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Current location：Mathematical operation > History of Mathematical Computation > Answer
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☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 156000/(1+0.10)^1+156000/(1+0.10)^2+156000/(1+0.10)^3+156000/(1+0.10)^4+156000/(1+0.10)^5+(156000+20000)/(1+0.10)^6-300000 .
Question type: Mathematical calculation
Solution:
156000/(1+0.10)^1+156000/(1+0.10)^2+156000/(1+0.10)^3+156000/(1+0.10)^4+156000/(1+0.10)^5+(156000+20000)/(1+0.10)^6-300000
=156000/1.1^1+156000/(1+0.10)^2+156000/(1+0.10)^3+156000/(1+0.10)^4+156000/(1+0.10)^5+(156000+20000)/(1+0.10)^6-300000
=156000/1.1^1+156000/1.1^2+156000/(1+0.10)^3+156000/(1+0.10)^4+156000/(1+0.10)^5+(156000+20000)/(1+0.10)^6-300000
=156000/1.1^1+156000/1.1^2+156000/1.1^3+156000/(1+0.10)^4+156000/(1+0.10)^5+(156000+20000)/(1+0.10)^6-300000
=156000/1.1^1+156000/1.1^2+156000/1.1^3+156000/1.1^4+156000/(1+0.10)^5+(156000+20000)/(1+0.10)^6-300000
=156000/1.1^1+156000/1.1^2+156000/1.1^3+156000/1.1^4+156000/1.1^5+(156000+20000)/(1+0.10)^6-300000
=156000/1.1^1+156000/1.1^2+156000/1.1^3+156000/1.1^4+156000/1.1^5+176000/(1+0.10)^6-300000
=156000/1.1^1+156000/1.1^2+156000/1.1^3+156000/1.1^4+156000/1.1^5+176000/1.1^6-300000
=156000/1.1+156000/1.1^2+156000/1.1^3+156000/1.1^4+156000/1.1^5+176000/1.1^6-300000
=156000/1.1+156000/1.21+156000/1.1^3+156000/1.1^4+156000/1.1^5+176000/1.1^6-300000
=156000/1.1+156000/1.21+156000/1.331+156000/1.1^4+156000/1.1^5+176000/1.1^6-300000
=156000/1.1+156000/1.21+156000/1.331+156000/1.4641+156000/1.1^5+176000/1.1^6-300000
=156000/1.1+156000/1.21+156000/1.331+156000/1.4641+156000/1.610510000000001+176000/1.1^6-300000
=156000/1.1+156000/1.21+156000/1.331+156000/1.4641+156000/1.610510000000001+176000/1.771561000000001-300000
=141818.181818+156000/1.21+156000/1.331+156000/1.4641+156000/1.610510000000001+176000/1.771561000000001-300000
=141818.181818+128925.619835+156000/1.331+156000/1.4641+156000/1.610510000000001+176000/1.771561000000001-300000
=141818.181818+128925.619835+117205.108941+156000/1.4641+156000/1.610510000000001+176000/1.771561000000001-300000
=141818.181818+128925.619835+117205.108941+106550.099037+156000/1.610510000000001+176000/1.771561000000001-300000
=141818.181818+128925.619835+117205.108941+106550.099037+96863.726397+176000/1.771561000000001-300000
=141818.181818+128925.619835+117205.108941+106550.099037+96863.726397+99347.411689-300000
=270743.801653+117205.108941+106550.099037+96863.726397+99347.411689-300000
=387948.910594+106550.099037+96863.726397+99347.411689-300000
=494499.009631+96863.726397+99347.411689-300000
=591362.736028+99347.411689-300000
=690710.147717-300000
=390710.147717
Answer:156000/(1+0.10)^1+156000/(1+0.10)^2+156000/(1+0.10)^3+156000/(1+0.10)^4+156000/(1+0.10)^5+(156000+20000)/(1+0.10)^6-300000=390710.147717