159E3-S2009

# 159E3-S2009 - MA 15900 EXAM 3 SPRING 2009 1 Suppose an...

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MA 15900 EXAM 3 SPRING 2009 1 1. Suppose an amount of money is deposited in a savings account that has an interest rate of 4.3% per year and the interest is compounded quarterly. How much money should be deposited now so that after 24 years there will be \$100,000 in the account? Give your answer to the nearest cent. 1) \$280,667.36 2) \$280,150.12 3) \$279,125.82 4) \$129,255.79 5) \$77,365.98 6) \$35,826.14 7) \$35,695.15 8) \$35,629.37 9) None of the above 2. Consider f ( x ) = log 4 ( x + 10) . Approximate the y -intercept to 4 decimal places. 1) (0,0.6021) 2) (0,1.0000) 3) (0,1.3390) 4) (0,1.3863) 5) (0,1.500) 6) (0,1.6137) 7) (0,1.6610) 8) (0,2.0000) 9) (0,2.3026) 3. Given f ( x ) = 2 x + 3 and g ( x ) = x 2 3 x + 5 , find ( g f )( x ) . 1) 4 x 2 + 6 x + 23 2) 4 x 2 + 6 x + 5 3) 4 x 2 6 x + 5 4) 4 x 2 + 5 5) 2 x 3 3 x 2 + x + 15 6) 2 x 2 6 x + 13 7) 2 x 2 3 x + 8 8) 2 x 2 6 x + 10 9) None of the above

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MA 15900 EXAM 3 SPRING 2009 2 4. An angle, θ , is in standard position and its terminal side lies in quadrant III on the line y = 7 2 x . Find the exact value of the trigonometric function cos . 1) 7 53 53 2) 7 53 53 3) 53 7 4) 53 7 5) 2 53 53 6) 2 53 53 7) 53 2 8) 53 2 9) None of the above 5. Which of the following are true of the function f ( x ) = x 4 + 3 x 3 4 x 2 ? I. f has an x -intercept at ( – 4,0). II. f ( x ) > 0 : ( −∞ , 4) (1, ) . III. The range of f is ( , ) . 1) I 2) II 3) III 4) I and II 5) I and III 6) II and III 7) I, II, and III 8) Cannot be determined 9) None of the above
MA 15900 EXAM 3 SPRING 2009 3 6. Find an equation of a rational function, f , that satisfies the given conditions.

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159E3-S2009 - MA 15900 EXAM 3 SPRING 2009 1 Suppose an...

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