Warning!

The following questions are from previous exams. This is a sampling of questions asked in the past. You can use the questions as a guide for the level of difficulty and number of questions, but do not assume your questions will be "just like" these.

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Math 49


1. Algebraically solve each of the following equations for x.

A.

B.

2. A population grows from 4,000 to 11,000 in 3 years. What is the continuous annual growth rate?

3. Suppose you deposit $1000 into account A which earns 6% annual interest compounded monthly. You also deposit $600 into account B which earns 8% annual interest compounded quarterly. Assume money is never withdrawn from either account.

A. What is the balance in account A after 3 years?

B. How long (in years) does it take the investment in account B to double?

C. Approximately how many years does it take for the balances in the two accounts to become equal?

4. Find the vertex and line of symmetry for , then determine all horizontal
and vertical intercepts of g(x).

 

5. Given the function f(x) below.

Sketch a graph of h(x) = f[(1/2)x]+ 4. Sketch is the operative word here. Do not get too caught up in perfection; just make sure I can see the new coordinates of points A and B, and that you label any asymptotes.

6. List the following values in order from least to greatest.

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