Interactive Hong Kong Salaries Tax Calculator Based on Piecewise Functions
2016-02-26 12:28
This GeoGebra applet provides an interactive model for calculating Hong Kong Salaries Tax. By inputting the chargeable income, it utilizes conditional statements to construct piecewise linear functions, automatically calculating the tax for each bracket and summing up the total tax liability. The interface features multiple input boxes and text tables to visually display the calculation process an
In collections
S3 Percentages
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<element type="text" label="text3">
<show object="true" label="true" ev="8"/>
<condition showObject="m3 > 0"/>
<objColor r="0" g="0" b="0" alpha="0"/>
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<labelMode val="0"/>
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<isLaTeX val="true"/>
<font serif="true" sizeM="1.4" size="8" style="0"/>
<startPoint x="10.066666666666675" y="5.426378760940323" z="1"/>
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<expression label="text4" exp=""\blue{" + (LaTeX[m4]) + "}×\red{" + (LaTeX[r4']) + "%} = \$\;" + (LaTeX[tax4]) + """ />
<element type="text" label="text4">
<show object="true" label="true" ev="8"/>
<condition showObject="m4 > 0"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
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<isLaTeX val="true"/>
<font serif="true" sizeM="1.4" size="8" style="0"/>
<startPoint x="10.06875000000001" y="3.93177269877261" z="1"/>
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<expression label="textTax" exp=""" + (LaTeX[If[m2 > 0, "=" + (Text[tax1]) + "+" + (Text[tax2]), ""]]) + "" + (LaTeX[If[m3 > 0, "+" + (Text[tax3]), ""]]) + "" + (LaTeX[If[m4 > 0, "+" + (Text[tax4]), ""]]) + "\\
=\underline\underline{\$\; " + (LaTeX[tax]) + "}"" />
<element type="text" label="textTax">
<show object="true" label="true" ev="8"/>
<condition showObject="showTax"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1.6" size="12" style="0"/>
<startPoint x="5.077083333333336" y="0.9162479493588185" z="1"/>
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<element type="button" label="button1">
<show object="true" label="true"/>
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<bgColor r="191" g="255" b="0" alpha="255"/>
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<labelOffset x="261" y="73"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[in_0,in_0+10000]"/>
<caption val="+10000"/>
<font serif="false" sizeM="2" size="20" style="0"/>
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<element type="button" label="button2">
<show object="true" label="true"/>
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<auxiliary val="true"/>
<ggbscript val="SetValue[in_0,If[in_0<10000,0,in_0-10000]]"/>
<caption val="-10000"/>
<font serif="false" sizeM="2" size="20" style="0"/>
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<element type="button" label="button0">
<show object="true" label="true"/>
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<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="3"/>
<labelOffset x="872" y="15"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[lang,If[lang==1,2,1]]
RunClickScript[buttonLang]
"/>
<caption val="中文"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
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<element type="button" label="buttonLang">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
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<labelOffset x="937" y="15"/>
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<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetCaption[button0,If[lang==1,"ENG","中文"]]
SetCaption[InputBox1,If[lang==1,"年入息 $","Income $"]]
SetCaption[InputBox2,If[lang==1,"減：免稅額 $","Less: Allowances $"]]
SetCaption[InputBox3,If[lang==1,"減：扣除 $","Less: Deductions $"]]
SetCaption[edit,If[lang==1,"修改稅率","Edit tax rates"]]
SetCaption[showTax,If[lang==1,"應繳稅款","Tax payable"]]
SetCaption[InputBoxL1,If[lang==1,"最初的：","On the First: $"]]
SetCaption[InputBoxL2,If[lang==1,"其次的：","On the Next: $"]]
SetCaption[InputBoxL3,If[lang==1,"其次的：","On the Next: $"]]"/>
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<expression label="textIn" exp=""\text{" + (LaTeX[If[lang ≟ 1, "應課稅入息實額", "Net Chargeable Income"]]) + "} = \$\;" + (LaTeX[in]) + """ />
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<show object="true" label="true" ev="8"/>
<objColor r="0" g="0" b="255" alpha="0"/>
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<font serif="true" sizeM="1.6" size="12" style="0"/>
<startPoint x="-0.42916666666666714" y="9.93130888883162" z="1"/>
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<element type="button" label="button3">
<show object="true" label="true"/>
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<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[in_0,If[in_0<1000,0,in_0-1000]]"/>
<caption val="-1000"/>
<font serif="false" sizeM="2" size="20" style="0"/>
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<element type="button" label="button4">
<show object="true" label="true"/>
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<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="3"/>
<labelOffset x="261" y="130"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[in_0,in_0+1000]"/>
<caption val="+1000"/>
<font serif="false" sizeM="2" size="20" style="0"/>
</element>
<expression label="textResidue" exp=""" + (LaTeX[If[lang ≟ 1, " 餘額：", "Remainder:"]]) + """ />
<element type="text" label="textResidue">
<show object="true" label="true" ev="8"/>
<condition showObject="edit"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<startPoint x="2.560416666666672" y="3.1819466275004826" z="1"/>
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<expression label="text5" exp=""e.g. Basic Allowance, Married Person’s Allowance, Child Allowance,
Dependent Brother/ Sister/ Parent/ Grandparent Allowance,
Single Parent Allowance, Disabled Dependant Allowance""/>
<element type="text" label="text5">
<show object="true" label="false" ev="40"/>
<condition showObject="lang ≠ 1"/>
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<font serif="false" sizeM="0.5" size="-10" style="0"/>
<startPoint x="8.558333333333339" y="13.46095063859757" z="1"/>
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<expression label="text6" exp=""e.g. Expenses of Self-Education, Elderly Residential Care Expenses, Home Loan Interest,
Mandatory Contributions to Recognized Retirement Schemes, Approved Charitable Donations""/>
<element type="text" label="text6">
<show object="true" label="false" ev="40"/>
<condition showObject="lang ≠ 1"/>
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</construction>
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