What is (1.1)/(0.07-0.2)(1-((1.2)/(1.07))^4) ?

The solution to (1.1)/(0.07-0.2)(1-((1.2)/(1.07))^4) is 4.92410…

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simplify (1.1)/(0.07-0.2)(1-((1.2)/(1.07))^4)

simplify

\frac{1.1}{0.07 - 0.2} (1 - (\frac{1.2}{1.07})^{4})

4.92410 \dots

Solution steps

\frac{1.1}{0.07 - 0.2} (1 - (\frac{1.2}{1.07})^{4})

\frac{1.1}{0.07 - 0.2} = - \frac{1.1}{0.13}

= - \frac{1.1}{0.13} (- (\frac{1.2}{1.07})^{4} + 1)

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= - \frac{1.1}{0.13} (- \frac{1. 2 ^{4}}{1.0 7 ^{4}} + 1)

Multiply fractions:

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

= - \frac{1.1 ( 1 - \frac{1. 2 ^{4}}{1.0 7 ^{4}} )}{0.13}

\frac{1. 2 ^{4}}{1.0 7 ^{4}} = \frac{2.0736}{1.31079601}

= - \frac{1.1 ( - \frac{2.0736}{1.31079601} + 1 )}{0.13}

Divide the numbers:

\frac{2.0736}{1.31079601} = 1.58193 \dots

= - \frac{1.1 ( 1 - 1.58193 \dots )}{0.13}

1.1 (1 - 1.58193 \dots) = - 0.64013 \dots

= - \frac{- 0.64013 \dots}{0.13}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - (- \frac{0.64013 \dots}{0.13})

Apply rule

- (- a) = a

= \frac{0.64013 \dots}{0.13}

Divide the numbers:

\frac{0.64013 \dots}{0.13} = 4.92410 \dots

= 4.92410 \dots

2 + 3 y = 6

(\frac{1}{3})^{3}

s^{2} - 13 s + 12 = 0

10 - 10 x = 1 - 9 x

\frac{1}{3} k + \frac{1}{4} k = 1

What is (1.1)/(0.07-0.2)(1-((1.2)/(1.07))^4) ?
The solution to (1.1)/(0.07-0.2)(1-((1.2)/(1.07))^4) is 4.92410…