Question: A population P grows according to the equation dP / dt = kP , where k is a constant and t is measured in years.

A population P grows according to the equation
dP/dt = kP,
where k is a constant and t is measured in years. If the population triples every 18 years, what is the value of k?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Q:

\f1. Solve the differential equation y/ = y', y(-5) = -}. Oy= 4-2 Ov=4+7 Ov=4+ ONone of the other answers is correct 2. Solve the differential equation = -5rev, with the initial condition (0, - 1)....

Q:

\f. _ . v . _ 16. A population P grows according, to the equation air. kP. If the population of P triples ever}; 35 years, what is the value of k? 1?. After 28 days, a radioactive substance has...

Q:

please help with the following questions: 5. A city believes its maximum population capacity to be 30,000. If the city currently has 10,000 peOple, and the population grows 4% every year, how long...

Q:

1. Find and classify (as stable, unstable, or semistable) all equilibrium solutions for the following differential equations. Summarize your work in a phase line. (a) y' = y(3 - y)(25 - y?) (b) y' =...

Q:

1. A certain small country has $56 billion in paper currency in circulation, and each day $152 million comes into the country's banks. The government decides to introduce new currency by having the...

Q:

Seat #. Exponential and Logarithmic Growth: Due 12/14 A population y grows according to the equation dy _ by where k is a constant and t is measured in years. If the population doubles every 25...

Q:

"During a certain epidemic, the number of people at are infected at any time increases at a rate proportional to the number of people that are treated at that time. If 700 people are infected when...

Q:

Please need an answer asap I correct. Another model for a growth function for a limited population is given by the Gompertz function, which is a solution of the differential equation dP dt = cln (pP...

Q:

LOGISTIC GROWTH WS 2 1. Suppose you are in charge of stocking a fish pond with fish for which the rate of population growth is modeled by the differential equation dP dt =8P-0.02P. (a) Given P(0)=50....

Q:

step by step please Biologists stocked a lake with 300 sh and estimated the canying capacity (the maximal population for the sh of that species in that lake) to be 3100. The number of sh doubled in...

Q:

Nucleic acids: what are they, and what are they used for? What terms are associated with them (including the monomers and the polymer bond name)? Give some examples of molecules in this group.

Q:

An outstanding issue of Public Express Airlines debentures has a call provision attached. The total principal value of the bonds is $250 million, and the bonds have an annual coupon rate of 9...

Q:

1. Propane has the chemical formula C3H8. In a good supply of air, it undergoes complete combustion to form carbon dioxide and water. (a) Write a chemical equation for the complete combustion of...

Q:

Can you elucidate the role of molecular chaperones and protein quality control systems in maintaining the integrity and homeostasis of the cytoplasm, particularly under conditions of cellular stress...