What is 53000(1+(0.072)/(365))^{-365(5)} ?

The solution to 53000(1+(0.072)/(365))^{-365(5)} is 36978.15806…

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simplify 53000(1+(0.072)/(365))^{-365(5)}

simplify

53000 (1 + \frac{0.072}{365})^{- 365 (5)}

36978.15806 \dots

Solution steps

53000 (1 + \frac{0.072}{365})^{- 365 (5)}

Apply exponent rule:

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

= 53000 \cdot \frac{1}{( \frac{0.072}{365} + 1 ) ^{365 \cdot 5}}

\frac{1}{( 1 + \frac{0.072}{365} ) ^{365 \cdot 5}} = \frac{1}{1.00019 \dots ^{1825}}

= 53000 \cdot \frac{1}{1.00019 \dots ^{1825}}

Multiply fractions:

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

= \frac{1 \cdot 53000}{1.00019 \dots ^{1825}}

Multiply the numbers:

1 \cdot 53000 = 53000

= \frac{53000}{1.00019 \dots ^{1825}}

1.00019 \dots^{1825} = 1.43327 \dots

= \frac{53000}{1.43327 \dots}

Divide the numbers:

\frac{53000}{1.43327 \dots} = 36978.15806 \dots

= 36978.15806 \dots

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What is 53000(1+(0.072)/(365))^{-365(5)} ?
The solution to 53000(1+(0.072)/(365))^{-365(5)} is 36978.15806…