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Review Sheet for College Algebra Final 1. Find the sum of the first 5 terms of the geometric series. 44 12 4 + + . 39 2. Find the product, if...

1)log x+log(3x-13)=1
2)In 1998, a dvd player sold for about $450.00. In 2005, the average price was $50.00. What is the rate of change in the price per year.

Review Sheet for College Algebra Final 1. Find the sum of the first 5 terms of the geometric series. 4 4 12 4 ... 3 9 - + - + 2. Find the product, if possible. 3 6 1 7 8 1 5 4 9 5 2 7 - - 3. A contractor has 150 feet of fencing with which to fence a rectangular parking lot. If the lot is x feet long, express the area of the parking lot as a function of the length. 4. Solve the equation: ( 29 log log 3 13 1 x x + - = 5. Find the zeros of the polynomial function and state the multiplicity of each. ( 29 3 2 2 9 18 f x x x x = - - + 6. In 1998, a DVD player sold for about $450.00. In 2005, the average price was $50.00. What is the average rate of change in price per year? 7. An astronaut on the moon throws a baseball upward. The astronaut is 6 feet, 6 inches, tall and the velocity of the ball is 30 feet per second. The height of the ball is approximated by the function defined by ( 29 2 2.7 30 6.5, s t t t = - + + where t is the number of seconds after the ball was thrown. How many seconds will it take for the ball to return to the surface? 8. Graph 2 3 4. y x x = - - Make sure you label the int . x and y ercepts 9. Find the domain of the function. ( 29 3 9 f x x = + 10. Solve the equation. If necessary, round to the nearest thousandths. ( 29 6 6 6 log 4 log 3 log 12 x x - - = 11. Find the future value of $8906.54 at 5% compounded semiannually for 9 years. Use: 1 nt r A P n = + ÷
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12. How long will it take for $5000 to grow to $8400 at an interest rate of 6% if interest is compounded continuously? Round to the nearest tenth. Use: ( 29 kt P t Pe = o 13. Solve for the indicated variable. ( 29 1 2 A B b h solve for B = + 14. Use the graphing calculator to graph the piecewise defined function. ( 29 1 2, 0, 3 5, 0 x for x f x x for x - + = - 15. Given: ( 29 ( 29 2 4 2 8, 5 f x x x g x x = + + = + Find: ( 29 ( 29 g f x o 16. Find the vertex of the parabola given ( 29 ( 29 2 2 3 2 f x x = - + + 17. Factor ( 29 P x into linear factors given that k is a zero of . P ( 29 3 2 2 3 17 30; 2 P x x x x k = - - + = 18. Find the logarithm using the common logarithms and the change-of-base formula. Round to the nearest thousandths. 5 log 8 19. Evaluate the determinant: 2 4 x x x 20. Graph the solution set of the given system of inequalities. 2 2 6 y x y x ≤ - - 21. Find the first six terms of the sequence. 1 1 2, 3, 1 n n a a a for n + = - = + 22. Evaluate the series: ( 29 3 1 4 i i = + 2
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