數(shù)學(xué)數(shù)列付款、還款問題:證明
數(shù)學(xué)數(shù)列付款、還款問題:證明
分期付款模型設(shè)付款總額為a,年利率為r,等額還款數(shù)為b,分n期還完,則b=ar(1+r)^n/[(1+r)^n-1] .
分期付款模型設(shè)付款總額為a,年利率為r,等額還款數(shù)為b,分n期還完,則b=ar(1+r)^n/[(1+r)^n-1] .
數(shù)學(xué)人氣:746 ℃時間:2020-09-23 13:24:27
優(yōu)質(zhì)解答
證明:設(shè)付款余額為{an} a0=a an=(1+r)*a(n-1) - b 假定分m期還完,則am=0 an-b/r=(1+r)*[a(n-1)-b/r] an-b/r=(a0-b/r)*(1+r)^n 當(dāng)n=m時0-b/r=(a...
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