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Unformatted text preview: Math 150 - 003 Test 3 Nov 16, 2001 Name: ............................. 1. Solve for x : ln ( 2 x - 7) +1 = 5 . 2. Solve: 5 x -12.5 y =100 - 2 x +5 y = -40 3. Solve for x : e 2 x -36 =16e x 4. The sum of two numbers is twice their difference. The larger number is 6 more than twice the smaller. Find the two numbers. (do not guess!) 5. You make an investment of $800, and after 6 years it has doubled. The interest is compounded cont nuously. When i will the account reach $4200? (hint: find the interest rate r !) 6. Rewrite in a form with no logarithm of a power, quotient or product: ln y ( x -1) x2 +4
6 7. Find the function of the form f ( x ) = C a x whose graph is given; explain! y (3,500) (0,4) x 8. The perimeter of a rectangle is 70 and its diagonal is 25. Find its length and width. (do not guess!) ...
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- Fall '07