The population of a town grows at a rate proportional to the population present at time t.

Question:

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 15% in 10 years. What will be the population in 30 years? How fast is the population growing at t = 30?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

See More Books

Question Posted: Jul 13, 2018 01:00 PM

See More Questions

A bacteria culture starts with 500 bacteria and grows at a rate proportional to its size. After 3 hours there are 8000 bacteria. (a) Find an expression for the number of bacteria after hours. (b)...
A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of bacteria...
A bacteria culture contains 200 cells initially and grows at a rate proportional to its size. After half an hour the population has increased to 360 cells. (a) Find the number of bacteria after...
Describe the relationship of the AD, SRAS, and LRAS curves when the economy is in long-run macroeconomic equilibrium.
Using the historical risk premiums as your guide, what is your estimate of the expected annual HPR on the S&P 500 stock portfolio if the current risk-free interest rate is 5%?
Two pulleys are driven by a belt as shown in Fig. 5.62. If the pulleys have radii \(r_{1}\) and \(r_{2}\) and mass moments of inertia \(J_{1}\) and \(J_{2}\), respectively, determine the natural...
The transactions for Learning Fun Daycare, Inc., for the month of May 2010 are posted in the following T-accounts. Requirements 1. Calculate account balances. 2. Prepare the trial balance for...
The Monkey and Bananas Problem A 20-kg monkey has a firm hold on a light rope that passes over a frictionless pulley and is attached to a 20-kg bunch of bananas (Fig. 5.77). The monkey looks up, sees...
Total assets P 8 0 0 , Total deposits P 7 0 0 , Total loans P 4 5 0 , Net income P 8 0 . calculate the net interest margin of that bank
Prevosti Farms and Sugarhouse pays its employees according to their job classification. The following employees make up Sugarhouse's staff: Employee Number Name and Address Payroll information...
Suppose it is known that the population of the community in Problem 1 is 10,000 after 3 years. What was the initial population P 0 ? What will be the population in 10 years? How fast is the...
The population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. After 3 hours it is observed that 400 bacteria are present. After 10 hours 2000...
Consider the following multifactor (APT) model of security returns for a particular stock. a. If T-bills currently offer a 6% yield, find the expected rate of return on this stock if the market views...
Taylor Marina has 300 available slips that rent for 800 per season. Payments must be made in full at the start of the boating season, April 1, 2015. The boating season ends October 31, and the marina...
Garison Music Emporium carries a wide variety of musical instruments, sound reproduction equipment, recorded music, and sheet music. Garison uses two sales promotion techniqueswarranties and...
Calafs Drillers erects and places into service an off-shore oil platform on January 1, 2015, at a cost of 10,000,000. Calaf estimates it will cost 1,000,000 to dismantle and remove the platform at...
On June 3, 2015, Hunt Company sold to Ann Mount merchandise having a sales price of 8,000 (cost 5,600) with terms of 2/10, n/60, f.o.b. shipping point. Hunt estimates that merchandise with a sales...
Brooks Corporation sells computers under a 2-year warranty contract that requires the corporation to replace defective parts and to provide the necessary repair labor. During 2015, the corporation...
Determine which of the value(s) (a) through (d), if any, must be excluded from the domain of the variable in the expression: (a) x = 3 (b) x = 1 (c) x = 0 (d) x = -1 x? + 1
Why is the national security argument for tariffs questionable?
In problem solve the given linear system. 3 X' = -1 -2' X +
Solve the system in Problem 9 subject to the initial condition Problem 9 In problem use (5) to find the general solution of the given system. X(0) 3)
In problem use variation of parameters to solve the given system. (3 -5 X' = X +
What management area has as its objective to increase the likelihood and impact of positive events and decrease the likelihood and impact of negative events in the project?
Arctica manufactures snowmobiles and ATVs. These products are made in different departments, and each department has its own manager. Each responsibility performance report includes only those costs...
material handling as a scaffold builder What materials are you handling that may need to be moved from one point to another? Are the materials hazardous? How do you store them safely? What steps do...

The population of a town grows at a rate proportional to the population present at time t.

Question:

Step by Step Answer:

Let P Pt be the population at time t Then dPdt kP and P ce kt ...View the full answer

A First Course in Differential Equations with Modeling Applications

Students also viewed these Mathematics questions