(1.02^12-1)/0.02

asked by guest
on Jan 22, 2025 at 4:52 am



You asked:

Evaluate the expression: 1.0212−10.02\frac{{1.02}^{12} - 1}{0.02}

MathBot Answer:

1.0212−10.02=654887193756214156014882812500000000000=13.4120897281272659150848\frac{{1.02}^{12} - 1}{0.02} = \frac{65488719375621415601}{4882812500000000000} = 13.4120897281272659150848

1.0212−10.02=(5150)12−10.02=309629344375621415601244140625000000000000−10.02=654887193756214156012441406250000000000000.02=65488719375621415601244140625000000000000150=654887193756214156014882812500000000000\begin{aligned}\frac{{1.02}^{12} - 1}{0.02}&=\frac{{\left( \frac{51}{50} \right)}^{12} - 1}{0.02}\\&=\frac{\frac{309629344375621415601}{244140625000000000000} - 1}{0.02}\\&=\frac{\frac{65488719375621415601}{244140625000000000000}}{0.02}\\&=\frac{\frac{65488719375621415601}{244140625000000000000}}{\frac{1}{50}}\\&=\frac{65488719375621415601}{4882812500000000000}\end{aligned}

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