Leysa 165,000=d(1-(1+.002/12))^-(30)(12)/(frac{0.08{12})}

$$165,000 = \frac { d ( 1 - ( 1 + \frac { .002 } { 12 } ) ) ^ { - ( 30 ) ( 12 ) } } { ( \frac { 0.08 } { 12 } ) }$$

Leystu fyrir d

$$d=\frac{11}{136285652597652400633072146943255896341029201131980190548843315311006893267249227122863590367756090838736813150399831954741580003320794103238355908174878733366334155884618443998783841969103173072216240445102125485099344220416740519344692695598710475488518829182397045850190391541760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 8.071282479 \cdot 10^{-1358}$$

Skref til að leysa línulega jöfnu

Leystu upp \frac{0.002}{12} með því að margfalda bæði teljara og nefnara með 1000.

$$165000=\frac{d\left(1-\left(1+\frac{2}{12000}\right)\right)^{-30\times 12}}{\frac{0.08}{12}}$$

Minnka brotið \frac{2}{12000} eins mikið og hægt er með því að draga og stytta út 2.

$$165000=\frac{d\left(1-\left(1+\frac{1}{6000}\right)\right)^{-30\times 12}}{\frac{0.08}{12}}$$

Leggðu saman 1 og \frac{1}{6000} til að fá \frac{6001}{6000}.

$$165000=\frac{d\left(1-\frac{6001}{6000}\right)^{-30\times 12}}{\frac{0.08}{12}}$$

Dragðu \frac{6001}{6000} frá 1 til að fá út -\frac{1}{6000}.

$$165000=\frac{d\left(-\frac{1}{6000}\right)^{-30\times 12}}{\frac{0.08}{12}}$$

Margfaldaðu -30 og 12 til að fá út -360.

$$165000=\frac{d\left(-\frac{1}{6000}\right)^{-360}}{\frac{0.08}{12}}$$

Reiknaðu -\frac{1}{6000} í -360. veldi og fáðu 13628565259765240063307214694325589634102920113198019054884331531100689326724922712286359036775609083873681315039983195474158000332079410323835590817487873336633415588461844399878384196910317307221624044510212548509934422041674051934469269559871047548851882918239704585019039154176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$165000=\frac{d\times 13628565259765240063307214694325589634102920113198019054884331531100689326724922712286359036775609083873681315039983195474158000332079410323835590817487873336633415588461844399878384196910317307221624044510212548509934422041674051934469269559871047548851882918239704585019039154176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{\frac{0.08}{12}}$$

Leystu upp \frac{0.08}{12} með því að margfalda bæði teljara og nefnara með 100.

$$165000=\frac{d\times 13628565259765240063307214694325589634102920113198019054884331531100689326724922712286359036775609083873681315039983195474158000332079410323835590817487873336633415588461844399878384196910317307221624044510212548509934422041674051934469269559871047548851882918239704585019039154176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{\frac{8}{1200}}$$

Minnka brotið \frac{8}{1200} eins mikið og hægt er með því að draga og stytta út 8.

$$165000=\frac{d\times 13628565259765240063307214694325589634102920113198019054884331531100689326724922712286359036775609083873681315039983195474158000332079410323835590817487873336633415588461844399878384196910317307221624044510212548509934422041674051934469269559871047548851882918239704585019039154176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}{\frac{1}{150}}$$

Deildu d\times 13628565259765240063307214694325589634102920113198019054884331531100689326724922712286359036775609083873681315039983195474158000332079410323835590817487873336633415588461844399878384196910317307221624044510212548509934422041674051934469269559871047548851882918239704585019039154176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 með \frac{1}{150} til að fá d\times 2044284788964786009496082204148838445115438016979702858232649729665103399008738406842953855516341362581052197255997479321123700049811911548575338622623181000495012338269276659981757629536547596083243606676531882276490163306251107790170390433980657132327782437735955687752855873126400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$165000=d\times 2044284788964786009496082204148838445115438016979702858232649729665103399008738406842953855516341362581052197255997479321123700049811911548575338622623181000495012338269276659981757629536547596083243606676531882276490163306251107790170390433980657132327782437735955687752855873126400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000$$

Skipta um hliðar svo allir liðir breytunnar séu vinstra megin.

$$d\times 2044284788964786009496082204148838445115438016979702858232649729665103399008738406842953855516341362581052197255997479321123700049811911548575338622623181000495012338269276659981757629536547596083243606676531882276490163306251107790170390433980657132327782437735955687752855873126400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000=165000$$

Deildu báðum hliðum með 2044284788964786009496082204148838445115438016979702858232649729665103399008738406842953855516341362581052197255997479321123700049811911548575338622623181000495012338269276659981757629536547596083243606676531882276490163306251107790170390433980657132327782437735955687752855873126400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$d=\frac{165000}{2044284788964786009496082204148838445115438016979702858232649729665103399008738406842953855516341362581052197255997479321123700049811911548575338622623181000495012338269276659981757629536547596083243606676531882276490163306251107790170390433980657132327782437735955687752855873126400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Minnka brotið \frac{165000}{2044284788964786009496082204148838445115438016979702858232649729665103399008738406842953855516341362581052197255997479321123700049811911548575338622623181000495012338269276659981757629536547596083243606676531882276490163306251107790170390433980657132327782437735955687752855873126400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} eins mikið og hægt er með því að draga og stytta út 15000.

$$d=\frac{11}{136285652597652400633072146943255896341029201131980190548843315311006893267249227122863590367756090838736813150399831954741580003320794103238355908174878733366334155884618443998783841969103173072216240445102125485099344220416740519344692695598710475488518829182397045850190391541760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$