Solve 15,000(0.07/3)/1-(1+frac{0.07{3})^-3(7)}

$$\frac { 15,000 ( \frac { 0.07 } { 3 } ) } { 1 - ( 1 + \frac { 0.07 } { 3 } ) ^ { - 3 } ( 7 ) }$$

Evaluate

$$-\frac{10127055050}{160065557}\approx -63.268171116$$

Solution Steps

Expand \frac{0.07}{3} by multiplying both numerator and the denominator by 100.

$$\frac{15000\times \frac{7}{300}}{1-\left(1+\frac{0.07}{3}\right)^{-3}\times 7}$$

Multiply 15000 and \frac{7}{300} to get 350.

$$\frac{350}{1-\left(1+\frac{0.07}{3}\right)^{-3}\times 7}$$

Expand \frac{0.07}{3} by multiplying both numerator and the denominator by 100.

$$\frac{350}{1-\left(1+\frac{7}{300}\right)^{-3}\times 7}$$

Add 1 and \frac{7}{300} to get \frac{307}{300}.

$$\frac{350}{1-\left(\frac{307}{300}\right)^{-3}\times 7}$$

Calculate \frac{307}{300} to the power of -3 and get \frac{27000000}{28934443}.

$$\frac{350}{1-\frac{27000000}{28934443}\times 7}$$

Multiply \frac{27000000}{28934443} and 7 to get \frac{189000000}{28934443}.

$$\frac{350}{1-\frac{189000000}{28934443}}$$

Subtract \frac{189000000}{28934443} from 1 to get -\frac{160065557}{28934443}.

$$\frac{350}{-\frac{160065557}{28934443}}$$

Divide 350 by -\frac{160065557}{28934443} by multiplying 350 by the reciprocal of -\frac{160065557}{28934443}.

$$350\left(-\frac{28934443}{160065557}\right)$$

Multiply 350 and -\frac{28934443}{160065557} to get -\frac{10127055050}{160065557}.

$$-\frac{10127055050}{160065557}$$

Factor

$$-\frac{10127055050}{160065557} = -63\frac{42924959}{160065557} = -63.26817111566356$$