Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Textbook Question
Chapter 3.3, Problem 3P
Describe how to use bundled things to explain regrouping in the subtraction problem
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Consider 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 conclusion
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…
4. [-/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 about
Chapter 3 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 3.1 - Write an Add To problem that fits naturally with...Ch. 3.1 - Write a Put Together/Take Apart, Both Addends...Ch. 3.1 - Write two versions of a Compare, Difference...Ch. 3.1 - Write two versions of a Compare, Bigger Unknown...Ch. 3.1 - Identify the type and subtype of each of the...Ch. 3.1 - Write an Add To, a Put Together/Take Apart, and a...Ch. 3.1 - Write a Take From, a Put Together/Take Apart, and...Ch. 3.1 - Write an Add To problem that can be solved by...Ch. 3.2 - Many teachers have a collection of small cubes...Ch. 3.2 - Discuss the difference between the commutative...
Ch. 3.2 - Figure 3.13 indicates a make-a-ten method for...Ch. 3.2 - Tomaslav has learned the following facts well: All...Ch. 3.2 - Give an example of an arithmetic problem that can...Ch. 3.2 - Give an example of an arithmetic problem that can...Ch. 3.2 - Describe a way to calculate 304-81 mentally, by...Ch. 3.2 - To calculate 15973, a student writes the following...Ch. 3.2 - To calculate 20188, a student writes the following...Ch. 3.2 - David and Ashley want to calculate 8.272.98 by...Ch. 3.2 - Tylishia says that she can calculate 324197 by...Ch. 3.2 - *Is there an associative property of subtracting?...Ch. 3.2 - *Is there a commutative property of subtraction?...Ch. 3.3 - Refer to Class Activity 3l, Adding and Subtracting...Ch. 3.3 - Describe how to use bundled things to explain...Ch. 3.3 - Describe how to use bundled things to explain...Ch. 3.3 - Allie solves the subtraction problem 3049 as...Ch. 3.3 - Zachary added 3.4+2.7 and got the answer 5.11. How...Ch. 3.3 - To solve 512146, a student writes the following:...Ch. 3.3 - Problem: Matteo is 4 feet 3 inches tall. Nico is 3...Ch. 3.3 - Problem: A container holds 2 quarts and 4 fluid...Ch. 3.3 - On a space shuttle mission, a certain experiment...Ch. 3.3 - We can write dates and times in a sort of expanded...Ch. 3.3 - Erin wants to figure out how much time elapsed...Ch. 3.3 - The standard subtraction algorithm described in...Ch. 3.3 - The standard subtraction algorithm described in...Ch. 3.3 - Here’s how Mo solved the subtraction problem...Ch. 3.3 - *After you solve part (b) of this problem, think...Ch. 3.4 - Using the example 27+37, explain why we add...Ch. 3.4 - Using the example 23+34, explain why we add...Ch. 3.4 - Using the example 356, describe the procedure for...Ch. 3.4 - Use two number lines, one labeled with (fractions...Ch. 3.4 - For each of the following decimals, show how to...Ch. 3.4 - Show how to calculate the sum 25+0.25 and show how...Ch. 3.4 - Show how to calculate 538+123 in two different...Ch. 3.4 - Show how to calculate 423+134 in two different...Ch. 3.4 - Find two different positive fractions whose sum is...Ch. 3.4 - John says 23+33=46 and uses the drawing in Figure...Ch. 3.4 - Denise says that 2312=13 and gives the reasoning...Ch. 3.4 - Arnold says that 223=45, and he uses the drawing...Ch. 3.4 - Can the following problems about voters be solved...Ch. 3.4 - Can the following problems about a bird feeder be...Ch. 3.4 - Can the following problems about Sarah’s bead...Ch. 3.4 - Can the following problem about Jim’s medicine be...Ch. 3.4 - a. Write and solve a word problem for 34+23. b....Ch. 3.4 - a. Write and solve a word problem for 212+113. b....Ch. 3.4 - a. Write and solve a Compare problem that can be...Ch. 3.4 - a. Write and solve a Put Together/Take Apart...Ch. 3.4 - For each square in Figure 3.33, determine the...Ch. 3.4 - For each square in Figure 3.34, determine the...Ch. 3.4 - Broad Street divides Popperville into an east side...Ch. 3.4 - Anklescratch County and Kneebend County are two...Ch. 3.4 - There are two elementary schools in the town of...Ch. 3.4 - Suppose you start with a fraction and you add 1 to...Ch. 3.4 - *In the first part of the season, the Bluejays...Ch. 3.5 - Write an Add To problem that fits naturally with...Ch. 3.5 - Write a Compare problem that fits with the...Ch. 3.5 - a. Show how to use a number line to calculate...Ch. 3.5 - For each of these four expressions,...
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- 6. [-/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_forwardThe general solution X'=Ax is given. Discuss the nature of the solutions in a neighborhood of (0,0) -2-2 (²) |a) A = (23) X(A) = (₁ (fi)e* + (2 (2) eht -2-5arrow_forwardshow work in paperarrow_forward
- practice problem please help!arrow_forwardPlease ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.arrow_forwardFind a parameterization for a circle of radius 4 with center (-4,-6,-3) in a plane parallel to the yz plane. Write your parameterization so the y component includes a positive cosine.arrow_forward
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