Answer:

Step-by-step explanation:
Given the differential model
![\dfrac{dP}{dt}=k[M-P(t)]](https://tex.z-dn.net/?f=%5Cdfrac%7BdP%7D%7Bdt%7D%3Dk%5BM-P%28t%29%5D)
We are required to solve the equation for P(t).


D. The distance from Cynthia to pole 3 us equal to the distance from Cynthia to pole 1.
pole one and three are like the same distance apart from Cynthia.
Answer:
<h2>V = 5 cm³</h2>
Step-by-step explanation:
The formula of a volume of a pyramid:

<em>B</em><em> - base area</em>
<em>H</em><em> - height</em>
<em />
In the base we have a square withe side <em>s = 2cm</em>
The formula of an area of a square with side <em>s</em>:

Substitute:

The height <em>H = 3.75 cm</em>.
Calculate the volume:

Answer:
t = 13.1576 years
Step-by-step explanation:
The situation can be modeled as
P = Po.(1-r)^t
Where
t is the years transcurred
Po is the initial amount
r is the rate of change
Po = 40000
r = 10% equivalent to 0.1
Now
A quarter of the original amount
(1/4)*Po = Po.(1-r)^t
(1/4) = (0.9)^t
t = 13.1576
Please, see attached picture