What is 72400*((1+0.053)^{15})/((1+0.042)^{15)} ?

The solution to 72400*((1+0.053)^{15})/((1+0.042)^{15)} is 84751.68657…

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simplify 72400*((1+0.053)^{15})/((1+0.042)^{15)}

simplify

72400 \cdot \frac{( 1 + 0.053 ) ^{15}}{( 1 + 0.042 ) ^{15}}

84751.68657 \dots

Solution steps

72400 \cdot \frac{( 1 + 0.053 ) ^{15}}{( 1 + 0.042 ) ^{15}}

Apply exponent rule:

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

\frac{( 1 + 0.053 ) ^{15}}{( 1 + 0.042 ) ^{15}} = (\frac{1 + 0.053}{1 + 0.042})^{15}

= 72400 (\frac{1 + 0.053}{1 + 0.042})^{15}

(\frac{1 + 0.053}{1 + 0.042})^{15} = \frac{1.05 3 ^{15}}{1.04 2 ^{15}}

= 72400 \cdot \frac{1.05 3 ^{15}}{1.04 2 ^{15}}

Multiply fractions:

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

= \frac{1.05 3 ^{15} \cdot 72400}{1.04 2 ^{15}}

1.05 3^{15} \cdot 72400 = 157095.64075 \dots

= \frac{157095.64075 \dots}{1.04 2 ^{15}}

1.04 2^{15} = 1.85359 \dots

= \frac{157095.64075 \dots}{1.85359 \dots}

Divide the numbers:

\frac{157095.64075 \dots}{1.85359 \dots} = 84751.68657 \dots

= 84751.68657 \dots

e^{- 1} (e^{x})

e^{- t} e^{- l n (t)}

50 \cdot 0.39 \cdot e^{- 0.224 \cdot 2.5}

(2 c i s (\frac{π}{6}))^{- 1}

e^{- λ t}

What is 72400*((1+0.053)^{15})/((1+0.042)^{15)} ?
The solution to 72400*((1+0.053)^{15})/((1+0.042)^{15)} is 84751.68657…