Answer:
A) x=2.5
B) x=-3
Step-by-step explanation:
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:

Where,
is the initial value, k is the growth constant and t is the number of years.
Putting
in the above formula, we get



Taking ln on both sides, we get

![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)



Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Answer:

Step-by-step explanation:
Use the formula for the volume of a cylinder:
Volume= B times height
Being "B" the area of the cylinder's base (a circle of radius 4.5 ft.
Therefore the area of the base is:

So the volume of the cylinder is:

90 minutes = 1.5 hour
car will travel 1.5x miles
C = πd
C = 3.14 x 9
C = 25.12