What is 28250((1+0.0225)^{20})/((1+0.0225)^{60)} ?

The solution to 28250((1+0.0225)^{20})/((1+0.0225)^{60)} is 11600.74244…

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simplify 28250((1+0.0225)^{20})/((1+0.0225)^{60)}

simplify

28250 \frac{( 1 + 0.0225 ) ^{20}}{( 1 + 0.0225 ) ^{60}}

11600.74244 \dots

Solution steps

28250 \cdot \frac{( 1 + 0.0225 ) ^{20}}{( 1 + 0.0225 ) ^{60}}

Apply exponent rule:

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

= 28250 (1 + 0.0225)^{20 - 60}

(1 + 0.0225)^{20 - 60} = 1.022 5^{- 40}

= 28250 \cdot 1.022 5^{- 40}

Apply exponent rule:

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

1.022 5^{- 40} = \frac{1}{1.022 5 ^{40}}

= 28250 \cdot \frac{1}{1.022 5 ^{40}}

Multiply fractions:

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

= \frac{1 \cdot 28250}{1.022 5 ^{40}}

Multiply the numbers:

1 \cdot 28250 = 28250

= \frac{28250}{1.022 5 ^{40}}

1.022 5^{40} = 2.43518 \dots

= \frac{28250}{2.43518 \dots}

Divide the numbers:

\frac{28250}{2.43518 \dots} = 11600.74244 \dots

= 11600.74244 \dots

(e^{- x}) (\frac{1}{2} e^{4 x})

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

1.397 \cdot 1 0^{- 1}

- 0.0024 e^{- 0.02 \cdot 60}

2 e^{t} \cdot \frac{5}{4} e^{t}

What is 28250((1+0.0225)^{20})/((1+0.0225)^{60)} ?
The solution to 28250((1+0.0225)^{20})/((1+0.0225)^{60)} is 11600.74244…