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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 30/(1+1.5%)^11+30/(1+1.5%)^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15 .
Question type: Mathematical calculation
Solution:
30/(1+1.5%)^11+30/(1+1.5%)^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15
=30/1.015^11+30/(1+1.5%)^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15
=30/1.015^11+30/1.015^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15
=30/1.015^11+30/1.015^12+30/1.015^13+30/(1+1.5%)^14+30/(1+1.5%)^15
=30/1.015^11+30/1.015^12+30/1.015^13+30/1.015^14+30/(1+1.5%)^15
=30/1.015^11+30/1.015^12+30/1.015^13+30/1.015^14+30/1.015^15
=30/1.177948937400526+30/1.015^12+30/1.015^13+30/1.015^14+30/1.015^15
=30/1.177948937400526+30/1.195618171461534+30/1.015^13+30/1.015^14+30/1.015^15
=30/1.177948937400526+30/1.195618171461534+30/1.213552444033457+30/1.015^14+30/1.015^15
=30/1.177948937400526+30/1.195618171461534+30/1.213552444033457+30/1.231755730693958+30/1.015^15
=30/1.177948937400526+30/1.195618171461534+30/1.213552444033457+30/1.231755730693958+30/1.250232066654368
=25.467997+30/1.195618171461534+30/1.213552444033457+30/1.231755730693958+30/1.250232066654368
=25.467997+25.091623+30/1.213552444033457+30/1.231755730693958+30/1.250232066654368
=25.467997+25.091623+24.72081+30/1.231755730693958+30/1.250232066654368
=25.467997+25.091623+24.72081+24.355478+30/1.250232066654368
=25.467997+25.091623+24.72081+24.355478+23.995545
=50.55962+24.72081+24.355478+23.995545
=75.28043+24.355478+23.995545
=99.635908+23.995545
=123.631453
Answer:30/(1+1.5%)^11+30/(1+1.5%)^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15=123.631453
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 30/(1+1.5%)^11+30/(1+1.5%)^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15 .
Question type: Mathematical calculation
Solution:
30/(1+1.5%)^11+30/(1+1.5%)^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15
=30/1.015^11+30/(1+1.5%)^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15
=30/1.015^11+30/1.015^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15
=30/1.015^11+30/1.015^12+30/1.015^13+30/(1+1.5%)^14+30/(1+1.5%)^15
=30/1.015^11+30/1.015^12+30/1.015^13+30/1.015^14+30/(1+1.5%)^15
=30/1.015^11+30/1.015^12+30/1.015^13+30/1.015^14+30/1.015^15
=30/1.177948937400526+30/1.015^12+30/1.015^13+30/1.015^14+30/1.015^15
=30/1.177948937400526+30/1.195618171461534+30/1.015^13+30/1.015^14+30/1.015^15
=30/1.177948937400526+30/1.195618171461534+30/1.213552444033457+30/1.015^14+30/1.015^15
=30/1.177948937400526+30/1.195618171461534+30/1.213552444033457+30/1.231755730693958+30/1.015^15
=30/1.177948937400526+30/1.195618171461534+30/1.213552444033457+30/1.231755730693958+30/1.250232066654368
=25.467997+30/1.195618171461534+30/1.213552444033457+30/1.231755730693958+30/1.250232066654368
=25.467997+25.091623+30/1.213552444033457+30/1.231755730693958+30/1.250232066654368
=25.467997+25.091623+24.72081+30/1.231755730693958+30/1.250232066654368
=25.467997+25.091623+24.72081+24.355478+30/1.250232066654368
=25.467997+25.091623+24.72081+24.355478+23.995545
=50.55962+24.72081+24.355478+23.995545
=75.28043+24.355478+23.995545
=99.635908+23.995545
=123.631453
Answer:30/(1+1.5%)^11+30/(1+1.5%)^12+30/(1+1.5%)^13+30/(1+1.5%)^14+30/(1+1.5%)^15=123.631453