Solve 750,000=P(41+0.07/4)2*12

$$750,000 = P ( 41 + \frac { 0.07 } { 4 } ) 2 \times 12$$

Solve for P

$$P = \frac{12500000}{16407} = 761\frac{14273}{16407} \approx 761.869933565$$

Steps for Solving Linear Equation

Expand \frac{0.07}{4} by multiplying both numerator and the denominator by 100.

$$750000=P\left(41+\frac{7}{400}\right)\times 2\times 12$$

Convert 41 to fraction \frac{16400}{400}.

$$750000=P\left(\frac{16400}{400}+\frac{7}{400}\right)\times 2\times 12$$

Since \frac{16400}{400} and \frac{7}{400} have the same denominator, add them by adding their numerators.

$$750000=P\times \frac{16400+7}{400}\times 2\times 12$$

Add 16400 and 7 to get 16407.

$$750000=P\times \frac{16407}{400}\times 2\times 12$$

Express \frac{16407}{400}\times 2 as a single fraction.

$$750000=P\times \frac{16407\times 2}{400}\times 12$$

Multiply 16407 and 2 to get 32814.

$$750000=P\times \frac{32814}{400}\times 12$$

Reduce the fraction \frac{32814}{400} to lowest terms by extracting and canceling out 2.

$$750000=P\times \frac{16407}{200}\times 12$$

Express \frac{16407}{200}\times 12 as a single fraction.

$$750000=P\times \frac{16407\times 12}{200}$$

Multiply 16407 and 12 to get 196884.

$$750000=P\times \frac{196884}{200}$$

Reduce the fraction \frac{196884}{200} to lowest terms by extracting and canceling out 4.

$$750000=P\times \frac{49221}{50}$$

Swap sides so that all variable terms are on the left hand side.

$$P\times \frac{49221}{50}=750000$$

Multiply both sides by \frac{50}{49221}, the reciprocal of \frac{49221}{50}.

$$P=750000\times \frac{50}{49221}$$

Express 750000\times \frac{50}{49221} as a single fraction.

$$P=\frac{750000\times 50}{49221}$$

Multiply 750000 and 50 to get 37500000.

$$P=\frac{37500000}{49221}$$

Reduce the fraction \frac{37500000}{49221} to lowest terms by extracting and canceling out 3.

$$P=\frac{12500000}{16407}$$