Deposit Simulation Program
2020-08-22 15:46
This GeoGebra applet presents a deposit simulator designed to demonstrate and calculate mathematical models related to savings. By adjusting parameters, users can visually observe the impact of factors such as deposit amount, interest rate, or time on the final returns. The program integrates mathematical tools like polynomial functions and intersection calculations, helping learners understand co
Loading the GeoGebra board and drawing, please wait…
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.599.0" app="classic" platform="w" id="6FE45358-CC6A-4F12-BE29-5EF5AC248CC3" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/apps/xsd/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="800" height="550" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.475" orientation="1" />
</panes>
<views>
<view id="512" toolbar="0 | 1 501 5 19 , 67 | 2 15 45 18 , 7 37 | 514 3 9 , 13 44 , 47 | 16 51 | 551 550 11 , 20 22 21 23 , 55 56 57 , 12 | 69 | 510 511 , 512 513 | 533 531 , 534 532 , 522 523 , 537 536 , 535 , 538 | 521 520 | 36 , 38 49 560 | 571 30 29 570 31 33 | 17 | 540 40 41 42 , 27 28 35 , 6 , 502" visible="false" inframe="false" stylebar="false" location="1,1,1" size="500" window="100,100,600,400" />
<view id="4" toolbar="0 || 2020 , 2021 , 2022 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,1" size="300" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 | 1009 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="1" visible="true" inframe="false" stylebar="false" location="1" size="798" window="100,100,600,400" />
<view id="2" visible="false" inframe="false" stylebar="false" location="3" size="380" window="100,100,600,400" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="300" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="300" window="50,50,500,500" />
<view id="64" toolbar="0" visible="false" inframe="false" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="128" visible="false" inframe="false" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="4097" visible="false" inframe="false" stylebar="true" location="1" size="575" window="100,100,700,550" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="false" stylebar="true" location="1" size="900" window="50,50,500,500" />
</views>
<toolbar show="false" items="0 73 62 | 1 501 67 , 5 19 , 72 75 76 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24 20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49 50 , 71 14 68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="false" cmd="true" top="algebra" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="0"/>
<font size="16"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="797" height="547"/>
<coordSystem xZero="211.34710743801645" yZero="187.03305785123962" scale="41.322314049586744" yscale="41.32231404958673"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="3" rightAngleStyle="1" checkboxSize="26" gridType="3"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="3" spreadsheet="0"/>
<coordStyle val="0"/>
</kernel>
<tableview min="-2" max="2" step="1"/>
<scripting blocked="false" disabled="false"/>
<construction title="數學素養試題" author="" date="">
<element type="numeric" label="h">
<value val="300"/>
<show object="true" label="false"/>
<condition showObject="j"/>
<objColor r="0" g="0" b="255" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="10" max="500" absoluteScreenLocation="true" width="200" x="462" y="254" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="10" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="g">
<value val="3000"/>
<show object="true" label="false"/>
<condition showObject="j"/>
<objColor r="255" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="1000" max="10000" absoluteScreenLocation="true" width="200" x="461" y="453" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="100" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="f">
<value val="0.09"/>
<show object="true" label="false"/>
<condition showObject="j"/>
<objColor r="127" g="0" b="255" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="0.2" absoluteScreenLocation="true" width="200" x="455" y="350" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="0.01" speed="1" type="0" playing="false"/>
</element>
<expression label="eq2" exp="((x * h) * (1 + ((f * (x + 1))) / 24)) = g" type="conic" />
<element type="conic" label="eq2">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<eigenvectors x0="0" y0="1" z0="1.0" x1="-1" y1="0" z1="1.0"/>
<matrix A0="1.125" A1="0" A2="-3000" A3="0" A4="150.5625" A5="0"/>
<eqnStyle style="user"/>
</element>
<command name="Intersect">
<input a0="eq2" a1="y = 0"/>
<output a0="B" a1="C"/>
</command>
<element type="point" label="B">
<show object="false" label="true"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-277.2837699927516" y="0" z="1"/>
<pointSize val="4"/>
<pointStyle val="0"/>
</element>
<element type="point" label="C">
<show object="false" label="true"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="9.617103326084953" y="0" z="1"/>
<pointSize val="4"/>
<pointStyle val="0"/>
</element>
<element type="numeric" label="a">
<value val="16"/>
