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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
=35.338468+30*1.195618171461534+30*1.213552444033457+30*1.231755730693958+30*1.250232066654368
=35.338468+35.868545+30*1.213552444033457+30*1.231755730693958+30*1.250232066654368
=35.338468+35.868545+36.406573+30*1.231755730693958+30*1.250232066654368
=35.338468+35.868545+36.406573+36.952672+30*1.250232066654368
=35.338468+35.868545+36.406573+36.952672+37.506962
=71.207013+36.406573+36.952672+37.506962
=107.613586+36.952672+37.506962
=144.566258+37.506962
=182.07322
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=182.07322
☆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
=35.338468+30*1.195618171461534+30*1.213552444033457+30*1.231755730693958+30*1.250232066654368
=35.338468+35.868545+30*1.213552444033457+30*1.231755730693958+30*1.250232066654368
=35.338468+35.868545+36.406573+30*1.231755730693958+30*1.250232066654368
=35.338468+35.868545+36.406573+36.952672+30*1.250232066654368
=35.338468+35.868545+36.406573+36.952672+37.506962
=71.207013+36.406573+36.952672+37.506962
=107.613586+36.952672+37.506962
=144.566258+37.506962
=182.07322
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=182.07322