Equations
Unfold
Math OP
Fold
Linear algebra
Unfold
Mathematical calculation：
Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
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 3/(1+5%)^30+3/(1+5%)^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40 .
Question type: Mathematical calculation
Solution:
3/(1+5%)^30+3/(1+5%)^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/(1+5%)^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=1.35521+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=1.984808+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=2.584426+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=3.15549+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=3.699361+0.517972+0.493307+0.469816+0.447444+0.426137
=4.217333+0.493307+0.469816+0.447444+0.426137
=4.71064+0.469816+0.447444+0.426137
=5.180456+0.447444+0.426137
=5.6279+0.426137
=6.054037
Answer:3/(1+5%)^30+3/(1+5%)^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40=6.054037
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 3/(1+5%)^30+3/(1+5%)^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40 .
Question type: Mathematical calculation
Solution:
3/(1+5%)^30+3/(1+5%)^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/(1+5%)^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/(1+5%)^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/(1+5%)^40
=3/1.05^30+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/1.05^31+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/1.05^32+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/1.05^33+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/1.05^34+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/1.05^35+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/1.05^36+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/1.05^37+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/1.05^38+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/1.05^39+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/1.05^40
=3/4.321942375150668+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+3/4.538039493908201+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+3/4.764941468603611+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+3/5.003188542033792+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+3/5.253347969135482+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+3/5.516015367592257+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+3/5.791816135971869+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+3/6.081406942770463+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+3/6.385477289908986+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+3/6.704751154404436+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+3/7.039988712124658
=0.694132+0.661078+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=1.35521+0.629598+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=1.984808+0.599618+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=2.584426+0.571064+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=3.15549+0.543871+0.517972+0.493307+0.469816+0.447444+0.426137
=3.699361+0.517972+0.493307+0.469816+0.447444+0.426137
=4.217333+0.493307+0.469816+0.447444+0.426137
=4.71064+0.469816+0.447444+0.426137
=5.180456+0.447444+0.426137
=5.6279+0.426137
=6.054037
Answer:3/(1+5%)^30+3/(1+5%)^31+3/(1+5%)^32+3/(1+5%)^33+3/(1+5%)^34+3/(1+5%)^35+3/(1+5%)^36+3/(1+5%)^37+3/(1+5%)^38+3/(1+5%)^39+3/(1+5%)^40=6.054037