Lutasin ang 2000{left(1+.075/2right)}^2*6

$$2000 { \left(1+ \frac{ .075 }{ 2 } \right) }^{ 2 \cdot 6 }$$

I-evaluate

$$3110.90866274494690617316518910229206085205078125$$

Mga Hakbang ng Solution

I-expand ang \frac{0.075}{2} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 1000.

$$2000\left(1+\frac{75}{2000}\right)^{2\times 6}$$

Bawasan ang fraction \frac{75}{2000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 25.

$$2000\left(1+\frac{3}{80}\right)^{2\times 6}$$

Idagdag ang 1 at \frac{3}{80} para makuha ang \frac{83}{80}.

$$2000\times \left(\frac{83}{80}\right)^{2\times 6}$$

I-multiply ang 2 at 6 para makuha ang 12.

$$2000\times \left(\frac{83}{80}\right)^{12}$$

Kalkulahin ang \frac{83}{80} sa power ng 12 at kunin ang \frac{106890007738661124410161}{68719476736000000000000}.

$$2000\times \frac{106890007738661124410161}{68719476736000000000000}$$

I-multiply ang 2000 at \frac{106890007738661124410161}{68719476736000000000000} para makuha ang \frac{106890007738661124410161}{34359738368000000000}.

$$\frac{106890007738661124410161}{34359738368000000000}$$

I-factor

$$\frac{83 ^ {12}}{2 ^ {44} \cdot 5 ^ {9}} = 3110\frac{3.1221414181119984 \times 10^{19}}{3.4359738368 \times 10^{19}} = 3110.908662744947$$