5000*((1+609%)^10-1/609%) eching

$$5000 \times ( \frac { ( 1 + 609 \% ) ^ { 10 } - 1 } { 609 \% } )$$

Baholash

$$\frac{52704179649452190345924889}{200000000000000}\approx 263520898247,26095173$$

Yechim qadamlari

\frac{709}{100} olish uchun 1 va \frac{609}{100}'ni qo'shing.

$$5000\times \frac{\left(\frac{709}{100}\right)^{10}-1}{\frac{609}{100}}$$

10 daraja ko‘rsatkichini \frac{709}{100} ga hisoblang va \frac{32096845506516383920668257401}{100000000000000000000} ni qiymatni oling.

$$5000\times \frac{\frac{32096845506516383920668257401}{100000000000000000000}-1}{\frac{609}{100}}$$

\frac{32096845406516383920668257401}{100000000000000000000} olish uchun \frac{32096845506516383920668257401}{100000000000000000000} dan 1 ni ayirish.

$$5000\times \frac{\frac{32096845406516383920668257401}{100000000000000000000}}{\frac{609}{100}}$$

\frac{32096845406516383920668257401}{100000000000000000000} ni \frac{609}{100} ga bo'lish \frac{32096845406516383920668257401}{100000000000000000000} ga k'paytirish \frac{609}{100} ga qaytarish.

$$5000\times \frac{32096845406516383920668257401}{100000000000000000000}\times \frac{100}{609}$$

\frac{52704179649452190345924889}{1000000000000000000} hosil qilish uchun \frac{32096845406516383920668257401}{100000000000000000000} va \frac{100}{609} ni ko'paytirish.

$$5000\times \frac{52704179649452190345924889}{1000000000000000000}$$

\frac{52704179649452190345924889}{200000000000000} hosil qilish uchun 5000 va \frac{52704179649452190345924889}{1000000000000000000} ni ko'paytirish.

$$\frac{52704179649452190345924889}{200000000000000}$$

Omil

$$\frac{11 \cdot 311 \cdot 401 \cdot 809 \cdot 66688751 \cdot 712109051}{2 ^ {15} \cdot 5 ^ {14}} = 263520898247\frac{52196937859072}{200000000000000} = 263520898247,261$$