1 1. To the nearest year, how long would an investment need to be left in the bank at 5%, compounded annually, for the investment to triple? A) 15 years B) 23 years C) 26 years D) 28 years Use the following information to answer the next question. The equation that defines the decibel level for any sound is dB = 10log where I = intensity of sound being measured I. = intensity of sound at the threshold of hearing 12. The sound of a page being turned is 10 000 times as intense as Io. The loudness of a page being turned is: A) 4 dB B) 5 dB C) 14 dB D) 40 dB 13. The magnitude of an earthquake that is 100 times as intense as an earthquake of magnitude 5.5 on the Richter scale is: (Hint: Intensity is ten fold) A) 550 B) 11 C) 7.5 D) 5.7 4Use the following information to answer the next question. Four logarithms are shown below. 1_. log4 62 2. log6 36 ,3. log310 4. log5 20 Write the logarithm with the greatest value in the rst box. Write the logarithm with the second greatest value in the second box. Write the logarithm with the third greatest value in the third box. Write the logarithm with the fourth greatest value in the fourth box. (Place your answer in the boxes 'om left to right) 14. If 210g" x =16, then x is equal to: A) n3 B) ,n' 16. A laboratory received a shipment of 1000 g of a radioactive compound. Only 31.25 g of the compound remained after 10 days. The half - life equation is I New Where A represents the amount of the substance remaining, Ao represents the initial amount of the substance, 1' represents the time, and h represents the time at which only half of the substance remains. The half - life of the compound is A) 1/2 day B) 1 day C) 2 days D) 4 days 1 17. A bacteria colony initially has 1500 cells and doubles every week: Whi 7 used to model the population, P, of the colony after t days? (1 mark ' ' ;,A)1>=1500(1/2)t , (in ' _'500'(2)'\18. In 1935 the California seismologist Charles Richter devised a logarithmic scale that bears his name and is still widely used in the United States. The magnitude M on the Richter scale* is given as follows: (E\\ 2 M=lgLFoJ where E is the energy released by the earthquake, measured in joules, and E0 is the energy released by a very small reference earthquake, which has been standardized to be E0 =104'40 joules . The 1906 San Francisco earthquake released approximately 5.96 x1016 joules of energy. What was its magnitude on the Richter scale? Compute the answer to two decimal places. A) -0.15 B) 2.41 C) 8.25 D) 12.38