MAC 1105

1. MAC 1105 Test 4 Review and Practice Solutions

2. MAC 1105 Test 4 Review • You will need to have your own graphing calculator for the test. • You may not share calculators or use any type of communication device in place of a calculator. • Tests cannot be made up for any reason other than an NWFSC event for which you must miss class. • If you miss one test, your final exam score will be substituted. A second missed test is a zero.

3. Exam Topics

4. 1) Determine if each of the following functions is an exponential function. no yes no yes

5. 2) If , find and . Please round to the nearest thousandth, if necessary.

6. 3) Solve the equation for x by first rewriting both sides as powers of the same base.

7. 4) You deposit $30,000 in an account that pays 2.5% compounded quarterly for 10 years. How much money will you have in ten years? Find the interest.

8. 5) Suppose an amount of money is invested at 7.5%, compounded continuously. If the balance after 8 years is $15488.01, how much money was initially invested?

9. 6) Evaluate each logarithm.

10. 6b)

11. 6c)

12. 7) Find the domain of the function

13. 8) Evaluate each logarithm. d)

14. 9) Solve the equation by first rewriting it in exponential form.

15. 10) Write the expression in expanded form:

16. 11) Write the expression in condensed form:

17. 12) Find the value of the expression:

18. 13) Solve. Please round your answer to the nearest thousandth.

19. 14) Solve.

20. 15) Suppose Josh invests $300 at 6% compounded monthly. In how many years will Josh double his money to $600? Please round your answer to the nearest hundredth. 11.58

21. Test 4 Extra Practice

22. 1) Determine if each of the following functions is an exponential function.

23. 1) Determine if each of the following functions is an exponential function. yes no no yes

24. 2) If , find and . Please round to the nearest thousandth, if necessary.

25. 2) If , find and . Please round to the nearest thousandth, if necessary.

26. 3) Solve the equation for x by first rewriting both sides as powers of the same base.

27. 3) Solve the equation for x by first rewriting both sides as powers of the same base.

28. 4) You deposit $10,000 in an account that pays 4.5% compounded monthly for 10 years. How much money will you have in ten years? Find the interest.

29. 4) You deposit $10,000 in an account that pays 4.5% compounded monthly for 10 years. How much money will you have in ten years? Find the interest. 15669.93

30. 5) Suppose an amount of money is invested at 5%, compounded continuously. If the balance after 10 years is $14220.22, how much money was initially invested?

31. 5) Suppose an amount of money is invested at 5%, compounded continuously. If the balance after 10 years is $14220.22, how much money was initially invested?

32. 6) Evaluate each logarithm. a) b) c)

33. 6) Evaluate each logarithm. a) b) c)

34. 7) Find the domain of the function

35. 7) Find the domain of the function

36. 8) Evaluate each logarithm. d)

37. 8) Evaluate each logarithm. d)

38. 9) Solve the equation by first rewriting it in exponential form.

39. 9) Solve the equation by first rewriting it in exponential form.

40. 10) Write the expression in expanded form:

41. 10) Write the expression in expanded form:

42. 11) Write the expression in condensed form.

43. 11) Write the expression in condensed form.

44. 12) Find the value of the expression:

45. 12) Find the value of the expression:

46. 13) Solve. Please round your answer to the nearest thousandth.

47. 13) Solve. Please round your answer to the nearest thousandth.

48. 14) Solve.

49. 14) Solve.

50. 15) How long does it take for an investment to double if it is invested at 2% compounded continuously?