Solve 2500*(1+1.75%*2500*1)

$$2500 \times (1+1.75 \% \times 2500 \times 1)$$

Evaluate

$$111875$$

Solution Steps

Expand \frac{1.75}{100} by multiplying both numerator and the denominator by 100.

$$2500\left(1+\frac{175}{10000}\times 2500\times 1\right)$$

Reduce the fraction \frac{175}{10000} to lowest terms by extracting and canceling out 25.

$$2500\left(1+\frac{7}{400}\times 2500\times 1\right)$$

Express \frac{7}{400}\times 2500 as a single fraction.

$$2500\left(1+\frac{7\times 2500}{400}\times 1\right)$$

Multiply 7 and 2500 to get 17500.

$$2500\left(1+\frac{17500}{400}\times 1\right)$$

Reduce the fraction \frac{17500}{400} to lowest terms by extracting and canceling out 100.

$$2500\left(1+\frac{175}{4}\times 1\right)$$

Multiply \frac{175}{4} and 1 to get \frac{175}{4}.

$$2500\left(1+\frac{175}{4}\right)$$

Convert 1 to fraction \frac{4}{4}.

$$2500\left(\frac{4}{4}+\frac{175}{4}\right)$$

Since \frac{4}{4} and \frac{175}{4} have the same denominator, add them by adding their numerators.

$$2500\times \frac{4+175}{4}$$

Add 4 and 175 to get 179.

$$2500\times \frac{179}{4}$$

Express 2500\times \frac{179}{4} as a single fraction.

$$\frac{2500\times 179}{4}$$

Multiply 2500 and 179 to get 447500.

$$\frac{447500}{4}$$

Divide 447500 by 4 to get 111875.

$$111875$$

Factor

$$179\times 5^{4}$$