# Math 160: Study Guide - Chapters 3&4

- Identify which type of problem (simple interest, compound interest,
future value annuity, or present value annuity) is applicable. Do not
attempt to answer the question, only identify the type of problem you
would need to answer the question. Ten parts.
- Financial problem. I'm being purposely vague here. It could be any of the simple interest, compound interest, future value, or present value problems.
- Financial problem. Stock investment.
- Financial problem.
- Financial problem.
- Solve the matrix equation for
**X**. Three parts.
- Retirement problem: Find the present value needed to retire, then find
the payment needed under a future value to reach that goal. Find out how much money there is after so many years. Determine what happens if an inheritance is applied. Look at the first part of the chapter 3 project.
- Write the solution to the system of linear equations from the augmented
matrix. Five parts ... including the special cases.
- Multiply the matrices by hand and simplify the result. This will involve variables in the matrix so that you can't just use the calculator.
- Perform the row operations on the matrix. Three parts.
- Incidence Matrix (shipping / airline / network traffic). Look at part 2 of the chapter 4 project.
- Leontief Input-Output Analysis. Write the input-output matrix and find
the output.
- Traffic Flow application problem (map of one-way streets).
- One elementary row operation has been performed to a matrix. Determine what that row operation is. Two parts.

## Notes

- You will need your calculator for the test. The test is designed so that
much of the work is performed on the calculator. If you sit there and do it by hand, you're going to have trouble getting through the test in the given time.
- Show enough work so that I can give partial credit if you're wrong. That
may mean just writing down what you're looking for and what you entered
into the calculator for some problems, but if there's nothing but an
answer, you better make sure it's right.
- Have you act together when you come in to take the test. Know your
material. Go through and work the easiest problems first, not necessarily the order they're given to you on the test.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
Total |

Pts |
10 |
4 |
4 |
8 |
16 |
6 |
28 |
15 |
4 |
6 |
7 |
5 |
8 |
4 |
125 |