作业帮关于存款的数学问题I now have $11,000 in the bank earning interest of
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关于存款的数学问题
I now have $11,000 in the bank earning interest of .75% per month. I need $21,000 to make a down payment on a house. I can save an additional $100 per month. How long will it take me to accumulate the $21,000?
大概译文：
我现在有$11,000,每月0.75％的银行赚取利息.我需要买21000美元作首付的房子.我可以每月多存下100元.需要多长时间我才能有21000美元?
保留两位有效小数
I now have $11,000 in the bank earning interest of .75% per month. I need $21,000 to make a down payment on a house. I can save an additional $100 per month. How long will it take me to accumulate the $21,000?
大概译文：
我现在有$11,000,每月0.75％的银行赚取利息.我需要买21000美元作首付的房子.我可以每月多存下100元.需要多长时间我才能有21000美元?
保留两位有效小数
假设经t个月能实现
令q=0.75%,则有：
11000*(1+q)^t+100(1+q)^t+100(1+q)^(t-1)+...+100=21000
利用等比数列求和,可解得：
t=45.53
根据实际意义,应取46个月
令q=0.75%,则有：
11000*(1+q)^t+100(1+q)^t+100(1+q)^(t-1)+...+100=21000
利用等比数列求和,可解得：
t=45.53
根据实际意义,应取46个月
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