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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%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7 .
Question type: Mathematical calculation
Solution:
30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.015^5+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+31.370351+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+31.370351+31.840907+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+31.370351+31.840907+32.31852+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+30*1.10984491290178
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347
=61.35675+31.370351+31.840907+32.31852+32.803298+33.295347
=92.727101+31.840907+32.31852+32.803298+33.295347
=124.568008+32.31852+32.803298+33.295347
=156.886528+32.803298+33.295347
=189.689826+33.295347
=222.985173
Answer:30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7=222.985173
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7 .
Question type: Mathematical calculation
Solution:
30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*(1+1.5%)^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*(1+1.5%)^7
=30*1.015+30*1.015^2+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.015^3+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.015^4+30*1.015^5+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.015^5+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.015^6+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.015^7
=30*1.015+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30*1.030225+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+30*1.045678375+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+31.370351+30*1.061363550625+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+31.370351+31.840907+30*1.077284003884375+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+31.370351+31.840907+32.31852+30*1.09344326394264+30*1.10984491290178
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+30*1.10984491290178
=30.45+30.90675+31.370351+31.840907+32.31852+32.803298+33.295347
=61.35675+31.370351+31.840907+32.31852+32.803298+33.295347
=92.727101+31.840907+32.31852+32.803298+33.295347
=124.568008+32.31852+32.803298+33.295347
=156.886528+32.803298+33.295347
=189.689826+33.295347
=222.985173
Answer:30*(1+1.5%)+30*(1+1.5%)^2+30*(1+1.5%)^3+30*(1+1.5%)^4+30*(1+1.5%)^5+30*(1+1.5%)^6+30*(1+1.5%)^7=222.985173