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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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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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
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.
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.
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