FINITE MATHEMATICS >PRINT UPGRADE<
7th Edition
ISBN: 9780357667286
Author: Waner
Publisher: CENGAGE L
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Chapter 2, Problem 8RE
To determine
To calculate: The present value of an interest worth $10,000 after
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2. A tank with a capacity of 650 gal. originally contains 200 gal of water with 100 lb. of salt in
solution. Water containing 1 lb. of salt per gallon is entering at a rate of 4 gal/min, and the
mixture is allowed to flow out of the tank at a rate of 3 gal/min.
a. Find the amount of salt in the tank at any time prior to the instant when the tank
begins to overflow (650 gallons).
b. Find the concentration (in pounds per gallon) of salt in the tank when the tank hits
400 gallons.
D.E. for mixture problems:
dv
dt=11-12
dA
A(t)
dt
- Suppose that you have the differential equation:
dy
= (y - 2) (y+3)
dx
a. What are the equilibrium solutions for the differential equation?
b. Where is the differential equation increasing or decreasing? Show how you know.
Showing them on the drawing is not enough.
c. Where are the changes in concavity for the differential equation? Show how you
know. Showing them on the drawing is not enough.
d. Consider the slope field for the differential equation. Draw solution curves given the
following initial conditions:
i. y(0) = -5
ii. y(0) = -1
iii. y(0) = 2
5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force
of F(t)=10 sin () and moves in a medium that gives a damping coefficient of ½. If the mass
is set in motion with an initial velocity of 3 and is stretched initially to a length of 5. (I
purposefully removed the units- don't worry about them. Assume no conversions are
needed.)
a) Find the equation for the displacement of the spring mass at time t.
b) Write the equation for the displacement of the spring mass in phase-mode form.
c) Characterize the damping of the spring mass system as overdamped, underdamped or
critically damped. Explain how you know.
D.E. for Spring Mass Systems
k
m* g = kLo
y" +—y' + — —±y = —±F(t), y(0) = yo, y'(0) = vo
m
2
A₁ = √c₁² + C₂²
Q = tan-1
Chapter 2 Solutions
FINITE MATHEMATICS >PRINT UPGRADE<
Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...Ch. 2.1 - In Exercises 110, compute the simple interest for...
Ch. 2.1 - Prob. 11ECh. 2.1 - Prob. 12ECh. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - In Exercises 1116, find the present value of the...Ch. 2.1 - Prob. 16ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Exercises 2328 are based on the following table,...Ch. 2.1 - Prob. 29ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Prob. 33ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Prob. 35ECh. 2.1 - In Exercises 1736, compute the specified quantity....Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Stock Investments Exercises 3742 are based on the...Ch. 2.1 - Prob. 43ECh. 2.1 - Prob. 44ECh. 2.1 - Prob. 45ECh. 2.1 - Prob. 46ECh. 2.1 - Prob. 47ECh. 2.1 - Prob. 48ECh. 2.1 - Prob. 49ECh. 2.1 - Prob. 50ECh. 2.1 - Treasury Bills At auction on August 18, 2005,...Ch. 2.1 - Treasury Bills At auction on August 18, 2005,...Ch. 2.1 - Prob. 53ECh. 2.1 - In the formula FV=PV(1+in), how is the slope of...Ch. 2.1 - Given that FV=0.5n+1,000, for what monthly...Ch. 2.1 - Given that FV=5t+400, for what annual interest...Ch. 2.1 - We said that the choice of which of the two...Ch. 2.1 - Refer to Exercise 57. Show that using the formula...Ch. 2.1 - Prob. 59ECh. 2.1 - Prob. 60ECh. 2.1 - Prob. 61ECh. 2.1 - Prob. 62ECh. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.2 - Prob. 7ECh. 2.2 - Prob. 8ECh. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 110, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1116, calculate, to the nearest cent,...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - In Exercises 1722, find the effective annual...Ch. 2.2 - Savings You deposit $1,000 in an account at the...Ch. 2.2 - Investments You invest $10,000 in Rapid Growth...Ch. 2.2 - Depreciation: 2008 Financial Crisis During 2008...Ch. 2.2 - Depreciation: 2008 Financial Crisis During 2008...Ch. 2.2 - Bonds You want to buy a 10-year bond with a...Ch. 2.2 - Bonds You want to buy a 15-year bond with a...Ch. 2.2 - Investments When I was considering what to do with...Ch. 2.2 - Investments When I was considering what to do with...Ch. 2.2 - Depreciation During a prolonged recession,...Ch. 2.2 - Prob. 32ECh. 2.2 - Prob. 33ECh. 2.2 - Prob. 34ECh. 2.2 - Prob. 35ECh. 2.2 - Sales My recent marketing idea, the Miracle Algae...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Exercises 3742 are based on the following table,...Ch. 2.2 - Retirement Planning I want to be earning an annual...Ch. 2.2 - Prob. 44ECh. 2.2 - Inflation Inflation has been running 2% per year....Ch. 2.2 - Prob. 46ECh. 2.2 - Inflation Housing prices have been rising 6% per...Ch. 2.2 - Prob. 48ECh. 2.2 - Constant Dollars Inflation is running 3% per year...Ch. 2.2 - Prob. 50ECh. 2.2 - Prob. 51ECh. 2.2 - Investments You are offered three investments. The...Ch. 2.2 - History Legend has it that a band of Lenape...Ch. 2.2 - History Repeat Exercise 53, assuming that the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - Inflation Exercises 5562 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - Prob. 65ECh. