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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 11700*(1.08)+11700*(1.08)^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9 .
Question type: Mathematical calculation
Solution:
11700*(1.08)+11700*(1.08)^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*(1.08)^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+18566.429578+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+18566.429578+20051.743945+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+18566.429578+20051.743945+21655.88346+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+18566.429578+20051.743945+21655.88346+23388.354137
=26282.88+14738.6304+15917.720832+17191.138499+18566.429578+20051.743945+21655.88346+23388.354137
=41021.5104+15917.720832+17191.138499+18566.429578+20051.743945+21655.88346+23388.354137
=56939.231232+17191.138499+18566.429578+20051.743945+21655.88346+23388.354137
=74130.369731+18566.429578+20051.743945+21655.88346+23388.354137
=92696.799309+20051.743945+21655.88346+23388.354137
=112748.543254+21655.88346+23388.354137
=134404.426714+23388.354137
=157792.780851
Answer:11700*(1.08)+11700*(1.08)^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9=157792.780851
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 11700*(1.08)+11700*(1.08)^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9 .
Question type: Mathematical calculation
Solution:
11700*(1.08)+11700*(1.08)^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*(1.08)^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*(1.08)^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*(1.08)^9
=11700*1.08+11700*1.08^2+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.08^3+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.08^4+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.08^5+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.08^6+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.08^7+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.08^8+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.08^9
=11700*1.08+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+11700*1.1664+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+11700*1.259712+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+11700*1.36048896+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+11700*1.469328076800001+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+11700*1.586874322944001+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+18566.429578+11700*1.713824268779521+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+18566.429578+20051.743945+11700*1.850930210281883+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+18566.429578+20051.743945+21655.88346+11700*1.999004627104433
=12636+13646.88+14738.6304+15917.720832+17191.138499+18566.429578+20051.743945+21655.88346+23388.354137
=26282.88+14738.6304+15917.720832+17191.138499+18566.429578+20051.743945+21655.88346+23388.354137
=41021.5104+15917.720832+17191.138499+18566.429578+20051.743945+21655.88346+23388.354137
=56939.231232+17191.138499+18566.429578+20051.743945+21655.88346+23388.354137
=74130.369731+18566.429578+20051.743945+21655.88346+23388.354137
=92696.799309+20051.743945+21655.88346+23388.354137
=112748.543254+21655.88346+23388.354137
=134404.426714+23388.354137
=157792.780851
Answer:11700*(1.08)+11700*(1.08)^2+11700*(1.08)^3+11700*(1.08)^4+11700*(1.08)^5+11700*(1.08)^6+11700*(1.08)^7+11700*(1.08)^8+11700*(1.08)^9=157792.780851