What is 1400(1+(0.06)/(12))^{3*12} ?

The solution to 1400(1+(0.06)/(12))^{3*12} is (7*201^{36})/(200^{35)}

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simplify 1400(1+(0.06)/(12))^{3*12}

simplify

1400 (1 + \frac{0.06}{12})^{3 \cdot 12}

\frac{7 \cdot 20 1 ^{36}}{20 0 ^{35}}

Decimal Notation

1675.35273 \dots

Solution steps

1400 (1 + \frac{0.06}{12})^{3 \cdot 12}

Multiply the numbers:

3 \cdot 12 = 36

= 1400 (1 + \frac{0.06}{12})^{36}

Simplify

1 + \frac{0.06}{12} : \frac{201}{200}

= 1400 (\frac{201}{200})^{36}

Apply exponent rule:

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

(\frac{201}{200})^{36} = \frac{20 1 ^{36}}{20 0 ^{36}}

= 1400 \cdot \frac{20 1 ^{36}}{20 0 ^{36}}

1400 \cdot \frac{20 1 ^{36}}{20 0 ^{36}} = \frac{7 \cdot 20 1 ^{36}}{20 0 ^{35}}

= \frac{7 \cdot 20 1 ^{36}}{20 0 ^{35}}

∣ x - 5 ∣ = ∣ 3 x + 6 ∣

\frac{1}{5} lo g_{a} (x) + 7 lo g_{a} (y) - lo g_{a} (z)

∣ 3 x + 5 ∣ \geq 2

3^{2} + 4

∣ 2 x + 3 ∣ \geq - 11

What is 1400(1+(0.06)/(12))^{3*12} ?
The solution to 1400(1+(0.06)/(12))^{3*12} is (7*201^{36})/(200^{35)}