Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 12.III, Problem 24RE
(a)
To determine
To calculate: The amount of money that is financed by Betty on purchase of new home of
(b)
To determine
To calculate: The amount of monthly loan payment to be made for the loan for a house of
(c)
To determine
To calculate: The amount of monthly loan payment to be made for the loan for a house of
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Suppose an oil spill covers a circular area and the radius, r, increases according to the graph shown below where t
represents the number of minutes since the spill was first observed.
Radius (feet)
80
70
60
50
40
30
20
10
0
r
0 10 20 30 40 50 60 70 80 90
Time (minutes)
(a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of π.
square feet
(b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a
function of the radius of the spill, r. Use a lower case k as the proportionality constant.
C(r) =
(c) Which of the following expressions could be used to represent the amount of time it took for the radius of the spill to
increase from 20 feet to 60 feet?
r(60) - r(20)
Or¹(80-30)
r(80) - r(30)
r-1(80) - r−1(30)
r-1(60) - r¹(20)
6. Graph the function f(x)=log3x. Label three points on the graph (one should be the intercept) with
corresponding ordered pairs and label the asymptote with its equation. Write the domain and range of the function
in interval notation. Make your graph big enough to see all important features.
Find the average value gave of the function g on the given interval.
gave =
g(x) = 8√√x, [8,64]
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Chapter 12 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 12.I - Freeport Bank is paying 8% interest compounded...Ch. 12.I - Vista Savings Loan is paying 6% interest...Ch. 12.I - Katrina Byrd invested $250 at the end of every...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...
Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Use Table 12-1 to calculate the future value of...Ch. 12.I - Solve the following exercises by using Table 12-1....Ch. 12.I - Solve the following exercises by using Table 12-1....Ch. 12.I - Solve the following exercises by using Table...Ch. 12.I - Solve the following exercises by using Table 12-1....Ch. 12.I - Solve the following exercises by using Table...Ch. 12.I - Solve the following exercises by using formulas....Ch. 12.I - Solve the following exercises by using...Ch. 12.I - Solve the following exercises by using formulas....Ch. 12.I - Annuities Due Annuity Payment Time Nominal...Ch. 12.I - Annuities...Ch. 12.I - Annuities Due Annuity Payment Time Nominal...Ch. 12.I - To establish a "rainy day" cash reserve account....Ch. 12.I - 23. As a part of his retirement planning strategy....Ch. 12.I - Hi-Tech Hardware has been in business for a few...Ch. 12.II - Prob. 4TIECh. 12.II - Prob. 5TIECh. 12.II - Prob. 6TIECh. 12.II - Use Table 12-2 to calculate the present value of...Ch. 12.II - Prob. 2RECh. 12.II - Prob. 3RECh. 12.II - Prob. 4RECh. 12.II - Prob. 5RECh. 12.II - Prob. 6RECh. 12.II - Prob. 7RECh. 12.II - Prob. 8RECh. 12.II - Prob. 9RECh. 12.II - Prob. 10RECh. 12.II - Prob. 11RECh. 12.II - Solve the following exercises by using Table...Ch. 12.II - Solve the following exercises by using Table 12-2....Ch. 12.II - Prob. 14RECh. 12.II - Solve the following exercises by using Table...Ch. 12.II - Solve the following exercises by using Table...Ch. 12.II - Prob. 17RECh. 12.II - Prob. 18RECh. 12.II - Prob. 19RECh. 12.II - Prob. 20RECh. 12.II - Prob. 21RECh. 12.II - Prob. 22RECh. 12.II - As part of an inheritance. Joan Townsend will...Ch. 12.II - Norm Legend has been awarded a scholarship from...Ch. 12.III - Prob. 7TIECh. 12.III - Prob. 8TIECh. 12.III - Prob. 9TIECh. 12.III - Apex Manufacturing recently purchased a new...Ch. 12.III - Prob. 1RECh. 12.III - Prob. 2RECh. 12.III - Prob. 3RECh. 12.III - Prob. 4RECh. 12.III - Prob. 5RECh. 12.III - Prob. 6RECh. 12.III - You have just been hired as a loan officer at the...Ch. 12.III - Prob. 8RECh. 12.III - Prob. 9RECh. 12.III - Loan Payment Term of Nominal Present...Ch. 12.III - Prob. 11RECh. 12.III - Solve the following exercises by using tables.