<show object="true" label="false"/>
<condition showObject="e"/>
<objColor r="255" g="0" b="0" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="60" absoluteScreenLocation="true" width="200" x="54" y="444" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<element type="numeric" label="b">
<value val="130"/>
<show object="true" label="false"/>
<condition showObject="e"/>
<objColor r="0" g="0" b="255" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="10" max="500" absoluteScreenLocation="true" width="200" x="53" y="260" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="10" speed="0.35" type="0" playing="false"/>
</element>
<element type="numeric" label="c">
<value val="0.04"/>
<show object="true" label="false"/>
<condition showObject="e"/>
<objColor r="127" g="0" b="255" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="0" max="0.2" absoluteScreenLocation="true" width="200" x="48" y="348" fixed="true" horizontal="true" showAlgebra="true"/>
<lineStyle thickness="10" type="0" typeHidden="1"/>
<animation step="0.01" speed="1" type="0" playing="false"/>
</element>
<expression label="text1" exp=""存款期長為" + a + " 月"" />
<element type="text" label="text1">
<show object="true" label="true" ev="40"/>
<condition showObject="e"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="51" y="400"/>
</element>
<expression label="text2" exp=""每月存入金額為" + b + " 元"" />
<element type="text" label="text2">
<show object="true" label="true" ev="40"/>
<condition showObject="e"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="46" y="218"/>
</element>
<expression label="text3" exp=""年利率為" + ((c * 100)) + " %"" />
<element type="text" label="text3">
<show object="true" label="true" ev="40"/>
<condition showObject="e"/>
<objColor r="127" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="49" y="316"/>
</element>
<expression label="d" exp="(a * b) + (((b * c / 12) * a) * (a + 1) / 2)" />
<element type="numeric" label="d">
<value val="2138.9333333333334"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<expression label="text5" exp=""利用滑桿調整每月存入金額、年利率、存款期長的值""/>
<element type="text" label="text5">
<show object="true" label="false" ev="40"/>
<condition showObject="e"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="35" y="152"/>
</element>
<element type="boolean" label="e">
<value val="true"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="32" y="76"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<caption val="求本利和"/>
</element>
<expression label="text6" exp=""利用滑桿調每月存款、年利率、本利和的值""/>
<element type="text" label="text6">
<show object="true" label="true" ev="40"/>
<condition showObject="j"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="450" y="153"/>
</element>
<expression label="text7" exp=""年利率為" + ((f * 100)) + " %"" />
<element type="text" label="text7">
<show object="true" label="true" ev="40"/>
<condition showObject="j"/>
<objColor r="127" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="456" y="318"/>
</element>
<expression label="i" exp="h / (g + ((f * g) * (g + 1) / 24))" />
<element type="numeric" label="i">
<value val="0.008160767112108539"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<element type="boolean" label="j">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="442" y="78"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="求存款期長"/>
</element>
<expression label="text11" exp=""請勾選「求本利和」或「求存款期長」，勾選一個即可""/>
<element type="text" label="text11">
<show object="true" label="false" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="34" y="48"/>
</element>
<expression label="text4" exp=""本利和為" + d + "元"" />
<element type="text" label="text4">
<show object="true" label="true" ev="8"/>
<condition showObject="e"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1.4" size="7" style="0"/>
<absoluteScreenLocation x="52" y="517"/>
</element>
<expression label="text9" exp=""每月存入金額為" + h + " 元"" />
<element type="text" label="text9">
<show object="true" label="true" ev="8"/>
<condition showObject="j"/>
<objColor r="0" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="449" y="216"/>
</element>
<expression label="text8" exp=""本利和為" + g + "元"" />
<element type="text" label="text8">
<show object="true" label="true" ev="8"/>
<condition showObject="j"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<absoluteScreenLocation x="458" y="413"/>
</element>
<command name="Intersect">
<input a0="eq2" a1="xAxis" a2="1"/>
<output a0="A"/>
</command>
<element type="point" label="A">
<show object="false" label="true"/>
<objColor r="68" g="68" b="68" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="-277.2837699927516" y="0" z="1"/>
<pointSize val="4"/>
<pointStyle val="0"/>
</element>
<expression label="k" exp="x(C)" />
<element type="numeric" label="k">
<value val="9.617103326084953"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<expression label="text10" exp=""至少要存款" + k + "個月"" />
<element type="text" label="text10">
<show object="true" label="true" ev="8"/>
<condition showObject="j"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1.4" size="7" style="0"/>
<absoluteScreenLocation x="457" y="514"/>
</element>
</construction>
</geogebra>