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

MathBot Answer:

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

\[\begin{aligned}\frac{1000}{{\left( 1 + .06 \right)}^{30}}& = 1000 \cdot \frac{1}{\left(1 + \frac{6}{100}\right)^{30}}\\& = 1000 \cdot \frac{1}{\left(1 + \frac{3}{50}\right)^{30}}\\& = 1000 \cdot \frac{1}{\left(\frac{53}{50}\right)^{30}}\\& = 1000 \cdot \frac{1}{\frac{5349042986438842598594824161669986924013455633256649}{931322574615478515625000000000000000000000000000000}}\\& = \frac{931322574615478515625000000000000000000000000000000000}{5349042986438842598594824161669986924013455633256649}\end{aligned}\]

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