What is 25+(36)/(1+0.6(0.7)^{-10)} ?

The solution to 25+(36)/(1+0.6(0.7)^{-10)} is 26.61864…

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simplify 25+(36)/(1+0.6(0.7)^{-10)}

simplify

25 + \frac{36}{1 + 0.6 ( 0.7 ) ^{- 10}}

26.61864 \dots

Solution steps

25 + \frac{36}{1 + 0.6 \cdot 0. 7 ^{- 10}}

\frac{36}{1 + 0.6 \cdot 0. 7 ^{- 10}} = \frac{36}{22.24079 \dots}

= 25 + \frac{36}{22.24079 \dots}

Convert element to fraction:

25 = \frac{25 \cdot 22.24079 \dots}{22.24079 \dots}

= \frac{25 \cdot 22.24079 \dots}{22.24079 \dots} + \frac{36}{22.24079 \dots}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{25 \cdot 22.24079 \dots + 36}{22.24079 \dots}

25 \cdot 22.24079 \dots + 36 = 592.01997 \dots

= \frac{592.01997 \dots}{22.24079 \dots}

Divide the numbers:

\frac{592.01997 \dots}{22.24079 \dots} = 26.61864 \dots

= 26.61864 \dots

31 p^{2} + 10 p + 1 = 6 p^{2}

w (w + 2) = - 5

3 ∣ 9 b - 1 ∣ - 10 = - 10

∣ 3 x - 19 ∣ = - 11

- \frac{5}{9} + (- \frac{4}{3}) - \frac{2}{3}

What is 25+(36)/(1+0.6(0.7)^{-10)} ?
The solution to 25+(36)/(1+0.6(0.7)^{-10)} is 26.61864…