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - tock Investments Exercises 6368 are based on the...Ch. 2.2 - Prob. 69ECh. 2.2 - Investments Determine when, to the nearest year,...Ch. 2.2 - Epidemics At the start of 1985 the incidence of...Ch. 2.2 - Depreciation My investment in Genetic Splicing,...Ch. 2.2 - Prob. 73ECh. 2.2 - Bonds Suppose that, in January 2040, you buy a...Ch. 2.2 - Prob. 75ECh. 2.2 - Prob. 76ECh. 2.2 - Prob. 77ECh. 2.2 - Prob. 78ECh. 2.2 - Prob. 79ECh. 2.2 - Prob. 80ECh. 2.2 - Prob. 81ECh. 2.2 - Prob. 82ECh. 2.2 - Prob. 83ECh. 2.2 - Prob. 84ECh. 2.2 - Prob. 85ECh. 2.2 - Prob. 86ECh. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - Prob. 2ECh. 2.3 - Prob. 3ECh. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 16, find the amount accumulated in...Ch. 2.3 - In Exercises 712, find the periodic payments...Ch. 2.3 - Prob. 8ECh. 2.3 - Prob. 9ECh. 2.3 - In Exercises 712, find the periodic payments...Ch. 2.3 - Prob. 11ECh. 2.3 - Prob. 12ECh. 2.3 - In Exercises 1318, find the present value of the...Ch. 2.3 - In Exercises 1318, find the present value of the...Ch. 2.3 - Prob. 15ECh. 2.3 - Prob. 16ECh. 2.3 - Prob. 17ECh. 2.3 - Prob. 18ECh. 2.3 - In Exercises 1924, find the periodic withdrawals...Ch. 2.3 - Prob. 20ECh. 2.3 - Prob. 21ECh. 2.3 - Prob. 22ECh. 2.3 - Prob. 23ECh. 2.3 - In Exercises 1924, find the periodic withdrawals...Ch. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - Prob. 26ECh. 2.3 - Prob. 27ECh. 2.3 - Prob. 28ECh. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - Prob. 30ECh. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - In Exercises 2532, determine the periodic payments...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - In Exercises 3338, determine the outstanding...Ch. 2.3 - Prob. 39ECh. 2.3 - In Exercises 3944, determine the selling price,...Ch. 2.3 - Prob. 41ECh. 2.3 - Prob. 42ECh. 2.3 - Prob. 43ECh. 2.3 - Prob. 44ECh. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Retirement Plans and Trusts Exercises 4554 are...Ch. 2.3 - Prob. 54ECh. 2.3 - Pensions Your pension plan is an annuity with a...Ch. 2.3 - Pensions Jennifers pension plan is an annuity with...Ch. 2.3 - Prob. 57ECh. 2.3 - Pensions Megs pension plan is an annuity with a...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Life Insurance Exercises 5964 are based on the...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Prob. 72ECh. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Exercises 6576 are based on the following table,...Ch. 2.3 - Car Loans While shopping for a car loan, you get...Ch. 2.3 - Prob. 78ECh. 2.3 - Refinancing Your original mortgage was a $96,000,...Ch. 2.3 - Refinancing Kara and Michael take out a $120,000,...Ch. 2.3 - Prob. 81ECh. 2.3 - Note: In Exercises 81 and 82 we suggest the use of...Ch. 2.3 - In Exercises 8390, use a time value of money...Ch. 2.3 - Prob. 84ECh. 2.3 - Prob. 85ECh. 2.3 - Prob. 86ECh. 2.3 - Prob. 87ECh. 2.3 - Prob. 88ECh. 2.3 - Prob. 89ECh. 2.3 - In Exercises 8390, use a time value of money...Ch. 2.3 - Prob. 91ECh. 2.3 - Prob. 92ECh. 2.3 - You make equal payments of $200 per month into...Ch. 2.3 - You make equal payments of $400 per month into...Ch. 2.3 - Prob. 95ECh. 2.3 - Prob. 96ECh. 2.3 - We have so far not taken advantage of the fact...Ch. 2.3 - Repeat Exercise 97 for a 10-year, 3.375% bond...Ch. 2.3 - Consider the formula for the future value of an...Ch. 2.3 - Give a non-algebraic justification for the result...Ch. 2 - In Exercises 16, find the future value of the...Ch. 2 - In Exercises 16, find the future value of the...Ch. 2 - Prob. 3RECh. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - Prob. 7RECh. 2 - Prob. 8RECh. 2 - Prob. 9RECh. 2 - In Exercises 712, find the present value of the...Ch. 2 - Prob. 11RECh. 2 - Prob. 12RECh. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Prob. 15RECh. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - Prob. 22RECh. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - Prob. 27RECh. 2 - Prob. 28RECh. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Stock Investments Exercises 2934 are based on the...Ch. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Revenue Total online revenues at OHaganBooks.com...Ch. 2 - Net Income Unfortunately, the picture for net...Ch. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Loans OHaganBooks.com is seeking a $250,000 loan...Ch. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Retirement Planning OHaganBooks.com has just...Ch. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RE
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