Solve A=80(1+.055/2)^50-1/frac{1055{2}}

$$A = \frac { 80 ( 1 + \frac { .055 } { 2 } ) ^ { 50 } - 1 } { \frac { 1055 } { 2 } }$$

Solve for A

$$A=\frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{83585711452548876161188867604480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 0.586892401$$

Steps for Solving Linear Equation

Expand \frac{0.055}{2} by multiplying both numerator and the denominator by 1000.

$$A=\frac{80\left(1+\frac{55}{2000}\right)^{50}-1}{\frac{1055}{2}}$$

Reduce the fraction \frac{55}{2000} to lowest terms by extracting and canceling out 5.

$$A=\frac{80\left(1+\frac{11}{400}\right)^{50}-1}{\frac{1055}{2}}$$

Add 1 and \frac{11}{400} to get \frac{411}{400}.

$$A=\frac{80\times \left(\frac{411}{400}\right)^{50}-1}{\frac{1055}{2}}$$

Calculate \frac{411}{400} to the power of 50 and get \frac{49214275240573270965330858736598306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{12676506002282294014967032053760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$A=\frac{80\times \frac{49214275240573270965330858736598306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{12676506002282294014967032053760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-1}{\frac{1055}{2}}$$

Multiply 80 and \frac{49214275240573270965330858736598306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{12676506002282294014967032053760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{49214275240573270965330858736598306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$A=\frac{\frac{49214275240573270965330858736598306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}-1}{\frac{1055}{2}}$$

Subtract 1 from \frac{49214275240573270965330858736598306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$A=\frac{\frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}}{\frac{1055}{2}}$$

Divide \frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} by \frac{1055}{2} by multiplying \frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} by the reciprocal of \frac{1055}{2}.

$$A=\frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\times \frac{2}{1055}$$

Multiply \frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{158456325028528675187087900672000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} and \frac{2}{1055} to get \frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{83585711452548876161188867604480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$A=\frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{83585711452548876161188867604480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Assign A

$$A≔\frac{49055818915544742290143770835926306160074689757766535959724459598493978453613174722826422369059059415907176638578203757609416543001}{83585711452548876161188867604480000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$