5.

a. 4-7i

b. 7/5 + 6/5i

c. 4

d. 4/5 + 3/5i

e. 4/5 - 3/5i

f. (ac+bd)/(a²+b²) + (ac-bd)/(a²+b²)i

6.

a. -9 + 38i

b. -9 - 38i

c. 37 + 50i

d. 37 - 50i

e. 1 + 76i

f. 1 - 76i

17.

a. 5 + 2i

b. 5 + 2i

c. 1 - 2i

d. -1 + 2i

e. 13

f. 6

18.

a. 5 + 5i

b. 5 + 5i

c. 26

d. 3 + 4i

e. 5 + 12i

f. 15 + 8i

19.

a. 1 + i

b. 2 + 2i

See Attachment!

Page 1: Monthly payment problems

1. f(x) = 8000                                        if x=0

             f(x-1) + f(x-1) * .04/12 - 500     if x>0

No, you still owe $5618 after 5 months

Note: These solutions only contain the second half of each recursive definition to save me a bit of formatting trouble.  Remember that your solutions need to include the top row as well (what is f(x) when x=1) as well as the next 3 terms in the pattern!

1. f(x)= f(x-1) - 3

2. f(x)= f(x-1) *2

3. f(x)= f(x-1) + (x+1)

4. f(x)= f(x-1) +3

5. f(x)= f(x-1) / 10

6. f(x)= f(x-1) /2

7. f(x)= f(x-1) *-2

8. f(x)= f(x-1) *x

1. large beads=$1.25, small beads=$0.25

2. large beads=$1.95. small beads=$0.55

3. 1500 children attended and 700 adults attended

4. erasers=$0.03, pencils=$0.04

5. almonds=$2, pecans=$4, pistachios=$6

6. each person must eat 7.75 portions of banana, 1.75 portions of coconut and 2.95 portions of avocado

7. y=-0.5x² -1.5x +7

Here are the soln. for the study guide. Call if you have questions.

Matrix Worksheet:

Note: these answers are in decimal form.  If you chose to multiply out the fractions and keep them as fractions, good for you!  

1-3: when you multiply the two matrices together you should get the identity matrix: 1  0

Worksheet (I left out the brackets around my solutions, but your solutions need to have brackets around the matrices!!

1.

a. 952                    760

   720                     832

   1108                   1252

Pg. 285

12. a. 0=0 infinite solutions

     b. 0=1 no solutions

13. x=2, y=1, z=-1

14. x=3, y=-2, z=1

16. x=2, y=-1, z=6

17. x=6, y=-3, z=-1

19. x=2, y=-2, z=3