gamt数学On a certain day,Ed invested $5,000 at 10% annual inte
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gamt数学
On a certain day,Ed invested $5,000 at 10% annual interest,compounded annually,and took out a loan of $2,000 at 50% annual interest,compounded annually.Exactlly three years later,he withdrew his investment,including all accrued interest,and also paid off his loan and all the interest on it.How much more interest did Ed have to pay on his loan than he had earned on his investment
On a certain day,Ed invested $5,000 at 10% annual interest,compounded annually,and took out a loan of $2,000 at 50% annual interest,compounded annually.Exactlly three years later,he withdrew his investment,including all accrued interest,and also paid off his loan and all the interest on it.How much more interest did Ed have to pay on his loan than he had earned on his investment
某天Ed投资了5000刀,收益为年利率10%,每年记复利.他还借贷2000刀,年利息为50%,逐年记复利.恰好三年后他取出投资并偿还了贷款及所有利息.他所付的贷款利息比得到的投资利润多多少?
三年后:
投资 5000 * 1.1^3 = 6655,利息 6655 - 5000 = 1655
贷款 2000 * 1.5^3 = 6750,利息 6750 - 2000 = 4750
答案:4750 - 1655 = 3095
(按年计算:
一年后:
投资 5000* 1.1 = 5500
贷款 2000* 1.5 = 3000
二年后:
投资 5500 * 1.1 = 6050
贷款 3000 * 1.5 = 4500
三年后:
投资 6050 * 1.1 = 6655
贷款 4500 * 1.5 = 6750)
借款利息好高啊,他傻么?
三年后:
投资 5000 * 1.1^3 = 6655,利息 6655 - 5000 = 1655
贷款 2000 * 1.5^3 = 6750,利息 6750 - 2000 = 4750
答案:4750 - 1655 = 3095
(按年计算:
一年后:
投资 5000* 1.1 = 5500
贷款 2000* 1.5 = 3000
二年后:
投资 5500 * 1.1 = 6050
贷款 3000 * 1.5 = 4500
三年后:
投资 6050 * 1.1 = 6655
贷款 4500 * 1.5 = 6750)
借款利息好高啊,他傻么?
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