Basic Math Examples

Evaluate (145000*(0.065/12))/(1-(1+0.065/12)^(-12*20))
145000(0.06512)1-(1+0.06512)-1220145000(0.06512)1(1+0.06512)1220
Step 1
Combine 145000145000 and 0.065120.06512.
1450000.065121-(1+0.06512)-12201450000.065121(1+0.06512)1220
Step 2
Simplify the denominator.
Tap for more steps...
Step 2.1
Divide 0.0650.065 by 1212.
1450000.065121-(1+0.005416)-12201450000.065121(1+0.00541¯6)1220
Step 2.2
Add 11 and 0.0054160.00541¯6.
1450000.065121-1.005416-12201450000.0651211.00541¯61220
Step 2.3
Multiply -1212 by 2020.
1450000.065121-1.005416-2401450000.0651211.00541¯6240
Step 2.4
Rewrite the expression using the negative exponent rule b-n=1bnbn=1bn.
1450000.065121-11.0054162401450000.06512111.00541¯6240
Step 2.5
Raise 1.0054161.00541¯6 to the power of 240240.
1450000.065121-13.65644671450000.06512113.6564467
Step 2.6
Divide 11 by 3.65644673.6564467.
1450000.065121-10.273489561450000.06512110.27348956
Step 2.7
Multiply -11 by 0.273489560.27348956.
1450000.065121-0.273489561450000.0651210.27348956
Step 2.8
Subtract 0.273489560.27348956 from 11.
1450000.065120.726510431450000.065120.72651043
1450000.065120.726510431450000.065120.72651043
Step 3
Reduce the expression by cancelling the common factors.
Tap for more steps...
Step 3.1
Multiply 145000145000 by 0.0650.065.
9425120.726510439425120.72651043
Step 3.2
Cancel the common factor of 94259425 and 1212.
Tap for more steps...
Step 3.2.1
Rewrite 94259425 as 1(9425)1(9425).
1(9425)120.726510431(9425)120.72651043
Step 3.2.2
Cancel the common factors.
Tap for more steps...
Step 3.2.2.1
Rewrite 1212 as 1(12)1(12).
194251120.72651043194251120.72651043
Step 3.2.2.2
Cancel the common factor.
194251120.72651043
Step 3.2.2.3
Rewrite the expression.
9425120.72651043
9425120.72651043
9425120.72651043
9425120.72651043
Step 4
Multiply the numerator by the reciprocal of the denominator.
94251210.72651043
Step 5
Divide 1 by 0.72651043.
9425121.37644271
Step 6
Multiply 9425121.37644271.
Tap for more steps...
Step 6.1
Combine 942512 and 1.37644271.
94251.3764427112
Step 6.2
Multiply 9425 by 1.37644271.
12972.9725579612
12972.9725579612
Step 7
Divide 12972.97255796 by 12.
1081.08104649
 [x2  12  π  xdx ]