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Chapter 5 Practice Test Short Answer 1. Solve . Round to the nearest ten-thousandth. 2. 3. Solve . Round to the nearest ten-thousandth. Evaluate the logarithm. 4. 5. Write the equation 6. Solve in exponential form. . Round to the nearest thousandth. 7. Solve . 8. The amount of money in an account with continuously compounded interest is given by the formula , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 6.2%. Round to the nearest tenth. 9. Solve . Round to the nearest hundredth if necessary. Graph the exponential function. 10. 11. A construction explosion has an intensity I of and W/m2. Find the loudness of the sound in decibels if W/m2. Round to the nearest tenth. 12. Use the properties of logarithms to evaluate . 13. The sales of lawn mowers t years after a particular model is introduced is given by the function y = , where y is the number of mowers sold. How many mowers will be sold 2 years after a model is introduced? Round the answer to the nearest whole number. Write the expression as a single logarithm. 14. Expand the logarithmic expression. 15. 16. Solve . Write the equation in logarithmic form. 17. 18. Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years? Write the expression as a single natural logarithm. 19. Use natural logarithms to solve the equation. Round to the nearest thousandth. 20. Chapter 5 Practice Test Answer Section SHORT ANSWER 1. 2. 3. 4. 0.0090 12 0.6616 –4 5. 6. 1,490.979 495 7. 2 8. 11.2 yr 9. 0.04 10. y 20 16 12 8 4 –6 –4 –2 2 –4 11. 12. 13. 14. 15. 106.9 decibels 4 17,001 mowers none of these 16. 17. 18. $1,923.23 19. 20. –0.046 4 6 x