EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 3, Problem 3A
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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
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 = $
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
Chapter 3 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 3 - Determine the least common denominator of 23,58,...Ch. 3 - Express 14,56, and 712as equivalent fractions...Ch. 3 - Express 298 as a mixed number.Ch. 3 - Express the mixed number 516as an improper...Ch. 3 - Add 512+34+16 .Ch. 3 - Add 238+134+513 .Ch. 3 - Subtract each of the fractions in Exercises 7...Ch. 3 - Subtract each of the fractions in Exercises 7...Ch. 3 - Subtract each of the fractions in Exercises 7...Ch. 3 - Prob. 10A
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