Under certain conditions, the number of diseased cetls N(t) at time t increases at a rate N'(t) = A e kt, where A is the rate of increase at time 0 (in cells per day) and k is a constant. a. Suppose A = 40, and at 3 days, the cells are growing at a rate of 200 per day. Find a formula for the number of cells aftert days, given that 300 cells are present at t = 0. b. Use your answer from part a to find the number of cells present after 8 days. a. Find a formula for the number of cells, N(t), after t days. N(t) =| (Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.) b. After 8 days, there are cells present. (Use the answer from part a to find this answer. Round to the nearest whole number as needed.)
Under certain conditions, the number of diseased cetls N(t) at time t increases at a rate N'(t) = A e kt, where A is the rate of increase at time 0 (in cells per day) and k is a constant. a. Suppose A = 40, and at 3 days, the cells are growing at a rate of 200 per day. Find a formula for the number of cells aftert days, given that 300 cells are present at t = 0. b. Use your answer from part a to find the number of cells present after 8 days. a. Find a formula for the number of cells, N(t), after t days. N(t) =| (Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.) b. After 8 days, there are cells present. (Use the answer from part a to find this answer. Round to the nearest whole number as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
Related questions
Topic Video
Question
Can someone please help me solve these both? Thanks! (: Need within 30 min
![Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = A e kt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.
a. Suppose A= 40, and at 3 days, the cells are growing at a rate of 200 per day. Find a formula for the number of cells after t days, given that 300 cells are present at t=0.
b. Use your answer from part a to find the number of cells present after 8 days.
a. Find a formula for the number of cells, N(t), after t days.
N(t) =|
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
b. After 8 days, there are cells present.
(Use the answer from part a to find this answer. Round to the nearest whole number as needed.)
Enter your answer in each of the answer boxes.
MacBook Pro](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5350919d-d81b-4a95-8193-77894c363165%2F186a778c-f2b5-4682-8c52-936cb19a68ac%2Fhbe84yq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = A e kt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.
a. Suppose A= 40, and at 3 days, the cells are growing at a rate of 200 per day. Find a formula for the number of cells after t days, given that 300 cells are present at t=0.
b. Use your answer from part a to find the number of cells present after 8 days.
a. Find a formula for the number of cells, N(t), after t days.
N(t) =|
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
b. After 8 days, there are cells present.
(Use the answer from part a to find this answer. Round to the nearest whole number as needed.)
Enter your answer in each of the answer boxes.
MacBook Pro
![The marginal profit in dollars on Brie cheese sold at à cheese store is given by P'(x) = x(60x + 30x), where x is the amount of cheese sold, in hundreds of pounds. The "profit" is - $20 when no cheese is sold.
a, Find the profit function.
b. Find the profit from selling 400 pounds of Brie cheese.
a. Find the profit function.
P(x)=D
b. Find the profit from selling 400 pounds of Brie cheese.
The profit from selling 400 pounds of Brie cheese is $.
Enter your answer in each of the answer boxes.
MacBook Pro
80
000
O00
DII
DD
esc
E F10
11
F6
F7
F8
F9
F1
F2
F3
F4
F5
@
2$
6.
8.
6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5350919d-d81b-4a95-8193-77894c363165%2F186a778c-f2b5-4682-8c52-936cb19a68ac%2F4pbzd6a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The marginal profit in dollars on Brie cheese sold at à cheese store is given by P'(x) = x(60x + 30x), where x is the amount of cheese sold, in hundreds of pounds. The "profit" is - $20 when no cheese is sold.
a, Find the profit function.
b. Find the profit from selling 400 pounds of Brie cheese.
a. Find the profit function.
P(x)=D
b. Find the profit from selling 400 pounds of Brie cheese.
The profit from selling 400 pounds of Brie cheese is $.
Enter your answer in each of the answer boxes.
MacBook Pro
80
000
O00
DII
DD
esc
E F10
11
F6
F7
F8
F9
F1
F2
F3
F4
F5
@
2$
6.
8.
6.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning