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Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)/(1+5%)^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40 .
Question type: Mathematical calculation
Solution:
3*(1+1%)/(1+5%)^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/(1+5%)^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/1.05^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/1.05^39+3*1.01/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/1.05^39+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/1.05^39+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/6.081406942770463+3*1.01/1.05^38+3*1.01/1.05^39+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/1.05^39+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=3.03/5.791816135971869+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+3.03/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+3.03/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+0.474514+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+0.474514+3.03/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+0.474514+0.451918+3*1.01/7.039988712124658
=0.523152+0.49824+0.474514+0.451918+3.03/7.039988712124658
=0.523152+0.49824+0.474514+0.451918+0.430398
=1.021392+0.474514+0.451918+0.430398
=1.495906+0.451918+0.430398
=1.947824+0.430398
=2.378222
Answer:3*(1+1%)/(1+5%)^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40=2.378222
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3*(1+1%)/(1+5%)^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40 .
Question type: Mathematical calculation
Solution:
3*(1+1%)/(1+5%)^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/(1+5%)^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/(1+5%)^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/1.05^39+3*(1+1%)/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/1.05^39+3*1.01/(1+5%)^40
=3*1.01/1.05^36+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/1.05^39+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/1.05^37+3*1.01/1.05^38+3*1.01/1.05^39+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/6.081406942770463+3*1.01/1.05^38+3*1.01/1.05^39+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/1.05^39+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/1.05^40
=3*1.01/5.791816135971869+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=3.03/5.791816135971869+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+3*1.01/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+3.03/6.081406942770463+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+3*1.01/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+3.03/6.385477289908986+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+0.474514+3*1.01/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+0.474514+3.03/6.704751154404436+3*1.01/7.039988712124658
=0.523152+0.49824+0.474514+0.451918+3*1.01/7.039988712124658
=0.523152+0.49824+0.474514+0.451918+3.03/7.039988712124658
=0.523152+0.49824+0.474514+0.451918+0.430398
=1.021392+0.474514+0.451918+0.430398
=1.495906+0.451918+0.430398
=1.947824+0.430398
=2.378222
Answer:3*(1+1%)/(1+5%)^36+3*(1+1%)/(1+5%)^37+3*(1+1%)/(1+5%)^38+3*(1+1%)/(1+5%)^39+3*(1+1%)/(1+5%)^40=2.378222