Math 208 Midterm sample

Math 208 Midterm sample - y =-4 x 2 12 x-12(C Does the line...

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Sample of a midterm test; Course 208 C Instructor V.Enolski, October 2008 Each problem worth 25 grades. 1. Assume that supply S and demand D are linear are linear price p (in dollars) At $0.60 per bushel, the daily supply for wheat is 450 bushel, and the daily demand is 570. When the price p is raised by 0 . 75 per bushel, the daily supply increases to 600 bushel, and the daily demand decreases to 495 bushels. (A) Find the supply S = S ( p ) as a linear function of price p . (B) Find the demand D = D ( p ) as a linear function of price p . (C) Find the equilibrium price p , i.e. S ( p ) = D ( p ) 2. Solve for x the following equations ( A ) e 287 x - 721 = e 152 x - 2071 ( B ) (0 . 5) - 3 x 2 +15 x - 72 = (0 . 5) - x 2 +35 x - 22 ( C ) log 3 x 5 · + log 3 725 + 2 log 3 5 = 1 3 log 3 3 7 + 5 log 3 1 ( D ) log 11 ( x + 7) - log 11 ( x + 10) = log 11 0 . 5 ( E ) log x 1000 = ln 1000 ln 25 3. Given y = - 4 x 2 + 12 x - 12, (A) Find the x - and y -intercepts and the vertex.
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Unformatted text preview: y =-4 x 2 + 12 x-12 (C) Does the line y = x-1 intersect y =-4 x 2 + 12 x-12? 4. The island in the British Virgin Island costs $25,000,000 for which you make a $3,000,000 down payment, and you mortgage the remaining amount. Your favorite bank offers you 6.6% interest compounded bi-monthly for 12 years. (A) What is bi-monthly payment? (B) How much interest the bank making? (C) What is your remaining balance after 10 years? (D) If you decided to pay off the remaining balance after 10 years, how much are you saving? (E) If you off the remaining balance after 8 years, how much are you saving over paying off the remaining balance after 10 years (as in (D))? 1...
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