Question

In: Math

2. The Cost, $C, of hiring a repairman for H hours is given by C =...

2. The Cost, $C, of hiring a repairman for H hours is given by C = 50 + 25h.

A. What does the repairman charge to walk in the door? B. What is his hourly rate?

3. The population a town, t years after it is founded, is given by P(t) = 5000 + 350t.

A. What is the population when it is founded? B. What is the population of the town two years after it is founded?

4. Find the slope and Y-intercept for each of the following:

a. -2y= -5x+9

b. Y = -16 - 4(-5 -3x)

c. 4x + 3y =-12

d. 5y - 3x - 10 = 0 5.

Find the equation of a line that passes through (6,7) and (6,1)

6.Find an equation of a line that is parallel to 3x + 5y = 6 and passes through (0, 5)

7. The total cost C of a yellow cab call lasting N minutes is $4.75 plus an additional charge of $2.50/mile.

A. Use a linear equation to describe the scenario B. How long was the cab ride if the total cost of the fare was $38.50?

Solve the following system of equations algebraically and check

a. 7x + 5y = -1

11x + 8y = -1

b. 5x + 2y = 1

2x - 3y = 27

8. Solve the following system of equationss graphically.

Y = -2X + 7

Y = 4X + 11

Solutions

Expert Solution

Q2 The Cost, $C, of hiring a repairman for H hours is given by

C = 50 + 25h

A) the repairman charge to walk in the door, That is when he yet to start work(h=0)

C=50+25*0

C=50

Hence the repairman charge to walk in the door is $50.

B) The repairman charge fixed amount into the door. And his per hour charge is $25

Q3. The population of a town, t years after it is founded, is given by P(t) = 5000 + 350t.

A) the population when it is founded =5000

B) the population of the town two years after it is founded is given by:

that is when t=2

P(t) = 5000 + 350*2

P(t) = 5000 + 700

P(t) = 5700

Q4.

a) given equation is

-2y= -5x+9

that is y=(5/2)x-(9/2)

hence slope=(5/2) and y-intercept -(9/2)

b. y = -16 - 4(-5 -3x)

that is y=-16+20+12x

y=12x+4

hence slope=12 and y-intercept 4

c. 4x + 3y =-12

3y=-4x-12

y=(-4/3)x-3

hence slope=(-4/3) and y-intercept -3

d. 5y - 3x - 10 = 5

5y=3x+15

y=(3/5)+3

hence slope=(3/5) and y-intercept 3


Related Solutions

Suppose coke (c) and hamburgers (h) provide a consumer utility of U(c,h)= (c∗h)^1/2 (a) If coke...
Suppose coke (c) and hamburgers (h) provide a consumer utility of U(c,h)= (c∗h)^1/2 (a) If coke costs 1 TL and hamburger costs 25 TL, how should this consumer spend 100 TL that his mother gives him to maximize his utility? (b) Suppose government wants to discourage coke consumption by taxing coke by 3 TL. From the point of consumer is it better to tax coke or to tax income?
A monopolist has a cost function given by c(?)=?2 and faces a demand curve given by...
A monopolist has a cost function given by c(?)=?2 and faces a demand curve given by P(?)=120−y. (a)What is its profit-maximizing level of output? What price will the monopolist charge? (b)Calculate the deadweight loss imposed by the monopolist. Show also the deadweight loss in a graph (c)If you put a lump sum tax of $100 on this monopolist, what would its output be? (d)Suppose that you put a specific tax on the monopolist of $20 per unit output. What would...
. A monopolist has a cost function given by c(y) = 0.5y 2 and faces a...
. A monopolist has a cost function given by c(y) = 0.5y 2 and faces a demand curve given by P(y) = 120 − y. What is its profit-maximizing level of output? What price will the monopolist charge? • If you put a lump sum tax of $100 on this monopolist, what would its output be? • If you wanted to choose a price ceiling for this monopolist so as to maximize consumer plus producer surplus, what price ceiling should...
For the given cost function ,C(x)=3136+787x+x^2 a) The average cost at the production level 49 is...
For the given cost function ,C(x)=3136+787x+x^2 a) The average cost at the production level 49 is b) The marginal cost at the production level 49 is c) The production level that will minimize the average cost is
The percentage composition by mass of a certain fuel is given as C 90%, H 3.5%,...
The percentage composition by mass of a certain fuel is given as C 90%, H 3.5%, O 3% and remainder is incombustible. The fuel is burnt in air and the resulting dry analysis gave the following result by volume: CO2 12.7%, O2 7%, N2 remainder. a. Find the mass of air supplied per kilogram of fuel b. If the fuel is completely burned with air (there is no unburned fuel in the exhaust gas), what is the expression that describes...
The percentage composition by mass of a certian feul is given as C 90%, H 3.5%,...
The percentage composition by mass of a certian feul is given as C 90%, H 3.5%, O 3% and remainder is incombustible. The fuel is burnt in air and the resulting dry analysis gave the following result by volume: CO2 12.7@, O2 7%, N2 remainder. a) find the mass of air supplied per kilogram of fuel. b) Determine the percentage excess air.
A pump curve provided by a manufacturer is given by h= 20[1 − (Q/100)2] where h...
A pump curve provided by a manufacturer is given by h= 20[1 − (Q/100)2] where h is the head provided by the pump in meters and Q is the discharge in liters per minute. The system curve for a pumping application is h= 5+0.002Q2 (Q in liters per minute).Find the Operating point (Q) for one pump two pumps connected in series two pumps connected in parallel
Here is the equation 2 C 4 H 10 (g)+13 O 2 (g)→10 H 2 O(g)+8C...
Here is the equation 2 C 4 H 10 (g)+13 O 2 (g)→10 H 2 O(g)+8C O 2 (g) Calculate the mass of water produced when 1.20 g of butane reacts with excess oxygen. Calculate the mass of butane needed to produce 68.0 g of carbon dioxide.
Calculate the ΔH for the reaction. ​2 C (s) + 3 H​2 (g) + 1/2 O​2...
Calculate the ΔH for the reaction. ​2 C (s) + 3 H​2 (g) + 1/2 O​2 (g) = C​2H​5OH (l) ​Given the following information: ​C (s) + O​2 (g) = CO​2 (g)                    ΔH​ = -393.5 KJ/mole ​2 H​2 (g) + O​2 (g) = 2 H​2O (l)                ΔH = -571.6 KJ/mole ​C​2H​5OH (l) + 3 O​2 (g) = 2 CO​2 (g) + 3 H​2O (l)   ΔH​ = -1367.5 KJ/mole
in C++ Compile and run the program for the following values: r = 2 Cm, h...
in C++ Compile and run the program for the following values: r = 2 Cm, h = 10 Cm. The answer should be: The cross section area of the cylinder is 3.8955634 c The side area of the cylinder is 19.474819 inch-sqr Did you get the same answer? Explain the reason for such an error and fix the problem. Modify the previous program to include a new function called total_area, that computes the total suface area of a cylinder. The...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT