Solve A=2600(1+(0.055/12)(12-25)

$$A = 2600 ( 1 + ( 0.055 / 12 ) ( 12 - 25 )$$

Solve for A

$$A = \frac{29341}{12} = 2445\frac{1}{12} \approx 2445.083333333$$

Steps for Solving Linear Equation

Expand \frac{0.055}{12} by multiplying both numerator and the denominator by 1000.

$$A=2600\left(1+\frac{55}{12000}\left(12-25\right)\right)$$

Reduce the fraction \frac{55}{12000} to lowest terms by extracting and canceling out 5.

$$A=2600\left(1+\frac{11}{2400}\left(12-25\right)\right)$$

Subtract 25 from 12 to get -13.

$$A=2600\left(1+\frac{11}{2400}\left(-13\right)\right)$$

Express \frac{11}{2400}\left(-13\right) as a single fraction.

$$A=2600\left(1+\frac{11\left(-13\right)}{2400}\right)$$

Multiply 11 and -13 to get -143.

$$A=2600\left(1+\frac{-143}{2400}\right)$$

Fraction \frac{-143}{2400} can be rewritten as -\frac{143}{2400} by extracting the negative sign.

$$A=2600\left(1-\frac{143}{2400}\right)$$

Convert 1 to fraction \frac{2400}{2400}.

$$A=2600\left(\frac{2400}{2400}-\frac{143}{2400}\right)$$

Since \frac{2400}{2400} and \frac{143}{2400} have the same denominator, subtract them by subtracting their numerators.

$$A=2600\times \frac{2400-143}{2400}$$

Subtract 143 from 2400 to get 2257.

$$A=2600\times \frac{2257}{2400}$$

Express 2600\times \frac{2257}{2400} as a single fraction.

$$A=\frac{2600\times 2257}{2400}$$

Multiply 2600 and 2257 to get 5868200.

$$A=\frac{5868200}{2400}$$

Reduce the fraction \frac{5868200}{2400} to lowest terms by extracting and canceling out 200.

$$A=\frac{29341}{12}$$

Assign A

$$A≔\frac{29341}{12}$$