Exam 4A - Math 135 - Applied Algebra and Trigonometry (WWW)
Name _________________________
Campus _______________________
Mrs. Donna Tupper

Answer all questions and show all work to be graded. Where applicable, NO credit will be given for answer only responses. Make sure the testing center gives you a copy of the formula sheet.

1. For f(x) = 5^x, determine f(5), f(0), f(3), f(-1) and f(-3). Then graph the function.

2.  Suppose you invest $1500 in an account with an annual interest rate of 4.75%, compounded continuously. You do not make any withdrawals during this period, so the interest will itself earn interest. How much money will be in the account after 2 years?

3.  Strontium-90 decays at the rate of 3.05% per year. If a nuclear power plant has 250kg of Strontium-90, how much will be remaining in 50.0 year?

4.  Convert to exponential form (there are more than one of these on the test) log ₂ 512 = 9.

5.  Convert to logarithmic form (there are more than one of these too) 8² = 64

6.  For log _b 729= 6, find the value of b.

7.  Represent log 26.1 = 1.4166 in exponential form.

8.  Solve 3.5e^x = 10. Round X to 3 decimal places.

9.  Contract the following logarithm. 3 log x + log y - 4 log z

10.  Expand the following logarithm. log _b sqrt(xy/z²).   

11.  Solve for x: 2^x = 256

12.  Mrs. Tupper bought a hot caramel latte. Afterwards, she decided she wanted an iced caramel latte instead. The latte has a cooling rate of 2.1% per minute. If she places her hot latte, which is 100.0^oC in a freezer which is 0.0^oC for 90.0 minutes, what will be the new temperature of her latte?