Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12.II, Problem 1RE
Use Table 12-2 to calculate the present value of the following ordinary annuities.
| Annuity | Payment | Time | Nominal | Interest | Present Value | |||||||
| Payment | Frequency | Period (years) | Rate (%) | Compounded | of the Annuity | |||||||
| 1. | $300 | every 6 month | 7 | 10 | semiannually | $2,969.59 | ||||||
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
This question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one.
A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The
wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture.
A
B
A
B
at some instant, the piston will be tangent to the circle
(a) Express the x and y coordinates of point A as functions of t:
x= 2 cos(3πt)
and y= 2 sin(3t)
(b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds:
-cot(3πt)
sin(3лt)
(c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +411-
4
-2 sin (3лt)
(d)…
5. [-/1 Points]
DETAILS
MY NOTES
SESSCALCET2 6.5.AE.003.
y
y= ex²
0
Video Example
x
EXAMPLE 3
(a) Use the Midpoint Rule with n = 10 to approximate the integral
कर
L'ex²
dx.
(b) Give an upper bound for the error involved in this approximation.
SOLUTION
8+2
1
L'ex² d
(a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.)
dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)]
0.1 [0.0025 +0.0225
+
+ e0.0625 + 0.1225
e0.3025 + e0.4225
+ e0.2025
+
+ e0.5625 €0.7225 +0.9025]
The figure illustrates this approximation.
(b) Since f(x) = ex², we have f'(x)
=
0 ≤ f'(x) =
< 6e.
ASK YOUR TEACHER
and f'(x) =
Also, since 0 ≤ x ≤ 1 we have x² ≤
and so
Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final
answer to five decimal places.)
6e(1)3
e
24(
=
≈
1. Consider the following preference ballots:
Number of voters
Rankings 6 5 4 2
1st choice A DCB
DC
2nd choice B B D
3rd choice DCBD
4th choice CA
AAA
For each of the four voting systems we have studied, determine who would win the election
in each case. (Remember: For plurality with runoff, all but the top two vote-getters are
simultaneously eliminated at the end of round 1.)
Chapter 12 Solutions
Contemporary Mathematics for Business and Consumers
Ch. 12.I - Freeport Bank is paying 8% interest compounded...Ch. 12.I - Vista Savings Loan is paying 6% interest...Ch. 12.I - Katrina Byrd invested $250 at the end of every...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...
Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Solve the following exercises by using Table 12-1....Ch. 12.I - Solve the following exercises by using Table 12-1....Ch. 12.I - Solve the following exercises by using Table...Ch. 12.I - Solve the following exercises by using Table 12-1....Ch. 12.I - Solve the following exercises by using Table...Ch. 12.I - Solve the following exercises by using formulas....Ch. 12.I - Solve the following exercises by using...Ch. 12.I - Solve the following exercises by using formulas....Ch. 12.I - Annuities Due Annuity Payment Time Nominal...Ch. 12.I - Annuities...Ch. 12.I - Annuities Due Annuity Payment Time Nominal...Ch. 12.I - To establish a "rainy day" cash reserve account....Ch. 12.I - 23. As a part of his retirement planning strategy....Ch. 12.I - Hi-Tech Hardware has been in business for a few...Ch. 12.II - Prob. 4TIECh. 12.II - Prob. 5TIECh. 12.II - Prob. 6TIECh. 12.II - Use Table 12-2 to calculate the present value of...Ch. 12.II - Prob. 2RECh. 12.II - Prob. 3RECh. 12.II - Prob. 4RECh. 12.II - Prob. 5RECh. 12.II - Prob. 6RECh. 12.II - Prob. 7RECh. 12.II - Prob. 8RECh. 12.II - Prob. 9RECh. 12.II - Prob. 10RECh. 12.II - Prob. 11RECh. 12.II - Solve the following exercises by using Table...Ch. 12.II - Solve the following exercises by using Table 12-2....Ch. 12.II - Prob. 14RECh. 12.II - Solve the following exercises by using Table...Ch. 12.II - Solve the following exercises by using Table...Ch. 12.II - Prob. 17RECh. 12.II - Prob. 18RECh. 12.II - Prob. 19RECh. 12.II - Prob. 20RECh. 12.II - Prob. 21RECh. 12.II - Prob. 22RECh. 12.II - As part of an inheritance. Joan Townsend will...Ch. 12.II - Norm Legend has been awarded a scholarship from...Ch. 12.III - Prob. 7TIECh. 12.III - Prob. 8TIECh. 12.III - Prob. 9TIECh. 12.III - Apex Manufacturing recently purchased a new...Ch. 12.III - Prob. 1RECh. 12.III - Prob. 2RECh. 12.III - Prob. 3RECh. 12.III - Prob. 4RECh. 12.III - Prob. 5RECh. 12.III - Prob. 6RECh. 12.III - You have just been hired as a loan officer at the...Ch. 12.III - Prob. 8RECh. 12.III - Prob. 9RECh. 12.III - Loan Payment Term of Nominal Present...Ch. 12.III - Prob. 11RECh. 12.III - Solve the following exercises by using tables.
