Solve 4000*(1+0.08)^6-1/0.08=

$$4000 \times \frac { ( 1 + 0.08 ) ^ { 6 } - 1 } { 0.08 } =$$

Evaluate

$$29343.7161472$$

Solution Steps

Add 1 and 0.08 to get 1.08.

$$4000\times \frac{1.08^{6}-1}{0.08}$$

Calculate 1.08 to the power of 6 and get 1.586874322944.

$$4000\times \frac{1.586874322944-1}{0.08}$$

Subtract 1 from 1.586874322944 to get 0.586874322944.

$$4000\times \frac{0.586874322944}{0.08}$$

Expand \frac{0.586874322944}{0.08} by multiplying both numerator and the denominator by 1000000000000.

$$4000\times \frac{586874322944}{80000000000}$$

Reduce the fraction \frac{586874322944}{80000000000} to lowest terms by extracting and canceling out 8192.

$$4000\times \frac{71639932}{9765625}$$

Multiply 4000 and \frac{71639932}{9765625} to get \frac{2292477824}{78125}.

$$\frac{2292477824}{78125}$$

Factor

$$\frac{7 \cdot 13 \cdot 97 \cdot 2029 \cdot 2 ^ {7}}{5 ^ {7}} = 29343\frac{55949}{78125} = 29343.7161472$$