
Concept explainers
a
To find the average rate of change of sales between 1993 and 2003.
a

Answer to Problem 27E
The average rate of change between 1993 and 2003 is
Explanation of Solution
Given information:
Year | Cd player sold |
1993 | 512 |
1994 | 520 |
1995 | 413 |
1996 | 410 |
1997 | 468 |
1998 | 510 |
1999 | 590 |
2000 | 607 |
2001 | 732 |
2002 | 612 |
2003 | 584 |
Formula used:
The average rate of change of the function
Calculation:
Therefore the average rate of change between 1993 and 2003 is
Hence, the average rate of change between 1993 and 2003 is
b
To find the average rate of change of sales between 1993 and 1994.
b

Answer to Problem 27E
Theaverage rate of change between 1993 and 1994 is
Explanation of Solution
Given information:
Year | Cd player sold |
1993 | 512 |
1994 | 520 |
1995 | 413 |
1996 | 410 |
1997 | 468 |
1998 | 510 |
1999 | 590 |
2000 | 607 |
2001 | 732 |
2002 | 612 |
2003 | 584 |
Formula used:
The average rate of change of the function
Calculation:
Therefore the average rate of change between 1993 and 1994 is
Hence, the average rate of change between 1993 and 1994 is
c
To find the average rate of change of sales between 1994 and 1996.
c

Answer to Problem 27E
The average rate of change between 1994 and 1996 is
Explanation of Solution
Given information:
Year | Cd player sold |
1993 | 512 |
1994 | 520 |
1995 | 413 |
1996 | 410 |
1997 | 468 |
1998 | 510 |
1999 | 590 |
2000 | 607 |
2001 | 732 |
2002 | 612 |
2003 | 584 |
Formula used:
The average rate of change of the function
Calculation:
Therefore the average rate of change between 1994 and 1996 is
Hence, the average rate of change between 1994 and 1996 is
d
To find the two successive year in which CD player sales increase and decrease most quickly
d

Answer to Problem 27E
The most increase between two successive years is between 2000-2001.
The most decease between two successive years is between 2001-2002
Explanation of Solution
Given information:
Year | Cd player sold |
1993 | 512 |
1994 | 520 |
1995 | 413 |
1996 | 410 |
1997 | 468 |
1998 | 510 |
1999 | 590 |
2000 | 607 |
2001 | 732 |
2002 | 612 |
2003 | 584 |
Formula used:
The average rate of change of the function
Calculation:
Therefore the average rate of change between 1994 and 1995 is
The average rate of change between 1995 and 1996 is
The average rate of change between 1996 and 1997 is
The average rate of change between 1997 and 1998 is
The average rate of change between 1998 and 1999 is
The average rate of change between 1999 and 2000 is
The average rate of change between 2000 and 2001 is
The average rate of change between 2001 and 2002 is
Therefore the average rate of change between 2002 and 2003 is
Hence,the most increase between two successive years is between 2000-2001 and
the most decease between two successive years is between 2001-2002
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus lll May I please have the blank lines completed, and final statement defined as a result? Thank you for the support!arrow_forward3. Consider the polynomial equation 6-iz+7z² - iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.arrow_forwardForce with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with the positive x axisarrow_forward
- Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $13,000, r = 6%, t = 10, compounded quarterly A = $ 31902 Need Help? Read It Watch It Viewing Saved Work Revert to Last Response SUBMIT ANSWER O/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.003. EVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $140,000, r = 8%, t = 8, compounded monthly A = $259130.20 X Need Help? Read It Watch Itarrow_forwardFind the present value of $20,000 due in 3 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 2%/year compounded monthly (b) 5%/year compounded daily $ Need Help? Read It Watch It SUBMIT ANSWER [-/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.009. ASK YOUR TEACHER PRACTICE ANC Find the accumulated amount after 3 years if $4000 is invested at 3%/year compounded continuously. (Round your answer to the nearest cent.) Need Help? Read It Watch Itarrow_forwardFind the effective rate corresponding to the given nominal rate. (Round your answers to three decimal places.) (a) 9.5%/year compounded monthly % (b) 9.5%/year compounded daily % Need Help? Read It Watch It SUBMIT ANSWER -/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.007. ASK YOUR TEACHE Find the present value of $90,000 due in 7 years at the given rate of interest. (Round your answers to the nearest cent.) (a) 9%/year compounded semiannually (b) 9%/year compounded quarterly LAarrow_forward
- Find the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $160,000, r = 7%, t = 4, compounded daily A = $211113.60 Need Help? Read It SUBMIT ANSWER ASK YOUR TEACHER PRACTICE ANOTHER --/6.66 Points] DETAILS MY NOTES TANAPCALC10 5.3.005. Find the effective rate corresponding to the given nominal rate. (Round your answers to three decimal places.) (a) 8%/year compounded semiannually % (b) 9%/year compounded quarterly %arrow_forwardFind the derivative of the function. g'(t) = 9t g(t) = In(t) (9ln(t) - 1) [In(t)] 2 × Need Help? Read It Watch Itarrow_forwardFind the accumulated amount A, if the principal P is invested at an interest rate of r per year for t years. (Round your answer to the nearest cent.) P = $3800, r = 4%, t = 10, compounded semiannually A = $ 5645.60 × Need Help? Read It SUBMIT ANSWER [3.33/6.66 Points] DETAILS MY NOTES REVIOUS ANSWERS ASK YOUR TEACHER TANAPCALC10 5.3.001.EP. PRACTICE ANOTHER Consider the following where the principal P is invested at an interest rate of r per year for t years. P = $3,100, r = 4%, t = 10, compounded semiannually Determine m, the number of conversion periods per year. 2 Find the accumulated amount A (in dollars). (Round your answer to the nearest cent.) A = $ 4604.44arrow_forward
- Force with 800 N and 400 N are acting on a machine part at 30° and 60°, respectively with a positive x axis, Draw the diagram representing this situationarrow_forwardI forgot to mention to you to solve question 1 and 2. Can you solve it using all data that given in the pict i given and can you teach me about that.arrow_forwardexam review please help!arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





