What is 1000(1+(0.09)/(12))^{60} ?

The solution to 1000(1+(0.09)/(12))^{60} is (403^{60})/(2^{237)*5^{117}}

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simplify 1000(1+(0.09)/(12))^{60}

simplify

1000 (1 + \frac{0.09}{12})^{60}

\frac{40 3 ^{60}}{2 ^{237} \cdot 5 ^{117}}

Decimal Notation

1565.68102 \dots

Solution steps

1000 (1 + \frac{0.09}{12})^{60}

Simplify

1 + \frac{0.09}{12} : \frac{403}{400}

= 1000 (\frac{403}{400})^{60}

Apply exponent rule:

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

(\frac{403}{400})^{60} = \frac{40 3 ^{60}}{40 0 ^{60}}

= 1000 \cdot \frac{40 3 ^{60}}{40 0 ^{60}}

1000 \cdot \frac{40 3 ^{60}}{40 0 ^{60}} = \frac{40 3 ^{60}}{2 ^{237} \cdot 5 ^{117}}

= \frac{40 3 ^{60}}{2 ^{237} \cdot 5 ^{117}}

- 12 < x < 12

7 x + 49

1 + \frac{0.06}{4}

3 = c \cdot 1

4 (7 - 3 n) - 4 n = 7 (n + 4)

What is 1000(1+(0.09)/(12))^{60} ?
The solution to 1000(1+(0.09)/(12))^{60} is (403^{60})/(2^{237)*5^{117}}