Question
Asked Apr 8, 2019
17 views
The number of bacteria in a culture is increasing according to the law of exponential growth. After 3 hours, there are 200 bacteria, and after 6 hours, there are 1600 bacteria. How many bacteria will
there be after 7 hours?
help_outline

Image Transcriptionclose

The number of bacteria in a culture is increasing according to the law of exponential growth. After 3 hours, there are 200 bacteria, and after 6 hours, there are 1600 bacteria. How many bacteria will there be after 7 hours?

fullscreen
check_circle

Expert Answer

Step 1

Let B(t) is the number of bacteria after time t, and B0 is the number of bacteria at time t is 0.

The exponential formula for law of growth is,

fullscreen
Step 2

Given that, after 3 hours, there are 200 bacteria and after 6 hours there are 1600 bacteria.

That is,

fullscreen
Step 3

Solve the above two equations and obtain th...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The function is defined as 

question_answer

Q: Calculus Question

A: Let's call the given integral as I. Further let's make the substitution: x2 + 1 = zHence, 2xdx = dzP...

question_answer

Q: One of parts (a) and (b) can be integrated with the Power Rule and the other cannot. Integrate with ...

A: (a) can be integrated using power rule. (b) can not be integrated using power rule because (b) has t...

question_answer

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...

A: The given differential equation is, y′=5ex −6x3 +4x. 

question_answer

Q: If y (x25x-1)e2x then y (3x2-10x+7)e2x O (2.7x+4)e2x O(22+ 12x + 3)e2x (2x+5)32x (2x 52-1

A: Given, 

question_answer

Q: c. Find the area of the reqion bounded by y xe-a and the x-axis on the interval 0,bl. Because this a...

A: Given curve is The area of the region bound by the curve and x-axis on the interval [0,b] is given b...

question_answer

Q: You are given the four points in the plane A=(8,−8), B=(10,4), C=(12,−1), and D=(16,1). The graph of...

A: We have given the four point in the plane A, B, C and D.The total integral is to be the sum of the a...

question_answer

Q: a), b) and c) please. I also forgot how to write interval notation....

A: To find the direction we have to graph the function v(t)= 3t^2-36t+105 ; [0,8]. And then we check th...

question_answer

Q: Fourier's Law of heat transfer​ (or heat​ conduction) states that the heat flow vector F at a point ...

A: Given that,