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https://www.dropbox.com/s/r1agduc5opggd8o/3_t2WXzAzh7QEOZXSne4B19wf_kbeX8KZxeAZDjnzWc.jpg?dl=0 show steps plz! THX a lot. ^^
最佳解答:
a) A1＝5000－M A2＝5000－2M A3＝5000－3M A4＝(5000－3M)(1＋1%)－M∴ A4＝(5000－3M)(1.01)－M(Sorry, the question is not clear, an expression for A?, so I list out A1 to A4.) b) A5＝A4*1.01－M ＝[(5000－3M)(1.01)－M]*1.01－M ＝(5000－3M)(1.01)^2－M*1.01－M ＝(5000－3M)(1.01)^2－M(1＋1.01) c) ..., therefore,A36＝(5000－3M)(1.01)^(36－3)－M(1＋1.01＋?＋1.01^(36-4)] ＝(5000－3M)(1.01)^33－M(1.01^33－1)/(1.01－1) ＝5000*1.01^33－3M*1.01^33－100M*1.01^33＋100M ＝5000*1.01^33－M(103*1.01^33－100) d) As A36 is the amount owing at the end of 36th repayment, so, A36＝0.∴ 5000*1.01^33－M(103*1.01^33－100)＝0 M＝5000*1.01^33/(103*1.01^33－100)＝161.3439692...∴ M＝161.35 (round up to 2 d.p.)
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1條數-->5點!!!!!!!!!!!!!!!!!!!!!!發問:
https://www.dropbox.com/s/r1agduc5opggd8o/3_t2WXzAzh7QEOZXSne4B19wf_kbeX8KZxeAZDjnzWc.jpg?dl=0 show steps plz! THX a lot. ^^
最佳解答:
a) A1＝5000－M A2＝5000－2M A3＝5000－3M A4＝(5000－3M)(1＋1%)－M∴ A4＝(5000－3M)(1.01)－M(Sorry, the question is not clear, an expression for A?, so I list out A1 to A4.) b) A5＝A4*1.01－M ＝[(5000－3M)(1.01)－M]*1.01－M ＝(5000－3M)(1.01)^2－M*1.01－M ＝(5000－3M)(1.01)^2－M(1＋1.01) c) ..., therefore,A36＝(5000－3M)(1.01)^(36－3)－M(1＋1.01＋?＋1.01^(36-4)] ＝(5000－3M)(1.01)^33－M(1.01^33－1)/(1.01－1) ＝5000*1.01^33－3M*1.01^33－100M*1.01^33＋100M ＝5000*1.01^33－M(103*1.01^33－100) d) As A36 is the amount owing at the end of 36th repayment, so, A36＝0.∴ 5000*1.01^33－M(103*1.01^33－100)＝0 M＝5000*1.01^33/(103*1.01^33－100)＝161.3439692...∴ M＝161.35 (round up to 2 d.p.)
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