Practical Business Math Procedures with Business Math Handbook
12th Edition
ISBN: 9781259725067
Author: Jeffrey Slater, Sharon M. Wittry
Publisher: McGraw-Hill Education
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Chapter 12.1, Problem 4EPQ
To determine
The effective rate of interest.
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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.)
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…
Chapter 12 Solutions
Practical Business Math Procedures with Business Math Handbook
Ch. 12.1 - Complete the following without a table (round each...Ch. 12.1 - Prob. 2PQCh. 12.1 - Prob. 3PQCh. 12.1 - Prob. 4PQCh. 12.1 - Calculate by Table 12.2 what $1,500 compounded...Ch. 12.1 - Prob. 1EPQCh. 12.1 - Prob. 2EPQCh. 12.1 - Lionel Rodgers deposits $7,000 in Victory Bank,...Ch. 12.1 - Find the effective rate (APY) for the year:...Ch. 12.1 - Prob. 5EPQ
Ch. 12.1 - Prob. 1AHCh. 12.1 - Prob. 2AHCh. 12.1 - Prob. 3AHCh. 12.1 - Prob. 4AHCh. 12.1 - Prob. 5AHCh. 12.1 - Prob. 6AHCh. 12.1 - Prob. 7AHCh. 12.1 - Eileen Hogarty deposits $5,630 in City Bank, which...Ch. 12.1 - Prob. 9AHCh. 12.1 - Prob. 10AHCh. 12.1 - Prob. 11AHCh. 12.1 - Prob. 12AHCh. 12.1 - Prob. 13AHCh. 12.2 - Prob. 1PQCh. 12.2 - Prob. 2PQCh. 12.2 - Bill Blum needs $20,000 6 years from today to...Ch. 12.2 - Prob. 4PQCh. 12.2 - Prob. 1EPQCh. 12.2 - Prob. 2EPQCh. 12.2 - Prob. 3EPQCh. 12.2 - Prob. 4EPQCh. 12.2 - Prob. 1AHCh. 12.2 - Prob. 2AHCh. 12.2 - Prob. 3AHCh. 12.2 - Prob. 4AHCh. 12.2 - Prob. 5AHCh. 12.2 - Prob. 6AHCh. 12.2 - Prob. 7AHCh. 12.2 - Prob. 8AHCh. 12.2 - Prob. 9AHCh. 12.2 - Prob. 10AHCh. 12.2 - Prob. 11AHCh. 12.2 - Prob. 12AHCh. 12.2 - Prob. 13AHCh. 12.2 - Prob. 14AHCh. 12 - Prob. 1ECPCh. 12 - Prob. 2ECPCh. 12 - Prob. 3ECPCh. 12 - Prob. 4ECPCh. 12 - Calculate the effective rate (APY) of interest for...Ch. 12 - Prob. 6ECPCh. 12 - Prob. 7ECPCh. 12 - Prob. 8ECPCh. 12 - Prob. 9ECPCh. 12 - Prob. 10ECPCh. 12 - Prob. 11ECPCh. 12 - Prob. 12ECPCh. 12 - Lynn Ally, owner of a local Subway shop, loaned...Ch. 12 - Prob. 14ECPCh. 12 - Melvin Indecision has difficulty deciding whether...Ch. 12 - Prob. 16ECPCh. 12 - Lee Wills loaned Audrey Chin $16,000 to open Snip...Ch. 12 - Jazelle Momba wants to visit her family in...Ch. 12 - Prob. 19ECPCh. 12 - Prob. 20ECPCh. 12 - Prob. 21ECPCh. 12 - Prob. 22ECPCh. 12 - Prob. 23ECPCh. 12 - Prob. 24ECPCh. 12 - Prob. 25ECPCh. 12 - Prob. 26ECPCh. 12 - Prob. 27ECPCh. 12 - Earl Ezekiel wants to retire in San Diego when he...Ch. 12 - Jackie Rich would like to buy a $26,995 Toyota...Ch. 12 - Treasure Mountain International School in Park...Ch. 12 - Pete’s Real Estate is currently valued at $65,000....Ch. 12 - You are the financial planner for Johnson...Ch. 12 - Lorna Ray, owner of a Starbucks franchise, loaned...Ch. 12 - Joe Beary wants to attend Riverside College. Eight...Ch. 12 - Shelley Katz deposited $30,000 in a savings...Ch. 12 - Earl Miller, owner of a Papa Gino’s franchise,...Ch. 12 - Minnie Rose deposited $16,000 in Street Bank at 6%...Ch. 12 - Lou Ling, owner of Lou’s Lube, estimates that he...Ch. 12 - Bernie Long wants to retire to California when she...Ch. 12 - Jim Jones deposited $19,000 in a savings account...
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- Problem 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_forward2. [-/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_forward
- 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. 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_forwardNote: 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_forward
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