100分求一道数学题,

问题描述:

100分求一道数学题,
How quickly will money double if it is invested at a rate of 8 percent compounded continuously?Round your answer to two decimal places.66年,求解释下为什么

compounded continuously:复利增长.复利公式推导过程:设原来为P,利率为r,存期为n.1月后,本利和为P+Pr=P(1+r);2月后,本利和为P(1+r)+P(1+r)r=P(1+r)(1=r)=P(1+r)^2;3月后,本利和为P(1+r)^2+P(1+r)^2*r=P(1+r)^2(1+r...