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標題:
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Mr.Tang deposited $10000 in a bank at the beginning of 2012 and $9000 at the beginning of 2013. The interest was compounded yearly at r% p.a. , and total amount he received at the beginning of 2014 was $22000. Find r.
最佳解答:
10000(1+r%)2＋9000(1+r%)＝22000 ==> 10(1+r%)2＋9(1+r%)－22＝0==> [10(1+r%)－11][(1+r%)＋2]＝0==> 1+r%＝1.1 or -2 (rej)==> r%＝0.1==> r＝10
其他解答:
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發問:Mr.Tang deposited $10000 in a bank at the beginning of 2012 and $9000 at the beginning of 2013. The interest was compounded yearly at r% p.a. , and total amount he received at the beginning of 2014 was $22000. Find r.
最佳解答:
10000(1+r%)2＋9000(1+r%)＝22000 ==> 10(1+r%)2＋9(1+r%)－22＝0==> [10(1+r%)－11][(1+r%)＋2]＝0==> 1+r%＝1.1 or -2 (rej)==> r%＝0.1==> r＝10
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