1000divided by(1+.06) raised to the power of 30

asked by guest
on Nov 22, 2024 at 12:13 am



You asked:

Evaluate the expression: 1000(1+.06)30\frac{1000}{{\left( 1 + .06 \right)}^{30}}

MathBot Answer:

1000(1+.06)30=9313225746154785156250000000000000000000000000000000005349042986438842598594824161669986924013455633256649174.11013091063455763645495449399768\frac{1000}{{\left( 1 + .06 \right)}^{30}} = \frac{931322574615478515625000000000000000000000000000000000}{5349042986438842598594824161669986924013455633256649} \approx 174.11013091063455763645495449399768


1000(1+.06)30=1000(1+350)30=1000(5350)30=10005349042986438842598594824161669986924013455633256649931322574615478515625000000000000000000000000000000=9313225746154785156250000000000000000000000000000000005349042986438842598594824161669986924013455633256649\begin{aligned}\frac{1000}{{\left( 1 + .06 \right)}^{30}}&=\frac{1000}{{\left( 1 + \frac{3}{50} \right)}^{30}}\\&=\frac{1000}{{\left( \frac{53}{50} \right)}^{30}}\\&=\frac{1000}{\frac{5349042986438842598594824161669986924013455633256649}{931322574615478515625000000000000000000000000000000}}\\&=\frac{931322574615478515625000000000000000000000000000000000}{5349042986438842598594824161669986924013455633256649}\end{aligned}