<description/> <author>Charles</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>CK</revisedBy> </userData> <identityInfo> <revision>2</revision> <documentID>4A99A6F5-D0E5-4E5B-8992-95FB69CA6913</documentID> <versionID>E202B4F0-7DCB-4038-8FA9-A09F8B94999A</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Courier New" font-charset="0" font-size="12" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline" color="#00f"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" 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</calculationBehavior> <units> <currentUnitSystem name="si" customized="true"/> <customUnitSystem base-unit-system="si"> <baseUnits> <unit unit-name="mole" quantity-name="amount_of_substance"/> <unit unit-name="ampere" quantity-name="current"/> <unit unit-name="meter" quantity-name="length"/> <unit unit-name="candela" quantity-name="luminous_intensity"/> <unit unit-name="kilogram" quantity-name="mass"/> <unit unit-name="kelvin" quantity-name="thermodynamic_temperature"/> <unit unit-name="second" quantity-name="time"/> </baseUnits> <derivedUnits> <unit unit-name="lux" quantity-name="illuminosity"/> <unit unit-name="farad" quantity-name="capacitance"/> <unit unit-name="coulomb" quantity-name="charge"/> <unit unit-name="volt" quantity-name="electric_potential"/> <unit unit-name="joule" quantity-name="energy"/> <unit unit-name="newton" quantity-name="force"/> <unit unit-name="henry" quantity-name="inductance"/> <unit unit-name="weber" quantity-name="magnetic_flux"/> <unit unit-name="tesla" quantity-name="magnetic_flux_density"/> <unit unit-name="watt" quantity-name="power"/> <unit unit-name="pascal" quantity-name="pressure"/> <unit unit-name="ohm" quantity-name="resistance"/> <unit unit-name="liter" quantity-name="volume"/> </derivedUnits> </customUnitSystem> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="945" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="804" left="36" top="8.25" width="416.25" height="13.5" align-x="53.25" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Clear Sky Beam Radiation.xmcd<sp count="3"/>Charles Kim 2013 </text> </region> <region region-id="902" left="24" top="26.25" width="495" height="40.5" align-x="27.75" align-y="36" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Q.<sp count="2"/>Find the direct beam solar radiation normal to the sun's days at solar noon on a clear day in Atlanta (Latitude 33.7 degrees N) on May 21. </text> </region> <region region-id="921" left="18" top="80.25" width="67.5" height="13.5" align-x="47.25" align-y="90" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> SOLUTION </text> </region> <region region-id="923" left="48" top="96.75" width="39.75" height="15.75" align-x="63.75" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">n</ml:id> <ml:real>141</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="925" left="108" top="98.25" width="75" height="13.5" align-x="114" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> for May 21 </text> </region> <region region-id="926" left="252" top="96.75" width="42" height="15.75" align-x="267.75" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:real>33.7</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="945" left="348" top="98.25" width="217.5" height="13.5" align-x="364.5" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Try to change L to Seoul 37.5 </text> </region> <region region-id="911" left="42" top="138" width="240.75" height="177.75" align-x="42" align-y="138" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="4" display-width="239.25" display-height="176.25"/> </picture> <rendering item-idref="5"/> </region> <region region-id="919" left="384" top="139.5" width="190.5" height="27.75" align-x="414" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">δ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:real>23.45</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>360</ml:real> <ml:real>365</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>81</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="920" left="390" top="180.75" width="75.75" height="15.75" align-x="420" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">δ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>20.138014821567577</ml:real> </result> </ml:eval> </math> <rendering item-idref="7"/> </region> <region region-id="927" left="390" top="234.75" width="144.75" height="15.75" align-x="406.5" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">β</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:real>90</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">δ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>76.438014821567577</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="937" left="552" top="259.5" width="138.75" height="30.75" align-x="570.75" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">β</ml:id> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1.0286829734809511</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="936" left="390" top="272.25" width="142.5" height="13.5" align-x="396.75" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Air mass ratio (m): </text> </region> <region region-id="929" left="36" top="326.25" width="262.5" height="13.5" align-x="57.75" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Apparent Extraterrestrial flux (A): </text> </region> <region region-id="930" left="324" top="319.5" width="278.25" height="27.75" align-x="342" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">A</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:real>1160</ml:real> <ml:apply> <ml:mult/> <ml:real>75</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>360</ml:real> <ml:real>365</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>275</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1104.4083491863553</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="934" left="330" top="349.5" width="264.75" height="27.75" align-x="346.5" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">k</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:real>0.174</ml:real> <ml:apply> <ml:mult/> <ml:real>0.035</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>360</ml:real> <ml:real>365</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>100</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.19670203463622435</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="933" left="36" top="362.25" width="135" height="13.5" align-x="52.5" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Optical Depth (k): </text> </region> <region region-id="939" left="36" top="404.25" width="382.5" height="13.5" align-x="48" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Clear Sky Beam Radiation at the Earth Surface (IB): </text> </region> <region region-id="940" left="438" top="397.5" width="141" height="21" align-x="458.25" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">IB</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">A</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>902.09605549985861</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="943" left="600" top="404.25" width="52.5" height="13.5" align-x="605.25" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> W / m^2 </text> </region> <region region-id="851" left="60" top="800.25" width="186" height="27" align-x="74.25" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Overall