You decide to begin selling glow sticks at the local fairground. your cost for each glow stick is $0.91 plus you have to pay a fixed weekly fee of $150 for the booth. your plan is to sell each glow stick for $2.63. write a function, c ( n ) c(n) , to represent your total costs for the week if you sell n n glow sticks. c ( n ) = c(n)= preview write a function, r ( n ) r(n) , to represent the revenue from the sale of n n glow sticks during the week. r ( n ) = r(n)= preview write a function, p ( n ) p(n) , that represents the profits for selling n n glow sticks in a given week. p ( n ) = p(n)= preview how many items must you sell to break even? glow sticks

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

19

step-by-step explanation:

b.-4 units

all you   do is count how many times you move