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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 3*(1+1%)/(1+5%)^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35) .
Question type: Mathematical calculation
Solution:
3*(1+1%)/(1+5%)^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/(1+5%)^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*(1+1%/1.05^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*(1+1%/1.05^34+3*1.01/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*(1+1%/1.05^34+3*1.01/1.05^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*1.551214
=3*1.01/4.321942375150668+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*1.551214
=3*1.01/4.321942375150668+3*1.01/4.538039493908201+3*1.01/1.05^32+3*1.01/1.05^33+3*1.551214
=3*1.01/4.321942375150668+3*1.01/4.538039493908201+3*1.01/4.764941468603611+3*1.01/1.05^33+3*1.551214
=3*1.01/4.321942375150668+3*1.01/4.538039493908201+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=3.03/4.321942375150668+3*1.01/4.538039493908201+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+3*1.01/4.538039493908201+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+3.03/4.538039493908201+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+0.667689+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+0.667689+3.03/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+0.667689+0.635894+3*1.01/5.003188542033792+3*1.551214
=0.701074+0.667689+0.635894+3.03/5.003188542033792+3*1.551214
=0.701074+0.667689+0.635894+0.605614+3*1.551214
=0.701074+0.667689+0.635894+0.605614+4.653642
=1.368763+0.635894+0.605614+4.653642
=2.004657+0.605614+4.653642
=2.610271+4.653642
=7.263913
Answer:3*(1+1%)/(1+5%)^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)=7.263913
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)/(1+5%)^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35) .
Question type: Mathematical calculation
Solution:
3*(1+1%)/(1+5%)^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/(1+5%)^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*(1+1%/1.05^34+3*(1+1%)/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*(1+1%/1.05^34+3*1.01/(1+5%)^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*(1+1%/1.05^34+3*1.01/1.05^35)
=3*1.01/1.05^30+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*1.551214
=3*1.01/4.321942375150668+3*1.01/1.05^31+3*1.01/1.05^32+3*1.01/1.05^33+3*1.551214
=3*1.01/4.321942375150668+3*1.01/4.538039493908201+3*1.01/1.05^32+3*1.01/1.05^33+3*1.551214
=3*1.01/4.321942375150668+3*1.01/4.538039493908201+3*1.01/4.764941468603611+3*1.01/1.05^33+3*1.551214
=3*1.01/4.321942375150668+3*1.01/4.538039493908201+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=3.03/4.321942375150668+3*1.01/4.538039493908201+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+3*1.01/4.538039493908201+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+3.03/4.538039493908201+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+0.667689+3*1.01/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+0.667689+3.03/4.764941468603611+3*1.01/5.003188542033792+3*1.551214
=0.701074+0.667689+0.635894+3*1.01/5.003188542033792+3*1.551214
=0.701074+0.667689+0.635894+3.03/5.003188542033792+3*1.551214
=0.701074+0.667689+0.635894+0.605614+3*1.551214
=0.701074+0.667689+0.635894+0.605614+4.653642
=1.368763+0.635894+0.605614+4.653642
=2.004657+0.605614+4.653642
=2.610271+4.653642
=7.263913
Answer:3*(1+1%)/(1+5%)^30+3*(1+1%)/(1+5%)^31+3*(1+1%)/(1+5%)^32+3*(1+1%)/(1+5%)^33+3*(1+1%/(1+5%)^34+3*(1+1%)/(1+5%)^35)=7.263913