Annual Cost: A + Eq+O&M </text> </region> <region region-id="850" left="78" top="816.75" width="70.5" height="15.75" align-x="106.5" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">OM</ml:id> <ml:real>1800000</ml:real> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="848" left="78" top="840.75" width="118.5" height="15.75" align-x="117" align-y="852" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define 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<text use-page-width="false" push-down="false" lock-width="true"> SOLUTION </text> </region> <region region-id="923" left="48" top="96.75" width="39.75" height="15.75" align-x="63.75" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">n</ml:id> <ml:real>141</ml:real> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="925" left="108" top="98.25" width="75" height="13.5" align-x="114" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> for May 21 </text> </region> <region region-id="926" left="252" top="96.75" width="42" height="15.75" align-x="267.75" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:real>33.7</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="945" left="348" top="98.25" width="217.5" height="13.5" align-x="364.5" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Try to change L to Seoul 37.5 </text> </region> <region region-id="911" left="42" top="138" width="240.75" height="177.75" align-x="42" align-y="138" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="4" display-width="239.25" display-height="176.25"/> </picture> <rendering item-idref="5"/> </region> <region region-id="919" left="384" top="139.5" width="190.5" height="27.75" align-x="414" align-y="156" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">δ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult/> <ml:real>23.45</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>360</ml:real> <ml:real>365</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">x</ml:id> <ml:real>81</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="920" left="390" top="180.75" width="75.75" height="15.75" align-x="420" align-y="192" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:id xml:space="preserve">δ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>20.138014821567577</ml:real> </result> </ml:eval> </math> <rendering item-idref="7"/> </region> <region region-id="927" left="390" top="234.75" width="144.75" height="15.75" align-x="406.5" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">β</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:real>90</ml:real> <ml:id xml:space="preserve">L</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">δ</ml:id> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>76.438014821567577</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="937" left="552" top="259.5" width="138.75" height="30.75" align-x="570.75" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">m</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">β</ml:id> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1.0286829734809511</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="936" left="390" top="272.25" width="142.5" height="13.5" align-x="396.75" align-y="282" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Air mass ratio (m): </text> </region> <region region-id="929" left="36" top="326.25" width="262.5" height="13.5" align-x="57.75" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Apparent Extraterrestrial flux (A): </text> </region> <region region-id="930" left="324" top="319.5" width="278.25" height="27.75" align-x="342" align-y="336" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">A</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:real>1160</ml:real> <ml:apply> <ml:mult/> <ml:real>75</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>360</ml:real> <ml:real>365</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>275</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1104.4083491863553</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="934" left="330" top="349.5" width="264.75" height="27.75" align-x="346.5" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">k</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:plus/> <ml:real>0.174</ml:real> <ml:apply> <ml:mult/> <ml:real>0.035</ml:real> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>360</ml:real> <ml:real>365</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>100</ml:real> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">deg</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.19670203463622435</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="933" left="36" top="362.25" width="135" height="13.5" align-x="52.5" align-y="372" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Optical Depth (k): </text> </region> <region region-id="939" left="36" top="404.25" width="382.5" height="13.5" align-x="48" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Clear Sky Beam Radiation at the Earth Surface (IB): </text> </region> <region region-id="940" left="438" top="397.5" width="141" height="21" align-x="458.25" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">IB</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">A</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">k</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:apply> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>902.09605549985861</ml:real> </result> </ml:eval> </ml:define> </math> <rendering item-idref="12"/> </region> <region region-id="943" left="600" top="404.25" width="52.5" height="13.5" align-x="605.25" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> W / m^2 </text> </region> <region region-id="851" left="60" top="800.25" width="186" height="27" align-x="74.25" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Overall Annual Cost: A + Eq+O&M </text> </region> <region region-id="850" left="78" top="816.75" width="70.5" height="15.75" align-x="106.5" align-y="828" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">OM</ml:id> <ml:real>1800000</ml:real> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="848" left="78" top="840.75" width="118.5" height="15.75" align-x="117" align-y="852" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">CostY</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">A</ml:id> <ml:id xml:space="preserve">Eq</ml:id> </ml:apply> <ml:id xml:space="preserve">OM</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="852" left="252" top="846.75" width="59.25" height="15.75" align-x="289.5" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">CostY</ml:id> </ml:eval> </math> <rendering item-idref="15"/> </region> <region region-id="853" left="60" top="874.5" width="93" height="33.75" align-x="93" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">COE</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">CostY</ml:id> <ml:id xml:space="preserve">EnergY40</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="854" left="174" top="888.75" width="53.25" height="15.75" align-x="205.5" align-y="900" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">COE</ml:id> </ml:eval> </math> <rendering item-idref="17"/> </region> <region region-id="857" left="246" top="890.25" width="60" 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