Model exponential growth Question The population of a bee hive is growing with a monthly percentage...

Question

Question

Answer 1

✔ Recommended Answer

Answer #1

Answer :

Since the population is compounded continuously

p = p₀ e^xt

t = time in years

x = annual percentage rate

let 'r' be the monthly percentage rate

So, x = 12 r

p = p

p = P_{0 .}e^12rt

Given that population doubles in 3 months

t = 3/12 = 1/4 years

2p₀ = P_{0 .} e^{12 r
(1/4)}

2 = e^3r

ln 2 = 3r . ln^e

r = 1/3 . ln⁽²⁾

Please Up-vote Thank You!!!

Add a comment

Answer 2

Similar Homework Help Questions

Suppose that the number of bacteria in a certain population increases according to an exponential growth model

Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600 bacteria selected from this population reached the size of 2873 bacteria in two and a half hours. Find the continuous growth rate per hour. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
(1 point) A population doubles every 17 years. Assuming exponential growth find the following: (a) The...

(1 point) A population doubles every 17 years. Assuming exponential growth find the following: (a) The annual growth rate is * %. help (numbers) (b) The continuous growth rate is ! % per year. help (numbers)
A population of beetles are growing according to a linear growth model. The initial population (week...

A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=6 , and the population after 9 weeks is P 9 = 60 . Find an explicit formula for the beetle population after n weeks. Pn= After how many weeks will the beetle population reach 180?

Question 19 In 2000 the population of a small village was 2,400. With an annual growth...

Question 19 In 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously, what will the population be in 2020 according to the exponential growth function? Round your answer to the nearest whole number, and do not include the units in your answer. Provide your answer below: P FEEDBACK
Show your work Question 2. Exponential population growth model: Nt = N0 * erm*t where: Nt...

Show your work Question 2. Exponential population growth model: Nt = N0 * erm*t where: Nt = population size at time t N0 = starting population size e = 2.7183 (Euler’s number) rm = estimated rate of increase Use the above exponential growth model to solve the following for a (not so) get rich quick scheme to breed worms in your apartment and sell them as fishing bait. You start your project with only five individuals. 2a. If your estimated...
A population of beetles are frowing according to a linear growth model. A population of beetles...

A population of beetles are frowing according to a linear growth model. A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po = 3, and the population after 6 weeks is P = 27. Find an explicit formula for the beetle population after 12 weeks. Pn= After how many weeks will the beetle population reach 79? weeks Question Help: D Video Video Submit Question

A population of beetles are growing according to a linear growth model. The initial population (week...

A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po = 9, and the population after 8 weeks is Pg = 41. Find an explicit formula for the beetle population after n weeks. P = After how many weeks will the beetle population reach 121? weeks Submit Question A population of 60 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 300 deer....
Suppose that the number of bacteria in a certain population increases according to a continuous exponential...

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2000 bacteria selected from this population reached the size of 2181 bacteria in two hours. Find the hourly growth rate parameter. Note: This is a continuous exponential growth model. Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
a) 3 Given f(-2)=> and f(5)=96, find a formula assuming it is an 4 exponential function....

a) 3 Given f(-2)=> and f(5)=96, find a formula assuming it is an 4 exponential function. = b) Find the value of an investment that is compounded continuously that has an initial value of $7500 that has a rate of 3.125% after 21 months.

= 4, and the population after 8 weeks is A population of beetles is growing according to a linear growth model. The ini...

= 4, and the population after 8 weeks is A population of beetles is growing according to a linear growth model. The initial population (week 0) was Po Pg 76 (a) Find an explicit formula for the beetle population in week N. Note: Webwork is case-sensitive here, so if you use the variable N in your answer you must keep it capitalized. Py = (b) After how many weeks will the beetle population reach 184? /f your answer is not...