159E3-S2011

# 159E3-S2011 - MA 15900 EXAM 3 SPRING 2011 1 Suppose an...

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MA 15900 EXAM 3 SPRING 2011 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. A monument was constructed using solid stone blocks weighing over 100,000 pounds each. Lifting a single stone required 500 people, who pulled the stone up a ramp inclined at an angle of 10 ° . Approximate to the nearest tenth of a foot the distance that a stone was moved along the ramp in order to raise it to a height of 50 feet. 1) 500.0 feet 2) 287.9 feet 3) 283.6 feet 4) 206.2 feet 5) 203.1 feet 6) 70.7 feet 7) 59.2 feet 8) 50.8 feet 9) None of the above

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MA 15900 EXAM 3 SPRING 2011 2 4. The angle θ is in standard position. Using the information given below, find the exact value of the sin θ 2 ( ) . sin θ = 3 5 ; 270 ° < θ < 360 ° 1) 1 4 5 2 2) 1 4 5 2 3) 1 + 4 5 2 4) 1 + 4 5 2 5) 1 3 5 2 6) 1 3 5 2 7) 1 + 3 5 2 8) 1 + 3 5 2 9) None of the above 5. Given f ( x ) = x 3 8 , find f 1 ( x ) . 1) f 1 ( x ) = x 8 3 2) f 1 ( x ) = x 8 3 3) f 1 ( x ) = x 3 8 4) f 1 ( x ) = x 3 8 5) f 1 ( x ) = x + 8 3 6) f 1 ( x ) = x + 8 3 7) f 1 ( x ) = x 3 + 8 8) f 1 ( x ) = x 3 + 8 9) None of the above