The value of a particular item can be modeled by
p(t) = p0(a)t
where p is in dollars and t is the number of years since the item was purchased. suppose the value of the item increases 5% each year and the item was purchased for $20.

(a) write a formula for p(t) according to the model.
p(t) =

(b) how fast is the value of the item increasing when t = 25 years? round your answer to two decimal places.

$3.29

Step-by-step explanation:

The value of item increases 5% each year and the item was purchased for $20.00.

A. We have to write a formula for P(t) according to the model:

Where, is the initial price, 'r' is the rate of interest. Here in our case it is compounded annually.  

So the formula is:

B. Now we need to find how fast is the value of item increasing when t=25 years.

Differentiating the function we get the rate of change:

(since )

Putting t=25, we get:

So the value of item is increasing by $3.29  each year.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

she gotta workk that a 2

step-by-step explanation: