Solve 4616=4000(1+.018/6)^6

$$4616 = 4000 ( 1 + \frac { .018 } { 6 } ) ^ { 6 }$$

Verify

Solution Steps

Expand \frac{0.018}{6} by multiplying both numerator and the denominator by 1000.

$$4616=4000\left(1+\frac{18}{6000}\right)^{6}$$

Reduce the fraction \frac{18}{6000} to lowest terms by extracting and canceling out 6.

$$4616=4000\left(1+\frac{3}{1000}\right)^{6}$$

Add 1 and \frac{3}{1000} to get \frac{1003}{1000}.

$$4616=4000\times \left(\frac{1003}{1000}\right)^{6}$$

Calculate \frac{1003}{1000} to the power of 6 and get \frac{1018135541216458729}{1000000000000000000}.

$$4616=4000\times \frac{1018135541216458729}{1000000000000000000}$$

Multiply 4000 and \frac{1018135541216458729}{1000000000000000000} to get \frac{1018135541216458729}{250000000000000}.

$$4616=\frac{1018135541216458729}{250000000000000}$$

Convert 4616 to fraction \frac{1154000000000000000}{250000000000000}.

$$\frac{1154000000000000000}{250000000000000}=\frac{1018135541216458729}{250000000000000}$$

Compare \frac{1154000000000000000}{250000000000000} and \frac{1018135541216458729}{250000000000000}.

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