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urgent math. problem! !

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can anyone helps to solve this problem, plz? It's really urgent!! I'll really appreciate it!! =] Here's the problem,The following table shows the value of U.S. trade with China in 1994, 1999, and 2004 (t = 0 represents 1994).Year t 0 5 10 China Trade ($... 顯示更多 can anyone helps to solve this problem, plz? It's really urgent!! I'll really appreciate it!! =] Here's the problem, The following table shows the value of U.S. trade with China in 1994, 1999, and 2004 (t = 0 represents 1994). Year t 0 5 10 China Trade ($ Billion) 50 101 275 a.)Find a quadratic model for these data. (Give the coefficients to one decimal place.) C(t) = ( )t(square) + ( )t + 50 b.)Use your model to estimate the value of U.S. trade with China in 2000. (Give the answer to two decimal places.) $( )billion

最佳解答:

Year t 0 5 10 China Trade ($ Billion) 50 101 275 a.)Find a quadratic model for these data. (Give the coefficients to one decimal place.) C(t) = ( )t(square) + ( )t + 50 50=a*(0)^2+b*0+50 101=a*(5)^2+b*(5)+50=>25a+5b-51=0 275=a*(10)^2+b*(10)+50=>100a+10b-225=0 a=123/50, b=-21/10 so C(t)=(123/50)t^2+(-21/10)t+50 C(2000-1994)=C(6)=(123/50)*(6^2)+(-12/10)*(6)+50=125.96 If any questions, please don’t fear to ask! 2009-01-14 15:08:05 補充: Sorry! a=123/50=2.46≒2.5(one decimal ppace.) b=-2.1 So C(t)=2.5(t^2)-2.1t+50 C(6)=127.40

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