ElectricPavlov

a1 = 1/4      r = 1/4

SUm =     a1/ (1-r) =     1/4   *   4/3    =   1/3  

y = (1) * x^2       a = 1     focus =   (0, 1/4a) = (1 , 1/4 )

Unit circle     do you know how to compute the sides of the triangle for -60 degrees?

   here is a good video ....starting at  7:50 into the video

https://www.youtube.com/watch?v=3GgO7Q_kg8Q

       sin -60 = - sqrt3 /2

Maybe this posting:  ??     I did not check answer....

https://web2.0calc.com/questions/the-quadratic-has-the-following-unexpected-property

Still not sure what this multi-posted question is asking

   n =4 is not included in the definition of the funtion's domain 

       BUT   f(4)   would be 

                                              2⁴ = 16

interest for first 6 months   then moves to second 6 month interest

   10000 (1 + .02)        

    [ 10000 (1 + .02)] (1 + .025) = $..............            note that Doc only gets 1/2 of the annual interest  for each 6 month deposit

FV = PV (1+ i)ⁿ         n is the number of periods    5 yr  x   4 = 20 periods

                                   i = decimal inteest PER PERIOD   = .044/4

                                  PV = present value = loan amount = 11200

                                  FV = futere value

FV = 11200 (  1 + .044/4)²⁰ = $ 13939.31                interest earned =  13939.31 - 11200 =..........

2.)  Same equation with different numbers:

        128500 =  PV (1 +.065/2 )¹⁶       Solve for PV

Missing info.....

1994 to 2000 is 6 years        1.8% is .018 in decimal

3 381 000  *  ( 1+.018)⁶  =.............   people 

\(\sum_{1}^{111} 2n = 12432\)              n = 111