Solve 8000left(1+0.06/4right)4*5

$$8000 \left( 1+ \frac{ 0.06 }{ 4 } \right) 4 \cdot 5$$

Evaluate

$$162400$$

Solution Steps

Expand \frac{0.06}{4} by multiplying both numerator and the denominator by 100.

$$8000\left(1+\frac{6}{400}\right)\times 4\times 5$$

Reduce the fraction \frac{6}{400} to lowest terms by extracting and canceling out 2.

$$8000\left(1+\frac{3}{200}\right)\times 4\times 5$$

Convert 1 to fraction \frac{200}{200}.

$$8000\left(\frac{200}{200}+\frac{3}{200}\right)\times 4\times 5$$

Since \frac{200}{200} and \frac{3}{200} have the same denominator, add them by adding their numerators.

$$8000\times \frac{200+3}{200}\times 4\times 5$$

Add 200 and 3 to get 203.

$$8000\times \frac{203}{200}\times 4\times 5$$

Express 8000\times \frac{203}{200} as a single fraction.

$$\frac{8000\times 203}{200}\times 4\times 5$$

Multiply 8000 and 203 to get 1624000.

$$\frac{1624000}{200}\times 4\times 5$$

Divide 1624000 by 200 to get 8120.

$$8120\times 4\times 5$$

Multiply 8120 and 4 to get 32480.

$$32480\times 5$$

Multiply 32480 and 5 to get 162400.

$$162400$$

Factor

$$7\times 29\times 2^{5}\times 5^{2}$$