# Evaluate (140000(0.07/12))/(1-(1+0.07/12)^(-12*15))

140000(0.0712)1-(1+0.0712)-12⋅15
Combine 140000 and 0.0712.
140000⋅0.07121-(1+0.0712)-12⋅15
Simplify the denominator.
Divide 0.07 by 12.
140000⋅0.07121-(1+0.00583‾)-12⋅15
140000⋅0.07121-1.00583‾-12⋅15
Multiply -12 by 15.
140000⋅0.07121-1.00583‾-180
Rewrite the expression using the negative exponent rule b-n=1bn.
140000⋅0.07121-11.00583‾180
Raise 1.00583‾ to the power of 180.
140000⋅0.07121-12.84894673
Divide 1 by 2.84894673.
140000⋅0.07121-1⋅0.35100691
Multiply -1 by 0.35100691.
140000⋅0.07121-0.35100691
Subtract 0.35100691 from 1.
140000⋅0.07120.64899308
140000⋅0.07120.64899308
Reduce the expression by cancelling the common factors.
Multiply 140000 by 0.07.
9800120.64899308
Cancel the common factor of 9800 and 12.
Factor 4 out of 9800.
4(2450)120.64899308
Cancel the common factors.
Factor 4 out of 12.
4⋅24504⋅30.64899308
Cancel the common factor.
4⋅24504⋅30.64899308
Rewrite the expression.
245030.64899308
245030.64899308
245030.64899308
245030.64899308
Multiply the numerator by the reciprocal of the denominator.
24503⋅10.64899308
Divide 1 by 0.64899308.
24503⋅1.54084846
Multiply 24503⋅1.54084846.
Combine 24503 and 1.54084846.
2450⋅1.540848463
Multiply 2450 by 1.54084846.
3775.078737583
3775.078737583
Divide 3775.07873758 by 3.
1258.35957919
Evaluate (140000(0.07/12))/(1-(1+0.07/12)^(-12*15))

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