Question

The size P of a certain insect population at time t​ (in days) obeys the function...

The size P of a certain insect population at time t​ (in days) obeys the function P(t)=100e^0.07t

(a) Determine the number of insects at t=0 days.

​(b) What is the growth rate of the insect​ population?

​(c) What is the population after 10​ days?

​(d) When will the insect population reach 120?

​(e) When will the insect population​ double?

Math   Algebra   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The size P of a certain insect population at time t​ (in days) obeys the function...
The size P of a certain insect population at time t​ (in days) obeys the function P(t)=600e0.06t. ​(a) Determine the number of insects at t=0 days. ​(b) What is the growth rate of the insect​ population? ​(c) What is the population after 10​ days? ​(d) When will the insect population reach 720? ​(e) When will the insect population​ double?
Exercise 1.3.52: Let P(t) be the population of a certain species of insect at time t,...
Exercise 1.3.52: Let P(t) be the population of a certain species of insect at time t, where t is measured in days. Suppose a population of 30,000 insects grows to 150,000 in 3 days. a) Find the growth constant for this population. b) Write the corresponding initial value problem (DE and IC) and its solution. c) How long will it take for the population to triple?
A population of insects increases at a rate of 240+12t+0.3t^2 insects per day. Find the insect...
A population of insects increases at a rate of 240+12t+0.3t^2 insects per day. Find the insect population after 5 days, assuming that there are 70 insects t=0.
Revisiting Exponential Growth At time t = 0 a population has size 1000. Suppose it grows...
Revisiting Exponential Growth At time t = 0 a population has size 1000. Suppose it grows exponentially, so that at time t (years) it has size S(t) = 1000a t for some a and all t > 0. a) Suppose that it doubles in size every 8 years. What is a? b) After how many years is the population 32 000? c) What is its instantaneous growth rate (individuals per year) at t = 10? d) What is its instantaneous...
Suppose that the certain population obeys the logistics equation dP / dt = 0.025·P ·(1−P /...
Suppose that the certain population obeys the logistics equation dP / dt = 0.025·P ·(1−P / C) where C is the carrying capacity. If the initial population P0 = C/3, find the time t∗ at which the initial population has doubled, i.e., find time t∗ such that P(t∗) = 2P0 = 2C/3.
Under ideal conditions a certain bacteria population is known to double every five hours. Suppose that...
Under ideal conditions a certain bacteria population is known to double every five hours. Suppose that there are initially 200 bacteria. (a) What is the size of the population after 20 hours? bacteria (b) What is the size of the population after t hours? P = (c) Estimate the size of the population after 34 hours. (Round your answer to the nearest integer.) bacteria (d) Graph the population function. (e)Estimate the time for the population to reach 60,000. (Round your...
A species of fish was added to a lake. The population size P (t) of this...
A species of fish was added to a lake. The population size P (t) of this species can be modeled by the following exponential function, where t is the number of years from the time the species was added to the lake.P (t) =1000/(1+9e^0.42t) Find the initial population size of the species and the population size after 9 years. Round your answer to the nearest whole number as necessary. Initial population size is : Population size after 9 years is:
Exponential Model: P(t) = M(1 − e^−kt) where M is maximum population. Logistic Model: P (t)...
Exponential Model: P(t) = M(1 − e^−kt) where M is maximum population. Logistic Model: P (t) = M / 1+Be^−MKt where M is maximum population. Scientists study a fruit fly population in the lab. They estimate that their container can hold a maximum of 500 flies. Seven days after they start their experiment, they count 250 flies. 1. (a) Use the exponential model to find a function P(t) for the number of flies t days after the start of the...
The rate of growth dP/dt of a population of bacteria is proportional to the square root...
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t with a constant coefficient of 7, where P is the population size and t is the time in days (0≤t≤10). The initial size of the population is 600. Approximate the population after 7 days. Round the answer to the nearest integer.
If a bacteria population starts with 125 bacteria and doubles in size every half hour, then...
If a bacteria population starts with 125 bacteria and doubles in size every half hour, then the number of bacteria after t hours is n = f(t) = 125 · 4t. (a) Find the inverse of this function. t =  log4​(t125​)    Explain its meaning. a The inverse function gives the population after half an hour has passed. b The inverse function gives the population after 4 hours have passed.      c The inverse function gives the number of hours that have...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT