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標題:

• 軍曹基地R@1@
• where is a pair of
• - a^(a+1) - (a+1)^a - =1

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a big maths problem
發問:

I would like to have steps to let me know how to do ,thx~~ 1. If a:b=1:2 and b:c=3:1, find (a) c:a , (b) c^2: a^2. 2.Find , correct to 1 decimal place, the compound interest and amount if $20000 is deposited for 2 years at 12%p.a., compounded quarterly.

最佳解答:

1. If a : b = 1 : 2 and b : c = 3 : 1, find (a) c : a , a : b = 1 : 2 a / b = 1 / 2 2a = b a = b / 2 b : c = 3 : 1 b / c = 3 / 1 b = 3c c = b / 3 c : a = ( b / 3 ) : ( b / 2 ) = ( 1 / 3 ) : ( 1 / 2 ) = ( 6 / 3 ) : ( 6 / 2 ) = 2 : 3 (b) c^2 : a^2. c2 / a2 = ( c / a )2 = ( 2 / 3 )2 = 4 / 9 c2 : a2 = 4 : 9 2. Find , correct to 1 decimal place, the compound interest and amount if $20000 is deposited for 2 years at 12%p.a., compounded quarterly. The total amount is : $20000 ( 1 + 12% / 4 )2x4 = $20000 x 1.038 = $25335.4 The compounded interest is : $25335.4 – $20000 = $5335.4 2009-08-10 19:50:48 補充： 1. (a) Method 2 : a : b = 1 : 2 b : c =3 : 1 a : b = 1x3 : 2x3 b : c =3x2 : 1x2 a : b = 3 : 6 b : c =6 : 2 a : b : c = 3 : 6 : 2 a : c = 3 : 2 c : a = 2 : 3 2009-08-10 19:51:01 補充： 1. (a) Method 2 : a : b = 1 : 2 b : c =3 : 1 a : b = 1x3 : 2x3 b : c =3x2 : 1x2 a : b = 3 : 6 b : c =6 : 2 a : b : c = 3 : 6 : 2 a : c = 3 : 2 c : a = 2 : 3

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