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.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

sorry i need the points

step-by-step explanation:

biuuyb i\

uygybg bsyvyuenrs

ufir7gyuuf6

y6fy