Basic Math Examples

Evaluate (140000(0.08/12))/(1-(1+0.08/12)^(-12*30))
140000(0.0812)1-(1+0.0812)-1230
Step 1
Combine 140000 and 0.0812.
1400000.08121-(1+0.0812)-1230
Step 2
Simplify the denominator.
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Step 2.1
Divide 0.08 by 12.
1400000.08121-(1+0.006)-1230
Step 2.2
Add 1 and 0.006.
1400000.08121-1.006-1230
Step 2.3
Multiply -12 by 30.
1400000.08121-1.006-360
Step 2.4
Rewrite the expression using the negative exponent rule b-n=1bn.
1400000.08121-11.006360
Step 2.5
Raise 1.006 to the power of 360.
1400000.08121-110.93572965
Step 2.6
Divide 1 by 10.93572965.
1400000.08121-10.09144337
Step 2.7
Multiply -1 by 0.09144337.
1400000.08121-0.09144337
Step 2.8
Subtract 0.09144337 from 1.
1400000.08120.90855662
1400000.08120.90855662
Step 3
Reduce the expression by cancelling the common factors.
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Step 3.1
Multiply 140000 by 0.08.
11200120.90855662
Step 3.2
Cancel the common factor of 11200 and 12.
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Step 3.2.1
Factor 4 out of 11200.
4(2800)120.90855662
Step 3.2.2
Cancel the common factors.
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Step 3.2.2.1
Factor 4 out of 12.
42800430.90855662
Step 3.2.2.2
Cancel the common factor.
42800430.90855662
Step 3.2.2.3
Rewrite the expression.
280030.90855662
280030.90855662
280030.90855662
280030.90855662
Step 4
Multiply the numerator by the reciprocal of the denominator.
2800310.90855662
Step 5
Divide 1 by 0.90855662.
280031.10064686
Step 6
Multiply 280031.10064686.
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Step 6.1
Combine 28003 and 1.10064686.
28001.100646863
Step 6.2
Multiply 2800 by 1.10064686.
3081.811210293
3081.811210293
Step 7
Divide 3081.81121029 by 3.
1027.27040343
 [x2  12  π  xdx ]