ElectricPavlov

Is there areason you posted an EXACT COPY of my original answer?    Kinda no point to THAT!  

Yes....these numbers work.....BUT the question says the 3rd piece is 30 feet shorter then the second NOT 20 feet as you solved

     so the question is incorrect....not possible !

But like you ...If we modify the question somewhat         IF the question says third piece is 30 ft less than the FIRST piece then it would work

55.714 ft     18.5714 ft     and   25.714  ft    WOULD be the three pieces   

f = 3s     and   t = s-30        and the three pieces  sum to 100 ft

3s      +      s     + s-30  = 100

5s = 130

s =  26        then f = 3s = 78      and t = 12         Which tells me this question is incorrect !

It gives you the equation to use for continuous compounding    A = 5000   P = 3500   r = .08 (this is 8% in decimal)  t = what you are looking for

    can you substitute these values into the equation and solve for 't' ??

40 * 23 is the amount for option A       for option B to be equal  ,  x * 4% ,   which is   x * .04   must equal  40 * 23

   solve the equation for the value of 'x'    for your answer    (HINT: divide the equation I gave you  on both sides by .04)

From a6 to a24   is    a6 +  18 times the common difference of the sequence   d  

   ( 189 - - 9 ) / 18 = d = 11

 from a6 to a 10 is 4 more d's

    - 9 + 4 ( 11) = a10 = 35

40(23) = .04 x         x  is the amount of sales for the two options to be =       solve for x = sales

Vertex is   4, 0

vertex form   =   y = a (x-4)^2   + 0      sub in the given point  (6,2)  to calculate 'a'

                          2 = a ( 6-4)^2

                              a = 1/2

your equation is then     y = 1/2 (x-4)^2 + 0

pears = 1/3 x     oranges = 2/3 x

  then give away 8 oranges  (this is   2/3 x - 8)

1/3 x =  3/5 ( 2/3 x - 8)

1/3 x  = 6/15 x - 24/5

1/15 x = 24/5

x = 72  original fruits

187 / 4 = 46 . 75 times       or 46 whole times with 3 remainder