Deriving Equations

1. Set up the equation for solving for the intersection between the line joining (0, 0) and (1, 4) and the line x + y = 1.

2. Set up the equation for solving for the zeros of the function f(x) = 2x^{3} + 4x^{2} – 17x – 3.

3. Set up the equation for solving for the time it takes to drive 432 kilometers at a speed of 65 kilometers per hour.

4. An isosceles triangle has two angles that are the same: 15 degrees. Set up the equation for solving for the other angle of the triangle.

5. Set up the equation for solving for the principal amount of a loan, if the amount of interest owed in one year is $700 and the interest rate is 5% per year.