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<p> </p> <div align="center"> <table style="background-color: #ffffcc; background-image: url('http://www.insmilaifontanals.cat/moodle/none'); color: #660066; border: 4px solid #003300; float: none; text-align: left; vertical-align: top; width: 392px; height: 252px;" border="4" frame="void" rules="none"> <tbody> <tr align="center"> <td style="background-color: #003300; background-image: url('http://www.insmilaifontanals.cat/moodle/none'); color: #ff9900; text-align: center; vertical-align: middle; border-style: none; width: 400px;" valign="top"><span style="font-size: large; color: #ffff99;">Anualitat d<span style="font-size: large;">e capit<span style="font-size: large;">alització</span></span></span></td> </tr> <tr> <td valign="top" width="NaNpx"><span style="color: #003300;"><strong><span style="font-size: small;">Si ingressem un capital A durant t anys a un interès anual r, es genera un capital C: </span></strong></span><br /><span style="color: #003300;"><strong><span style="font-size: small;">C = A(1+r) + A(1+r)<sup>2</sup> + ... + A(1+r)<sup>t</sup></span></strong></span><br /><span style="color: #003300;"><strong><span style="font-size: small;"> = A(1+r) [1 + (1+r) + ... (1+r)<sup>t-1</sup>]</span></strong></span><br /><span style="color: #003300;"><strong><span style="font-size: small;">i aplicant la fórmula de la suma dels termes d'una progressió geomètrica:</span></strong></span><br /> <div align="center"><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»C«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»=«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»A«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»(«/mo»«mn mathvariant=¨bold¨ mathcolor=¨#003300¨»1«/mn»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»+«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#003300¨»r«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#003300¨»)«/mo»«mfrac mathcolor=¨#003300¨»«mrow»«mo mathvariant=¨bold¨»(«/mo»«mn mathvariant=¨bold¨»1«/mn»«mo mathvariant=¨bold¨»+«/mo»«mi mathvariant=¨bold¨»r«/mi»«msup»«mo mathvariant=¨bold¨»)«/mo»«mi mathvariant=¨bold¨»t«/mi»«/msup»«mo mathvariant=¨bold¨»-«/mo»«mn mathvariant=¨bold¨»1«/mn»«/mrow»«mi mathvariant=¨bold¨»r«/mi»«/mfrac»«/math» </span></div> <div align="center"><span style="color: #003300;"><strong><span class="nolink">Si el plaç és inferior a l'any, cal transformar r en r/f i t en f·t on f és la freqüència de pagament d'interessos</span></strong></span></div> <div align="center"> </div> <div align="center"> </div> <div align="center"> </div> </td> </tr> </tbody> </table> </div>
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