5.2.19 Challenge A company's stock began the day at $25.75 per share. That price drops by $1.08 each hour. What is the price per share after 4 hours? What would it be after 20 hours if this rate continues? Use pencil and paper. Explain what the signs of the answers mean in this context.
The price per share after hours is
nothing dollars.

The price per share after 4 hours is $21.43

The price per share after 20 hours is $4.15

Step-by-step explanation:

Equations

The price of the company's stock is initially at $25.75 per share. Each hour the price drops by $1.08. This condition can be modeled by the function:

Where t is the time in hours.

The sign means the function is decreasing as time passes.

When t=4 hours, the price will be:

The price per share after 4 hours is $21.43

Now find the price when t=20 hours

The price per share after 20 hours is $4.15

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}

a) 0

step-by-step explanation:

i^413 x i^0 = 0 as any number multiplied by a zero is

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