EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 29, Problem 6A
Find the metal area of the washer in Figure 29-6. Round the answer to the nearest tenth.
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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 29 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 29 - Prob. 1ACh. 29 - Prob. 2ACh. 29 - Prob. 3ACh. 29 - What percent of 258 is 196? Round the answer to 2...Ch. 29 - Use a calculator to determine 23.7443.52.Round the...Ch. 29 - Find the metal area of the washer in Figure 29-6....Ch. 29 - Prob. 7ACh. 29 - Prob. 8ACh. 29 - Refer to Figure 29-7. Dimension A with its...Ch. 29 - Prob. 10A
Ch. 29 - Prob. 11ACh. 29 - Prob. 12ACh. 29 - Refer to Figure 29-9 to determine the values in...Ch. 29 - Prob. 14ACh. 29 - Prob. 15ACh. 29 - Spacers are manufactured to the mean dimension and...Ch. 29 - A tool and die maker grinds a pin to an...Ch. 29 - A piece is to be cut to the dimensions and...Ch. 29 - Determine the maximum and minimum permissible wall...Ch. 29 - Mating parts are shown in Figure 29-16. The pins...Ch. 29 - Prob. 21A
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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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