Evaluate (160000(0.07/12))/(1-(1+0.07/12)^(-12*(30)))

Math
160000(0.0712)(1-(1+0.0712)-12⋅(30))
Combine 160000 and 0.0712.
160000⋅0.07121-(1+0.0712)-12⋅30
Simplify the denominator.
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Divide 0.07 by 12.
160000⋅0.07121-(1+0.00583‾)-12⋅30
Add 1 and 0.00583‾.
160000⋅0.07121-1.00583‾-12⋅30
Multiply -12 by 30.
160000⋅0.07121-1.00583‾-360
Rewrite the expression using the negative exponent rule b-n=1bn.
160000⋅0.07121-11.00583‾360
Raise 1.00583‾ to the power of 360.
160000⋅0.07121-18.11649747
Divide 1 by 8.11649747.
160000⋅0.07121-1⋅0.12320585
Multiply -1 by 0.12320585.
160000⋅0.07121-0.12320585
Subtract 0.12320585 from 1.
160000⋅0.07120.87679414
160000⋅0.07120.87679414
Reduce the expression by cancelling the common factors.
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Multiply 160000 by 0.07.
11200120.87679414
Cancel the common factor of 11200 and 12.
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Factor 4 out of 11200.
4(2800)120.87679414
Cancel the common factors.
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Factor 4 out of 12.
4⋅28004⋅30.87679414
Cancel the common factor.
4⋅28004⋅30.87679414
Rewrite the expression.
280030.87679414
280030.87679414
280030.87679414
280030.87679414
Multiply the numerator by the reciprocal of the denominator.
28003⋅10.87679414
Divide 1 by 0.87679414.
28003⋅1.14051856
Multiply 28003⋅1.14051856.
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Combine 28003 and 1.14051856.
2800⋅1.140518563
Multiply 2800 by 1.14051856.
3193.451976863
3193.451976863
Divide 3193.45197686 by 3.
1064.48399228
Evaluate (160000(0.07/12))/(1-(1+0.07/12)^(-12*(30)))

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