12....Ch. 12.III - Solve the following exercises by using tables.
13....Ch. 12.III - Solve the following exercises by using tables....Ch. 12.III - Solve the following exercises by using tables.
15....Ch. 12.III - Solve the following exercises by using the sinking...Ch. 12.III - Prob. 17RECh. 12.III - Prob. 18RECh. 12.III - Prob. 19RECh. 12.III - Prob. 20RECh. 12.III - Prob. 21RECh. 12.III - Prob. 22RECh. 12.III - Randy Scott purchased a motorcycle for $8,500 with...Ch. 12.III - Prob. 24RECh. 12.III - Prob. 25RECh. 12 - Payment or receipt of equal amounts of money per...Ch. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - The table factor for an annuity due is found by...Ch. 12 - 7. Write the formula for calculating the future...Ch. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - 11. A(n) ____ fund is an account used to set aside...Ch. 12 - Prob. 12CRCh. 12 - Prob. 13CRCh. 12 - Prob. 14CRCh. 12 - Prob. 1ATCh. 12 - Prob. 2ATCh. 12 - Prob. 3ATCh. 12 - Prob. 4ATCh. 12 - Prob. 5ATCh. 12 - Prob. 6ATCh. 12 - Prob. 7ATCh. 12 - Use Table 12-2 to calculate the present value of...Ch. 12 - Prob. 9ATCh. 12 - Use Table 12-1 to calculate the amount of the...Ch. 12 - Prob. 11ATCh. 12 - Prob. 12ATCh. 12 - Prob. 13ATCh. 12 - Prob. 14ATCh. 12 - Prob. 15ATCh. 12 - Prob. 16ATCh. 12 - Solve the following exercises by using tables.
