解決y=23,000(1+0.02/4)^4*10 |Microsoft數學求解器

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

解 y

$$y=28078.267439196376311959788870518217802502415608265168147807792700739474081745408183002271325885885744355618953704833984375$$

解線性方程式的步驟

同時對分子與分母乘上 100 以展開 \frac{0.02}{4}。

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

透過找出與消去 2，對分式 \frac{2}{400} 約分至最低項。

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

將 1 與 \frac{1}{200} 相加可以得到 \frac{201}{200}。

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

將 4 乘上 10 得到 40。

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

計算 \frac{201}{200} 的 40 乘冪，然後得到 \frac{134227745813915942713406761033394670229095359441807409520167361384207088637035028863071208001}{109951162777600000000000000000000000000000000000000000000000000000000000000000000000000000000}。

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

將 23000 乘上 \frac{134227745813915942713406761033394670229095359441807409520167361384207088637035028863071208001}{109951162777600000000000000000000000000000000000000000000000000000000000000000000000000000000} 得到 \frac{3087238153720066682408355503768077415269193267161570418963849311836763038651805663850637784023}{109951162777600000000000000000000000000000000000000000000000000000000000000000000000000000}。

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

指定 y

$$y≔28078.267439196376311959788870518217802502415608265168147807792700739474081745408183002271325885885744355618953704833984375$$