EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 14, Problem 15A
Raise the following numbers to the indicated power.
15.
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can you help me solve the parts and show workings please
Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning
at time t = 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.8 cubic feet per
minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate.
Let A(t) represent the amount of CO in the room (in cubic feet) after t minutes.
(A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition.
dA
dt
A(0)
(B) Solve the IVP to find the amount of CO in the room at any time t > 0.
A(t)
(C) Extended exposure to a CO concentration as low as 0.00012 is harmful to the human body. Find the time
at which this concentration is reached.
t=
minutes
You buy a house for $210000, and take out a 30-year mortgage at 7% interest.
For simplicity, assume that interest compounds continuously.
A) What will be your annual mortgage payment?
$
per year
B) Suppose that regular raises at your job allow you to increase your annual payment by 6% each year. For
simplicity, assume this is a nominal rate, and your payment amount increases continuously. How long will it
take to pay off the mortgage?
years
Chapter 14 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 14 - Subtract 7516278 .Ch. 14 - Multiply 7238 . Express the result as a mixed...Ch. 14 - Multiply 1.7022.35 .Ch. 14 - Use Figure 14-5 to answer Exercises 4 through 6....Ch. 14 - Use Figure 14-5 to answer Exercises 4 through 6....Ch. 14 - Use Figure 14-5 to answer Exercises 4 through 6....Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...
Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - Raise the following numbers to the indicated...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the lengths of the sides...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the radii of circles are...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the diameters of spheres...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the radii and heights of...Ch. 14 - In the following table, the diameters and heights...Ch. 14 - In the following table, the diameters and heights...Ch. 14 - In the following table, the diameters and heights...Ch. 14 - In the following table, the diameters and heights...Ch. 14 - Prob. 55ACh. 14 - Prob. 56ACh. 14 - Prob. 57ACh. 14 - Find the area of this plate. All dimensions are in...Ch. 14 - Find the metal volume of this bushing. All...Ch. 14 - Find the volume of this pin. All dimensions are in...Ch. 14 - Prob. 61A
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- Your employer automatically puts 5 percent of your salary into a 401(k) retirement account each year. The account earns 8% interest. Suppose you just got the job, your starting salary is $40000, and you expect to receive a 2% raise each year. For simplicity, assume that interest earned and your raises are given as nominal rates and compound continuously. Find the value of your retirement account after 30 years Value = $arrow_forwardSuppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning at time t = 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.8 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate. Let A(t) represent the amount of CO in the room (in cubic feet) after t minutes. (A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition. dA dt A(0) (B) Solve the IVP to find the amount of CO in the room at any time t > 0. A(t) (C) Extended exposure to a CO concentration as low as 0.00012 is harmful to the human body. Find the time at which this concentration is reached. t= minutesarrow_forwardNewton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the differential equation dT dt k(TA), where T is the temperature of the object after t units of time have passed, A is the ambient temperature of the object's surroundings, and k is a constant of proportionality. Suppose that a cup of coffee begins at 178 degrees and, after sitting in room temperature of 61 degrees for 12 minutes, the coffee reaches 171 degrees. How long will it take before the coffee reaches 155 degrees? Include at least 2 decimal places in your answer. minutesarrow_forward
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