What is 17430.42(1+0.15*70/180)^{-1} ?

The solution to 17430.42(1+0.15*70/180)^{-1} is 16469.68818…

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simplify 17430.42(1+0.15*70/180)^{-1}

simplify

17430.42 (1 + 0.15 \cdot \frac{70}{180})^{- 1}

16469.68818 \dots

Solution steps

17430.42 (1 + 0.15 \cdot \frac{70}{180})^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

= 17430.42 \cdot \frac{1}{( 0.15 \cdot \frac{70}{180} + 1 )}

\frac{1}{1 + 0.15 \cdot \frac{70}{180}} = \frac{1}{1.05833 \dots}

= 17430.42 \cdot \frac{1}{1.05833 \dots}

Multiply fractions:

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

= \frac{1 \cdot 17430.42}{1.05833 \dots}

Multiply the numbers:

1 \cdot 17430.42 = 17430.42

= \frac{17430.42}{1.05833 \dots}

Divide the numbers:

\frac{17430.42}{1.05833 \dots} = 16469.68818 \dots

= 16469.68818 \dots

- (8315 \cdot 1 0^{- 3}) (298) lo g_{10} (0.5)

\frac{10}{100} (e^{- 1})

5000 \cdot \frac{3.5}{75} \cdot 0.08 \cdot 1 0^{- 9}

402.88 \cdot 9. 3^{- 4} \cdot 3 \cdot (0.57513 + 1)

(\frac{0. 4 ^{5}}{5}) \cdot 4 π \cdot 9 \cdot π \cdot 1 0^{- 9}

What is 17430.42(1+0.15*70/180)^{-1} ?
The solution to 17430.42(1+0.15*70/180)^{-1} is 16469.68818…