Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 11, Problem 9AT
To determine
To calculate: The present value (principal) and the compound interest for an investment with compound amount
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Please solve the following Probability and Statistics problem (please double check solution and provide explanation):
A binary communication channel carries data as one of two types of signals denoted by 0 and 1. Owing tonoise, a transmitted 0 is sometimes received as a 1 and a transmitted 1 is sometimes received as a 0. For agiven channel, assume a probability of 0.94 that a transmitted 0 is correctly received as a 0 and a probability0.91 that a transmitted 1 is received as a 1. Further assume a probability of 0.45 of transmitting a 0. If asignal is sent, determine
1. Probability that a 1 is received2. Probability that a 0 is received3. Probability that a 1 was transmitted given that a 1 was received4. Probability that a 0 was transmitted given that a 0 was received5. Probability of an error
1) Compute the inverse of the following matrix.
0
1
1
A =
5
1
-1
2-3
-3
Question 3 (5pt): A chemical reaction. In an elementary chemical reaction,
single molecules of two reactants A and B form a molecule of the product C :
ABC. The law of mass action states that the rate of reaction is proportional
to the product of the concentrations of A and B:
d[C]
dt
= k[A][B]
(where k is a constant positive number). Thus, if the initial concentrations are
[A] =
= a moles/L and [B] = b moles/L we write x = [C], then we have
(E):
dx
dt
=
k(ax)(b-x)
1
(a) Write the differential equation (E) with separate variables, i.e. of the form
f(x)dx = g(t)dt.
(b) Assume first that a b. Show that
1
1
1
1
=
(a - x) (b - x)
-
a) a - x
b - x
b)
(c) Find an antiderivative for the function f(x) = (a-x) (b-x) using the previous
question.
(d) Solve the differentiel equation (E), i.e. find x as a function of t. Use the fact
that the initial concentration of C is 0.
(e) Now assume that a = b. Find x(t) assuming that a = b. How does this
expression for x(t) simplify if it is known that [C] =…
Chapter 11 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 11.I - Gail Parker invested $10,000 at 6% interest...Ch. 11.I - Jenny Chao invested $20,000 at 6% interest...Ch. 11.I - Prob. 3TIECh. 11.I - Jill Quinn invested $7,000 in a certificate of...Ch. 11.I - Prob. 5TIECh. 11.I - Prob. 1RECh. 11.I - For the following investments, find the total...Ch. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 4RECh. 11.I - Prob. 5RE
Ch. 11.I - Prob. 6RECh. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 8RECh. 11.I - Prob. 9RECh. 11.I - Manually calculate the compound amount and...Ch. 11.I - Prob. 11RECh. 11.I - Prob. 12RECh. 11.I - Prob. 13RECh. 11.I - Prob. 14RECh. 11.I - Prob. 15RECh. 11.I - Prob. 16RECh. 11.I - Using Table 11-1, calculate the compound amount...Ch. 11.I - Prob. 18RECh. 11.I - Prob. 19RECh. 11.I - The following investments require table factors...Ch. 11.I - Prob. 21RECh. 11.I - Prob. 22RECh. 11.I - Prob. 23RECh. 11.I - Prob. 24RECh. 11.I - Prob. 25RECh. 11.I - For the following investments, compute the amount...Ch. 11.I - For the following investments, compute the amount...Ch. 11.I - Prob. 28RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 30RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 35RECh. 11.I - Solve the following exercises and word problems by...Ch. 11.I - Prob. 37RECh. 11.I - Prob. 38RECh. 11.I - 39. Gabriel Hopen, a 32-year-old commercial...Ch. 11.I - 40. The FernRod Motorcycle Company invested...Ch. 11.II - Prob. 6TIECh. 11.II - Calculate a new table factor and find the present...Ch. 11.II - Prob. 8TIECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 2RECh. 11.II - Prob. 3RECh. 11.II - Prob. 4RECh. 11.II - Prob. 5RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 7RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 9RECh. 11.II - Prob. 10RECh. 11.II - Prob. 11RECh. 11.II - The following investments require table factors...Ch. 11.II - The following investments require table factors...Ch. 11.II - Prob. 14RECh. 11.II - The following investments require table factors...Ch. 11.II - Prob. 16RECh. 11.II - Prob. 17RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 19RECh. 11.II - Solve the following word problems by using Table...Ch. 11.II - Prob. 21RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 23RECh. 11.II - Prob. 24RECh. 11.II - Solve the following exercises and word problems by...Ch. 11.II - Prob. 26RECh. 11.II - 27. Alana and Eva Rodriguez are planning a...Ch. 11.II - 28. Mike Gioulis would like to have $25,000 in 4...Ch. 11.II - You are the finance manager for Olympia...Ch. 11 - 1. Interest calculated solely on the principal is...Ch. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - A shortcut method for calculating approximately...Ch. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - 14. To use the compound interest formula and the...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Prob. 4ATCh. 11 - Prob. 5ATCh. 11 - The following investments require table factors...Ch. 11 - Prob. 7ATCh. 11 - For the following investments, compute the amount...Ch. 11 - Prob. 9ATCh. 11 - Prob. 10ATCh. 11 - Calculate the present value (principal) and the...Ch. 11 - Prob. 12ATCh. 11 - Prob. 13ATCh. 11 - Prob. 14ATCh. 11 - Prob. 15ATCh. 11 - Prob. 16ATCh. 11 - Prob. 17ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 19ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 22ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 25ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 28ATCh. 11 - Prob. 29ATCh. 11 - Prob. 30ATCh. 11 - Prob. 31ATCh. 11 - Prob. 32ATCh. 11 - Prob. 33ATCh. 11 - Prob. 34ATCh. 11 - Prob. 35ATCh. 11 - Prob. 36ATCh. 11 - Prob. 37ATCh. 11 - Quinn and Julius inherited $50,000 each from their...Ch. 11 - 39. Greg and Verena Sava need $20,000 in 3 years...
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