17....Ch. 12 - Prob. 18ATCh. 12 - Prob. 19ATCh. 12 - Solve the following exercises by using tables....Ch. 12 - Solve the following exercises by using formulas....Ch. 12 - Prob. 22ATCh. 12 - Prob. 23ATCh. 12 - Prob. 24ATCh. 12 - Prob. 25ATCh. 12 - Prob. 26ATCh. 12 - Prob. 27ATCh. 12 - Prob. 28ATCh. 12 - Prob. 29ATCh. 12 - Prob. 30ATCh. 12 - Prob. 31ATCh. 12 - Prob. 32ATCh. 12 - Prob. 33ATCh. 12 - Prob. 34ATCh. 12 - Prob. 35AT
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Practice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…arrow_forwardProblem 1.We consider a two-period binomial model with the following properties: each period lastsone (1) year and the current stock price is S0 = 4. On each period, the stock price doubleswhen it moves up and is reduced by half when it moves down. The annual interest rateon the money market is 25%. We consider four options on this market: A European call option with maturity T = 2 years and strike price K = 5; A European put option with maturity T = 2 years and strike price K = 5; An American call option with maturity T = 2 years and strike price K = 5; An American put option with maturity T = 2 years and strike price K = 5.(a) Find the price at time 0 of both European options.(b) Find the price at time 0 of both American options. Compare your results with (a)and comment.(c) For each of the American options, describe the optimal exercising strategy.(d) We assume that you sell the American put to a market participant A for the pricefound in (b). Explain how you act on the market…arrow_forwardWhat is the standard scores associated to the left of z is 0.1446arrow_forward
- 2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.015. Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) ASK YOUR TEACHER 3 1 3 + dy, n = 6 (a) the Trapezoidal Rule (b) the Midpoint Rule (c) Simpson's Rule Need Help? Read It Watch Itarrow_forwardThis question builds on an earlier problem. The randomized numbers may have changed, but have your work for the previous problem available to help with this one. A 4-centimeter rod is attached at one end to a point A rotating counterclockwise on a wheel of radius 2 cm. The other end B is free to move back and forth along a horizontal bar that goes through the center of the wheel. At time t=0 the rod is situated as in the diagram at the left below. The wheel rotates counterclockwise at 1.5 rev/sec. At some point, the rod will be tangent to the circle as shown in the third picture. B A B at some instant, the piston will be tangent to the circle (a) Express the x and y coordinates of point A as functions of t: x= 2 cos(3πt) and y= 2 sin(3πt) (b) Write a formula for the slope of the tangent line to the circle at the point A at time t seconds: -cot (3πt) (c) Express the x-coordinate of the right end of the rod at point B as a function of t: 2 cos(3πt) +41/1 (d) Express the slope of the rod…arrow_forwardConsider the proof below: Proposition: If m is an even integer, then 5m +4 is an even integer. Proof: We see that |5m+4=10n+4 = 2(5n+2). Therefore, 5m+4 is an even integer. **Note: you may assume the proof is valid, just poorly written. Based upon the Section 1.3 screencast and the reading assignment, select all writing guidelines that are missing in the proof. Proof begins by stating assumptions ✓ Proof has an invitational tone/uses collective pronouns Proof is written in complete sentences Each step is justified ☐ Proof has a clear conclusionarrow_forward
- Note: The purpose of this problem below is to use computational techniques (Excelspreadsheet, Matlab, R, Python, etc.) and code the dynamic programming ideas seen inclass. Please provide the numerical answer to the questions as well as a sample of yourwork (spreadsheet, code file, etc.).We consider an N-period binomial model with the following properties: N = 60, thecurrent stock price is S0 = 1000; on each period, the stock price increases by 0.5% whenit moves up and decreases by 0.3% when it moves down. The annual interest rate on themoney market is 5%. (Notice that this model is a CRR model, which means that thebinomial tree is recombining.)(a) Find the price at time t0 = 0 of a (European) call option with strike price K = 1040and maturity T = 1 year.(b) Find the price at time t0 = 0 of a (European) put option with strike price K = 1040and maturity T = 1 year.(c) We consider now, that you are at time t5 (i.e. after 5 periods, which represents 1month later). Assume that the stock…arrow_forward4. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.024. Find the approximations Tη, Mn, and S, to the integral computer algebra system.) ASK YOUR TEACHER PRACTICE ANOTHER 4 39 √ dx for n = 6 and 12. Then compute the corresponding errors ET, EM, and Es. (Round your answers to six decimal places. You may wish to use the sum command on a n Tn Mn Sp 6 12 n ET EM Es 6 12 What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, ET and EM are decreased by a factor of about Need Help? Read It ' and Es is decreased by a factor of aboutarrow_forward6. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.001. ASK YOUR TEACHER PRACTICE ANOTHER Let I = 4 f(x) dx, where f is the function whose graph is shown. = √ ² F(x 12 4 y f 1 2 (a) Use the graph to find L2, R2 and M2. 42 = R₂ = M₂ = 1 x 3 4arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY