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DIS REVIEWさん、はじめまして。
> 1. A corporation with 5,000,000 shares of publicly listed stock reported total earnings of $7.20 per share for the first 9 months of operation. During the final quarter the number of publicly listed shares was increased to 10,000,000 shares, and forth quarter earnings were reported at $1.25 per share. What are the average annual earnings per share based on the number of shares at the end of the year?
>
> (a)$1.83 (b)$2.43 (c)$4.85 (d)$8.45 (e)$9.7
これはわかりません。私は
(5000000x7.2+10000000x1.25)/10000000でcかと思いましたが・・・
なんか加重平均的なことをやるんでしょうかね。どなたかサポートお願いします。
> 2.q=3√3, r=1+2√3, s=3+√3
> If q,r,and s are the numbers shown above, which of the following shows their order from greatest to least?
>
> (a)qrs (b)qsr (c)rqs (d)sqr (e)srq
厳密に言えば、たとえば
r-s=(1+2√3)-(3+√3)=-2+√3
ここで、2>√3だから（両辺二乗すれば明確ですよね）
r-s<0
したがって、s>rですが、
いちいちこんな計算するより√3=1.73で一発ですね。
√2,√3,√5は知っておいて損はないと思います。
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