=35646%E2%82%AC-30000%E2%82%AC%3D5646%E2%82%AC&quot; alt=&quot;35646€-30000€=5646€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;b)&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=30000%5Ccdot0%7B%2C%7D21%3D6300%E2%82%AC&quot; alt=&quot;30000\cdot0{,}21=6300€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;c)&lt;/div&gt;&#10;&lt;div&gt;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=5646%5Ccdot0%7B%2C%7D445%3D2512%7B%2C%7D47%E2%82%AC&quot; alt=&quot;5646\cdot0{,}445=2512{,}47€&quot;/&gt;&lt;/div&gt;&#10;&lt;div&gt;d)&lt;/div&gt;&#10;&lt;div&gt; &lt;/div&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=6300%E2%82%AC%2B2512%7B%2C%7D47%E2%82%AC%3D8812%7B%2C%7D47%E2%82%AC&quot; alt=&quot;6300€+2512{,}47€=8812{,}47€&quot;/&gt;</content>
<published>2020-04-17T09:57:08+03:00</published>
</entry>

<entry>
<title>129</title>
<id>https://peda.net/id/0150c3a6807</id>
<updated>2020-04-17T09:52:29+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/129#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=3000%5Ccdot0%7B%2C%7D31%3D930%E2%82%AC&quot; alt=&quot;3000\cdot0{,}31=930€&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=3000%E2%82%AC-930%E2%82%AC%3D2070%E2%82%AC&quot; alt=&quot;3000€-930€=2070€&quot;/&gt;</content>
<published>2020-04-17T09:52:29+03:00</published>
</entry>

<entry>
<title>113</title>
<id>https://peda.net/id/38132f147ef</id>
<updated>2020-04-15T11:58:05+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/113#top" />
<content type="html">&lt;img src=&quot;https://i.imgur.com/U36Wbqt.png&quot;/&gt;</content>
<published>2020-04-15T11:58:05+03:00</published>
</entry>

<entry>
<title>112</title>
<id>https://peda.net/id/2765fefe7ef</id>
<updated>2020-04-15T11:50:27+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/112#top" />
<content type="html">a)&lt;br/&gt;&#10;18-11=7 %-yks&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;sokeria aluksi&lt;br/&gt;&#10;36g&lt;br/&gt;&#10;sokeria lopuksi&lt;br/&gt;&#10;22g&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B22g%7D%7B36g%7D%3D0%7B%2C%7D6111...&quot; alt=&quot;\frac{22g}{36g}=0{,}6111...&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=100%5C%25-61%7B%2C%7D1...%5C%25%3D38%7B%2C%7D88...%5C%25&quot; alt=&quot;100\%-61{,}1...\%=38{,}88...\%&quot;/&gt;</content>
<published>2020-04-15T11:50:27+03:00</published>
</entry>

<entry>
<title>110</title>
<id>https://peda.net/id/3401f70e7ef</id>
<updated>2020-04-15T11:43:39+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/110#top" />
<content type="html">a)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7B%2C%7D49%E2%82%AC%7D%7B2%7B%2C%7D20%E2%82%AC%7D%3D0%7B%2C%7D67727...&quot; alt=&quot;\frac{1{,}49€}{2{,}20€}=0{,}67727...&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=100%5C%25-67%7B%2C%7D727...%5C%25%3D32%7B%2C%7D27...%5C%25&quot; alt=&quot;100\%-67{,}727...\%=32{,}27...\%&quot;/&gt;&lt;br/&gt;&#10;b)&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=1%7B%2C%7D49%5Ccdot%20x%3D2%7B%2C%7D20&quot; alt=&quot;1{,}49\cdot x=2{,}20&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B2%7B%2C%7D20%7D%7B1%7B%2C%7D49%7D%3D1%7B%2C%7D4765...%5Capprox47%7B%2C%7D7%5C%25&quot; alt=&quot;x=\frac{2{,}20}{1{,}49}=1{,}4765...\approx47{,}7\%&quot;/&gt;</content>
<published>2020-04-15T11:43:39+03:00</published>
</entry>

<entry>
<title>109</title>
<id>https://peda.net/id/2489c74e7ef</id>
<updated>2020-04-15T11:36:03+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/109#top" />
<content type="html">a) &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B5%7B%2C%7D4%5C%20milj.%7D%7B9%7B%2C%7D6%5C%20milj.%7D%3D0%7B%2C%7D5625%3D56%7B%2C%7D25%5C%25&quot; alt=&quot;\frac{5{,}4\ milj.}{9{,}6\ milj.}=0{,}5625=56{,}25\%&quot;/&gt;&lt;br/&gt;&#10;b) &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=100%5C%25-56%7B%2C%7D25%5C%25%3D43%7B%2C%7D75%5C%25&quot; alt=&quot;100\%-56{,}25\%=43{,}75\%&quot;/&gt;&lt;br/&gt;&#10;c) &lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B9%7B%2C%7D6milj.%7D%7B5%7B%2C%7D4milj.%7D%3D177%7B%2C%7D777...%5C%25&quot; alt=&quot;\frac{9{,}6milj.}{5{,}4milj.}=177{,}777...\%&quot;/&gt;&lt;br/&gt;&#10;&lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=177.777...%5C%25-100%5C%25%3D77%7B%2C%7D777...%5C%25&quot; alt=&quot;177.777...\%-100\%=77{,}777...\%&quot;/&gt;</content>
<published>2020-04-15T11:36:03+03:00</published>
</entry>

<entry>
<title>104</title>
<id>https://peda.net/id/60cfe54a7ef</id>
<updated>2020-04-15T11:30:35+03:00</updated>
<link href="https://peda.net/p/oskari.lahtinen/mt/et%C3%A4teht%C3%A4v%C3%A4t/104#top" />
<content type="html">a) &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=56%7B%2C%7D4%E2%82%AC%5Ccdot0%7B%2C%7D27%3D15%7B%2C%7D228%5Capprox15%7B%2C%7D23%E2%82%AC&quot; alt=&quot;56{,}4€\cdot0{,}27=15{,}228\approx15{,}23€&quot;/&gt;&lt;br/&gt;&#10;b) &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=1904%7B%2C%7D25%E2%82%AC%5Ccdot0%7B%2C%7D0084%3D15%7B%2C%7D9957%E2%82%AC%5Capprox16%7B%2C%7D00%E2%82%AC&quot; alt=&quot;1904{,}25€\cdot0{,}0084=15{,}9957€\approx16{,}00€&quot;/&gt;&lt;br/&gt;&#10;c) &lt;img src=&quot;https://math-demo.abitti.fi/math.svg?latex=8%7B%2C%7D29%E2%82%AC%5Ccdot1%7B%2C%7D4%3D11%7B%2C%7D606%E2%82%AC%5Capprox11%7B%2C%7D61%E2%82%AC&quot; alt=&quot;8{,}29€\cdot1{,}4=11{,}606€\approx11{,}61€&quot;/&gt;</content>
<published>2020-04-15T11:30:35+03:00</published>
</entry>


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