What is 6000(1+(0.67)/(360))^{-1440} ?

The solution to 6000(1+(0.67)/(360))^{-1440} is 412.40486…

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simplify 6000(1+(0.67)/(360))^{-1440}

simplify

6000 (1 + \frac{0.67}{360})^{- 1440}

412.40486 \dots

Solution steps

6000 (1 + \frac{0.67}{360})^{- 1440}

Apply exponent rule:

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

= 6000 \cdot \frac{1}{( \frac{0.67}{360} + 1 ) ^{1440}}

(1 + \frac{0.67}{360})^{1440} = 1.00186 \dots^{1440}

= 6000 \cdot \frac{1}{1.00186 \dots ^{1440}}

Multiply fractions:

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

= \frac{1 \cdot 6000}{1.00186 \dots ^{1440}}

Multiply the numbers:

1 \cdot 6000 = 6000

= \frac{6000}{1.00186 \dots ^{1440}}

1.00186 \dots^{1440} = 14.54880 \dots

= \frac{6000}{14.54880 \dots}

Divide the numbers:

\frac{6000}{14.54880 \dots} = 412.40486 \dots

= 412.40486 \dots

20 (60) e^{- 0.06 (60)}

(16)^{5}

((\frac{y}{2})^{'})^{- 4}

5 e^{- 0.4 (1)}

- 2.178 \cdot 1 0^{- 18} (\frac{1}{( 2 ) ^{2}} - \frac{1}{( 5 ) ^{2}})

What is 6000(1+(0.67)/(360))^{-1440} ?
The solution to 6000(1+(0.67)/(360))^{-1440} is 412.40486…