It is projected that t years from now, the population of a certain country will be P(t)

Question:

It is projected that t years from now, the population of a certain country will be P(t) = 50e^0.02t million.

a. At what rate will the population be changing with respect to time 10 years from now?

b. At what percentage rate will the population be changing with respect to time t years from now? Does this percentage rate depend on t or is it constant?

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

Step by Step Answer:

Related Book For answer-question

Calculus For Business, Economics And The Social And Life Sciences

ISBN: 9780073532387

11th Brief Edition

Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

See More Books

Question Posted: Jun 20, 2023 04:12 AM

See More Questions

It is estimated that t years from now the population of a certain country will be P million people, where a. Sketch the graph of P(t). b. What is the current population? c. What will be the...
Studies indicate that t years from now, the population of a certain country will be p = 0.2t + 1,500 thousand people, and that the gross earnings of the country will be E million dollars, where a....
It is estimated that t years from now the population of a certain suburban community will be p thousand people, where An environmental study indicates that the average level of carbon monoxide in the...
On the cost of goods manufactured schedule, depreciation onfactory equipment... A. is not listed because it is not a product cost. B. is not an inventoriable cost. C. is not listed because it is...
Reed, CPA, accepted an engagement to audit the financial statements of Smith Company. Reeds discussions with Smiths new management and the predecessor auditor indicated the possibility that Smiths...
What do you see as the biggest problem in implementing an ERP in your factories?
Refer to the information in QS 13-4. Use that information for Tide Corporation to determine the 2016 and 2017 common-size percents for cost of goods sold using net sales as the base. Data From QS...
(Treasury Stock Transactions and Presentation) Clemson Company had the following stockholders equity as of January 1, 2010. Common stock, $5 par value, 20,000 shares issued $100,000 Paid-in capital...
Regarding 1031 exchanges, which of these statements regarding debt load in an exchanged property is true? Unset starred question The 1031 exchange doesn't address debt load. The debt load for the new...
It is projected that t years from now, the population of a certain town will be approximately P(t) thousand people, where At what rate will the population be changing 10 years from now? At what...
Use the graphing utility of your calculator to graph y = 10 x , y = x, and y = log 10 x on the same coordinate axes (use [5, 5]1 by [5, 5]1). How are these graphs related?
The mean of a distribution is 20 and the standard deviation is 2. Use Chebyshevs theorem. a. At least what percentage of the values will fall between 10 and 30? b. At least what percentage of the...
What are specific information processing behavior concerns that may breakdown frontier analysis?
What is an Early Payment Discount? 2. Why would you create a special term? What report can you run to see if there are any bills with discounts?
Can you explain the concept of a bank reconciliation statement in a simplified manner?
How do you handle errors or mistakes found during the bank reconciliation process? Explain briefly
Icey Industries manufactures air conditioning units. The company is a subsidiary of Icey Group and operates as an investment centre. Icey Group requires a cost of capital of 7 per cent. Extracts from...
You are vice president of Sales for a medium sized technology firm and have been asked to design a new compensation package for the companys national sales force of 50 people. Currently, they are...
Establish identity. cos( + k) = (-1)k cos , k any integer
Sara Swangard wants to deposit $12,000 at the end of each year for 9 years into an annuity. a. Saras local bank offers an account paying 5% interest compounded annually. Find the final amount she...
For 8 years, Tobi Casper deposits $100 at the end of each month into an annuity paying 6% annual interest compounded monthly. a. Find the total amount Tobi deposits into the account over the 8 years....
Steve Day wants $20,000 in 8 years. a. What amount should he deposit at the end of each quarter at 6% annual interest compounded quarterly to accumulate the $20,000? b. Find his quarterly deposit if...
Jack is planning to reopen his organic butcher shop on mid August with a reopening event. his banker is willing to give him a loan of $3000. However, Jack needs to prove his banker that organic meat...
+ (a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 8.00 x 10-5 kg hangs motionless on it. (Enter a number.) N (b) Calculate the tension (in N) in a horizontal...
A state law reads as follows; " Any child under the age of 10 that is sexually molested by an adult may testify by closed circuit television. Only the judge shall be allowed to question the child....

It is projected that t years from now, the population of a certain country will be P(t)

Question:

Step by Step Answer:

a Pt 50e 002t The rate of change of the population t years from n...View the full answer

Calculus For Business, Economics And The Social And Life Sciences

Students also viewed these Mathematics questions