12....Ch. 12.III - Solve the following exercises by using tables.
13....Ch. 12.III - Solve the following exercises by using tables....Ch. 12.III - Solve the following exercises by using tables.
15....Ch. 12.III - Solve the following exercises by using the sinking...Ch. 12.III - Prob. 17RECh. 12.III - Prob. 18RECh. 12.III - Prob. 19RECh. 12.III - Prob. 20RECh. 12.III - Prob. 21RECh. 12.III - Prob. 22RECh. 12.III - Randy Scott purchased a motorcycle for $8,500 with...Ch. 12.III - Prob. 24RECh. 12.III - Prob. 25RECh. 12 - Payment or receipt of equal amounts of money per...Ch. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - The table factor for an annuity due is found by...Ch. 12 - 7. Write the formula for calculating the future...Ch. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - 11. A(n) ____ fund is an account used to set aside...Ch. 12 - Prob. 12CRCh. 12 - Prob. 13CRCh. 12 - Prob. 14CRCh. 12 - Prob. 1ATCh. 12 - Prob. 2ATCh. 12 - Prob. 3ATCh. 12 - Prob. 4ATCh. 12 - Prob. 5ATCh. 12 - Prob. 6ATCh. 12 - Prob. 7ATCh. 12 - Use Table 12-2 to calculate the present value of...Ch. 12 - Prob. 9ATCh. 12 - Use Table 12-1 to calculate the amount of the...Ch. 12 - Prob. 11ATCh. 12 - Prob. 12ATCh. 12 - Prob. 13ATCh. 12 - Prob. 14ATCh. 12 - Prob. 15ATCh. 12 - Prob. 16ATCh. 12 - Solve the following exercises by using tables.
17....Ch. 12 - Prob. 18ATCh. 12 - Prob. 19ATCh. 12 - Solve the following exercises by using tables....Ch. 12 - Solve the following exercises by using formulas....Ch. 12 - Prob. 22ATCh. 12 - Prob. 23ATCh. 12 - Prob. 24ATCh. 12 - Prob. 25ATCh. 12 - Prob. 26ATCh. 12 - Prob. 27ATCh. 12 - Prob. 28ATCh. 12 - Prob. 29ATCh. 12 - Prob. 30ATCh. 12 - Prob. 31ATCh. 12 - Prob. 32ATCh. 12 - Prob. 33ATCh. 12 - Prob. 34ATCh. 12 - Prob. 35AT
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- 3. Mary needs to choose between two investments: One pays 5% compounded annually, and the other pays 4.9% compounded monthly. If she plans to invest $22,000 for 3 years, which investment should she choose? How much extra interest will she earn by making the better choice? For all word problems, your solution must be presented in a sentence in the context of the problem.arrow_forward4 πT14 Sin (X) 3 Sin(2x) e dx 1716 S (sinx + cosx) dxarrow_forwardLet g(x) = f(t) dt, where f is the function whose graph is shown. 3 y f(t) MA t (a) At what values of x do the local maximum and minimum values of g occur? Xmin = Xmin = Xmax = Xmax = (smaller x-value) (larger x-value) (smaller x-value) (larger x-value) (b) Where does g attain its absolute maximum value? x = (c) On what interval is g concave downward? (Enter your answer using interval notation.)arrow_forward
- 2. Graph the function f(x)=e* −1. Label three points on the graph (one should be the intercept) with corresponding ordered pairs (round to one decimal place) and label the asymptote with its equation. Write the domain and range of the function in interval notation. Make your graph big enough to see all important features. You may show the final graph only.arrow_forwardansewer both questions in a very detailed manner . thanks!arrow_forwardQuestion Considering the definition of f(x) below, find lim f(x). Select the correct answer below: -56 -44 ○ -35 ○ The limit does not exist. x+6 -2x² + 3x 2 if x-4 f(x) = -x2 -x-2 if -4x6 -x²+1 if x > 6arrow_forward
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