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A=13000\left(1+\frac{12}{36500}\right)^{36}
Expand \frac{0.12}{365} by multiplying both numerator and the denominator by 100.
A=13000\left(1+\frac{3}{9125}\right)^{36}
Reduce the fraction \frac{12}{36500} to lowest terms by extracting and canceling out 4.
A=13000\times \left(\frac{9128}{9125}\right)^{36}
Add 1 and \frac{3}{9125} to get \frac{9128}{9125}.
A=13000\times \frac{37456115087475667804955595734967129590832577626776353031106454263493092979400599663818586822188636569789198137605486408354747639698048728170496}{37015484017575547782195141716544967041121417936317443617593255572441894622020414027082933315030899485732762688172670095809735357761383056640625}
Calculate \frac{9128}{9125} to the power of 36 and get \frac{37456115087475667804955595734967129590832577626776353031106454263493092979400599663818586822188636569789198137605486408354747639698048728170496}{37015484017575547782195141716544967041121417936317443617593255572441894622020414027082933315030899485732762688172670095809735357761383056640625}.
A=\frac{3895435969097469451715381956436581477446588073184740715235071243403281669857662365037133029507618203258076606310970586468893754528597067729731584}{296123872140604382257561133732359736328971343490539548940746044579535156976163312216663466520247195885862101505381360766477882862091064453125}
Multiply 13000 and \frac{37456115087475667804955595734967129590832577626776353031106454263493092979400599663818586822188636569789198137605486408354747639698048728170496}{37015484017575547782195141716544967041121417936317443617593255572441894622020414027082933315030899485732762688172670095809735357761383056640625} to get \frac{3895435969097469451715381956436581477446588073184740715235071243403281669857662365037133029507618203258076606310970586468893754528597067729731584}{296123872140604382257561133732359736328971343490539548940746044579535156976163312216663466520247195885862101505381360766477882862091064453125}.