Solve 1000(1+4%)2

$$1000(1+4 \% )2$$

Evaluate

$$2080$$

Solution Steps

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$1000\left(1+\frac{1}{25}\right)\times 2$$

Convert 1 to fraction \frac{25}{25}.

$$1000\left(\frac{25}{25}+\frac{1}{25}\right)\times 2$$

Since \frac{25}{25} and \frac{1}{25} have the same denominator, add them by adding their numerators.

$$1000\times \frac{25+1}{25}\times 2$$

Add 25 and 1 to get 26.

$$1000\times \frac{26}{25}\times 2$$

Express 1000\times \frac{26}{25} as a single fraction.

$$\frac{1000\times 26}{25}\times 2$$

Multiply 1000 and 26 to get 26000.

$$\frac{26000}{25}\times 2$$

Divide 26000 by 25 to get 1040.

$$1040\times 2$$

Multiply 1040 and 2 to get 2080.

$$2080$$

Factor

$$2^{5}\times 5\times 13$$