Concept explainers
(a)
To find: the charge for using 50 therms in a month.
(a)
Answer to Problem 49AYU
The charge for using therms in one month is $52.
Explanation of Solution
Given information:
Monthly service charge $15.95.
Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
Calculation:
For using 50 therms in a month, the rate of service charge $0.33606/therm applied.
In addition monthly service charge $15.95 and gas charge $0.3940/therm also applied.
Monthly service charge = $15.95
Gas charge
Therm service charge
Total charge
Therefore, the charge for using therms in one month is $52.45300.
(b)
To find: the charge for using 500 therms in a month.
(b)
Answer to Problem 49AYU
The charge for using therms in one month is $277.363.
Explanation of Solution
Given information:
Monthly service charge $15.95.
Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
Calculation:
For using 500 therms in a month, the rate of service charge $0.33606/therm applied for initial 50 therms and the rate of the service charge $0.10580/therm applied for 450 therms in exceed of 50 therms.
In addition monthly service charge $15.95 and gas charge $0.3940/therm also applied.
Monthly service charge = $15.95
Gas charge
Therm service charge
Total charge
Therefore, the charge for using therms in one month is $277.363.
(c)
To develop: a model that relates the monthly charge
(c)
Answer to Problem 49AYU
Explanation of Solution
Given information:
Monthly service charge $15.95.
Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
Calculation:
For using
In addition monthly service charge $15.95 and gas charge $0.3940/therm also applied.
Monthly service charge = $15.95
Gas charge
Therm service charge
When
Total charge
When
Total charge
Therefore, the change in one month for using
(d)
To sketch: the graph of the function which is found in part (c).
(d)
Explanation of Solution
Given information:
Monthly service charge $15.95.
Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
Calculation:
The graph of the function
Chapter 2 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Pre-Algebra Student Edition
Thinking Mathematically (6th Edition)
Elementary Statistics
Basic Business Statistics, Student Value Edition
- Only 100% sure experts solve it correct complete solutions okarrow_forwardrmine the immediate settlement for points A and B shown in figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth of foundation (DF-0), thickness of layer below footing (H)=20m. 4m B 2m 2m A 2m + 2m 4marrow_forwardsy = f(x) + + + + + + + + + X 3 4 5 7 8 9 The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem and the Mean Value Theorem for f on the closed interval [0, 9] ? (A A B B C Darrow_forward
- = Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry 19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and (iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m below ground level. Assume F, = 2.5. Use Terzaghi's equations. 0 Ne Na Ny 35 57.8 41.4 42.4 40 95.7 81.3 100.4arrow_forwardQ1 The SPT records versus depth are given in table below. Find qan for the raft 12% foundation with BxB-10x10m and depth of raft D-2m, the allowable settlement is 50mm. Elevation, m 0.5 2 2 6.5 9.5 13 18 25 No.of blows, N 11 15 29 32 30 44 0 estigate shear 12%arrow_forwardQ2 A/ State the main field tests which may be carried out to investigate shear strength of a soil layer? B/ What are the main factors that affecting the spacing and number of boreholes for a given project? C/ Illustrate the causes of disturbance of Shelby tubes samples.arrow_forward
- Trolley of the overhead crane moves along the bridge rail. The trolley position is measured from the center of the bridge rail (x = 0) is given by x(t) = 0.5t^3-6t^2+19.5t-14 : 0 <= t <= 3 min. The trolley moves from point A to B in the forward direction, B to C in the reverse direction and C to D again in the forward direction. CONTROL PANEL END TRUCK- RUNWAY BEAM- BRIDGE RAIL HOIST -TROLLEY TROLLEY BUMPER TROLLEY DRIVE LPENDANT TRACK -TROLLEY CONDUCTOR TRACK WIRE ROPE -HOOK BLOCK -BRIDGE DRIVE -END TRUCK BUMPER -RUNWAY RAIL TROLLEY END STOP -CONDUCTOR BAR PENDANT FESTOONING TROLLEY FESTOONING PENDANT CABLE PENDANT x(t)=0.5t^3-6t^2+19.5t-14 v(t)=1.5t^2-12t+19.5 a(t)=(dv(t))/dt=3t-12 Fig. T2.2: The overhead crane Total masses of the trolley, hook block, and the load attached to the hook block are 110 kg, 20 kg, and 150 kg. Damping coefficient, D, is 40 kg/s. What is the total amount of energy required from the trolley motor to move the system [Hint: Use Newton's 2nd law to obtain the…arrow_forwardCONTROL PANEL- BRIDGE RAIL HOIST -TROLLEY TROLLEY BUMPER -BRIDGE DRIVE END TRUCK- RUNWAY BEAM- END TRUCK BUMPER -RUNWAY RAIL TROLLEY DRIVE TROLLEY END STOP -CONDUCTOR BAR LPENDANT TRACK TROLLEY CONDUCTOR TRACK -WIRE ROPE PENDANT FESTOONING TROLLEY FESTOONING -PENDANT CABLE -HOOK BLOCK PENDANTarrow_forwardchool Which of the following functions describes the graph of g(x)--2√9-x²+37 9 8 7 6 4 2 -10-9-8-7-6-5-4-3-2-1 1 -1 -2 -4 -6 10 9 8 B 5 4 3 3 6 -10-9-8-7-6-5-4-3-2-1 2 3 4 6 1 -2 4 -5 -6 -8 -9 -10 10 -10-9-8-7-6-5-4-3-2-1 9 8 Lessons Assessments 6 5 4 + 2 1 1 2 3 4 5 6 8 -1 2 4 -5 -B 8 10 10 9 8 7 6 5 4 3 2 1 -10-9-8-7-6-5-4-3-2-1 1 2 3 4 5 6 B 9 10 -1 -2 -3 -5arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning