ElectricPavlov

5       0i

4     -2i 

3     -4i

2     -6i

1     -8i

0    - 10 i          the ninth term is pure imaginary

x = amount of 1       y = amount of  2    z= amount of 3         final amount = x+y+z

.13x   +   .05y    +   .29z    =    .1 (x+y+z)       This is for A

.62x    + .77 y    +  .13 z    =  .5 (x+y+z)          this is for B

.25x   +   .18y    + .58 z     = .4 (x+y+z)           this is for C

I think this is correct......I used wolfram alpha and got no answer !     This problem has no solution that I can fathom !

    Hope someone else can find an answer ....or the same conclusion !!! 

a.)  conversion period is  1 year (12 months)   interest is 5% per period

b.)   conversion period is  6 months  or 1/2 year   interest per period    is  4.5 /2 = 2.25 %   (.0225 in decimal form)

            42 months is  42/6 =   7 periods

c.)   conversion period is 1 week   there is 104 periods ( 52 weeks x 2 years)  interest per period is  5.2 /52 = .1%  (this is .001 in decimal)

The exterior angles sum to 360

3 /(3+4+5) * 360 = 90

4/12 *360 =  120

5 / 12 * 360 =150

Interior and exterior angles are supplementary (they add to 180)

so the smallest interior will be     150 + 30 = 180          30 degrees

Need image....

Ouch....I totally missed that Q       see answer below  

(p(1,-1) = 1 - 2(-1) = 3

p(-5,-2) =   -5 - 2(-2) = -1

p (3,-1) =  3 - 2(-1) = 5

(x-1)(x-16)         roots  + 1    +16       k =17

(x-2)(x-8)                                           k = 10

(x-4)(x-4)                                           k = 8                  add 'em up and find the average

18 * d^6 = 162

d= 9^1/6

18 * d³ = a₇

18 * (9^1/6)³  = 18 * 3 = 54

Professors are 6 out of  (6+11=17) of the total

6/17 * 136 = 48 prof_s