Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 4, Problem 12CR
To determine
To fill: The blank space in the statement, “Additions to a checking account are called ____; subtractions from a checking account are called _____”.
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The rate at which a substance grows is given by R'(x) = 105e0.3x, where x is the time (in days).
What is the total accumulated growth during the first 2.5 days?
Set up the definite integral that determines the accumulated growth during the first 2.5 days.
2.5
Growth = (105e0.3x) dx
0
(Type exact answers in terms of e.)
Evaluate the definite integral.
Growth=
(Do not round until the final answer. Then round to one decimal place as needed.)
Find the total area of the shaded regions.
y
18-
16-
14-
12-
10-
8-
6-
y=ex+1-e
4-
2-
0-
2
3
4
5
-2
-4-
X
☑
The total area of the shaded regions is
(Type an integer or decimal rounded to three decimal places as needed.)
The graph of f(x), shown here, consists of two straight line segments and two quarter circles. Find the
19
value of f(x)dx.
小
Srxdx.
19
f(x)dx
y
7
-7
2
12
19
X
☑
Chapter 4 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 4.I - Use the following blank to write a check for...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Fill out the deposit slip for Hi-Volt Electronics...Ch. 4.I - From the following information, complete the two...Ch. 4.I - You are the owner of the Busy Bee Launderette....Ch. 4.I - Prob. 2RECh. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Properly fill out the deposit slip for The Star...
Ch. 4.I - Properly fill out the deposit slip for Howard...Ch. 4.I - 8. From the following information, complete the...Ch. 4.I - From the following information, complete the...Ch. 4.I - 10. From the following information, complete the...Ch. 4.II - Using the form provided, reconcile the following...Ch. 4.II - 1. On April 3. Erin Gardner received her bank...Ch. 4.II - Bob Albrecht received his bank statement on July 5...Ch. 4.II - On December 2. John Leahy received his bank...Ch. 4 - 1. A(n) ___________ is a written order to a bank...Ch. 4 - On a check, the ___________ is the person or...Ch. 4 - When a(n) ___________ card is used, the amount of...Ch. 4 - 4. Write the word form of $52.45 as it would...Ch. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Attached by perforation to checks, check...Ch. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 1ATCh. 4 - 2. You have just received a check. Your account...Ch. 4 - As cashier for Cellinis Pizza, it is your...Ch. 4 - Simon Fitzrowdy checked his checking account...Ch. 4 - Prob. 5ATCh. 4 - 6. On October 1, Jessica Clay received her bank...Ch. 4 - Using the form on page 121, prepare a bank...
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- Can you solve this two numerical method eqn and teach me.arrow_forwardFind the area between the following curves. x=-4, x=2, y=ex, and y = 3 - ex Set up the integral (or integrals) needed to compute this area. Use the small (Type exact answers in terms of e.) 3 In 2 A. S √ [3-2e*] dx+ -4 2 S [2ex-3] dx 3 In 2 B. dx Find the area between the curves. Area = (Type an exact answer in terms of e.)arrow_forwardUse the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x)=8-2x²: [0,4] Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of integrals. Select the correct choice below and fill in the answer boxes to ○ A. dx B. 2 S 8-2x² dx+ 4 S 2 8-2x2 dx C. dx + S dx For the interval [0,4], the area between the x-axis and f(x) is (Type an integer or a simplified fraction.)arrow_forward
- Pollution from a factory is entering a lake. The rate of concentration of the pollutant at time t is 5 given by P'(t) = 126t², where t is the number of years since the factory started introducing pollutants into the lake. Ecologists estimate that the lake can accept a total level of pollution of 600 units before all the fish life in the lake ends. Can the factory operate for 2 years without killing all the fish in the lake? Set up the integral that would determine the pollution level after 2 years. 2 5 126t 2 dt Can the factory operate for 2 years without killing all the fish in the lake? Thee factory can operate for 2 years without killing all the fish in the lake because the value of the integral is , which is less than 600. (Round to the nearest integer as needed.)arrow_forwardUse the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x)=4x-12; [2,6] The area between the x-axis and f(x) is (Type an integer or a simplified fraction.)arrow_forwardEvaluate the definite integral. 70 √5√2-6 3 dz 70 S 5√2-6 dz= 7 江 (Type an integer or decimal rounded to two decimal places as needed.)arrow_forward
- Find the area between the following curves. 2 y=x³-x²+x+4; y=5x² -7x+4 The area between the curves is (Simplify your answer.) ...arrow_forwardFind the area of the shaded region. 3- -1 -3- Q The total area of the shaded regions is (Simplify your answer.) y=9-x² Q 1 3 5 Xarrow_forwardFind the area of the region bounded by the graphs of the given equations. y=17x, y=x² ... The area is (Type an integer or a simplified fraction.)arrow_forward
- Find the area between the curves. y=x-26, y=9-2x ... The area between the curves is (Type an integer or decimal rounded to the nearest tenth as needed.)arrow_forwardYou are constructing a box out of cardboard with the dimensions 5 m by 6 m. You then cut equal-size squares from each corner so you may fold the edges. Let x be the side length of each square. Find that maximizes the volume of the box. Answer exactly. 8 x x H x ४ x ४ ४ marrow_forwardFind the lengths of PR and OR in terms of the angles α and β. Find the angles ∠ONQ and ∠NPQ. Find the lengths of ON and PN in terms of the angle β. Find the length of PQ. Find the length of QR. Find the length of OM. Find the length of RM. What formula can you write down by noting that PR = QR + PQ? What formula can you write down by noting that OR = OM - RM?arrow_forward
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