Solve y=23,000(1+0.02/4)^4*10

$$y = 23,000 ( 1 + \frac { 0.02 } { 4 } ) ^ { 4 \cdot 10 }$$

Solve for y

$$y=28078.267439196376311959788870518217802502415608265168147807792700739474081745408183002271325885885744355618953704833984375$$

Steps for Solving Linear Equation

Expand \frac{0.02}{4} by multiplying both numerator and the denominator by 100.

$$y=23000\left(1+\frac{2}{400}\right)^{4\times 10}$$

Reduce the fraction \frac{2}{400} to lowest terms by extracting and canceling out 2.

$$y=23000\left(1+\frac{1}{200}\right)^{4\times 10}$$

Add 1 and \frac{1}{200} to get \frac{201}{200}.

$$y=23000\times \left(\frac{201}{200}\right)^{4\times 10}$$

Multiply 4 and 10 to get 40.

$$y=23000\times \left(\frac{201}{200}\right)^{40}$$

Calculate \frac{201}{200} to the power of 40 and get \frac{134227745813915942713406761033394670229095359441807409520167361384207088637035028863071208001}{109951162777600000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$y=23000\times \frac{134227745813915942713406761033394670229095359441807409520167361384207088637035028863071208001}{109951162777600000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Multiply 23000 and \frac{134227745813915942713406761033394670229095359441807409520167361384207088637035028863071208001}{109951162777600000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{3087238153720066682408355503768077415269193267161570418963849311836763038651805663850637784023}{109951162777600000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$y=\frac{3087238153720066682408355503768077415269193267161570418963849311836763038651805663850637784023}{109951162777600000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Assign y

$$y≔28078.267439196376311959788870518217802502415608265168147807792700739474081745408183002271325885885744355618953704833984375$$