Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

Solve the problem,
1) A stack of poles has 22 poles in the bottom row, 21 poles in the next row, and so on, with 6 poles in the top row. How many poles are there in the stack?

2) In the formula N = Iekt> N is the number of items in terms of an initial population I at a given time t and k is a growth constant equal to the percent of growth per unit time. How long will it take for the population of a ce n country to double if its annual growth rate is 2.5%? Round to the nearest year.

3) A rectangular piece of cardboard measuring 26 inches by 42 inches is to be made into a box with an open top by cutting equal size squares from each comer and folding up the sides.
Let x represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.

4) A rectangular piece of cardboard measuring 15 inches by 24 inches is to be made into a boxwith an open top by cutting equal size squares from each comer and folding up the sides.
Let x represent the length of a side of each such square. For what value of x will the volume be a maximum? If necessary, round to 2 decimal places.

5) Northwest Molded molds plastic handles which cost $0.70 per handle to mold. The fixed cost to run the molding machine is $5799 per week. If the company sells the handles for $ 3.70 each, how many handles must be molded weekly to break even?

6) The volume V of a 19-gram object varies inversely with the density Q in grams per milliliters, V = 19/Q. Find lim V.

7) At what interest rate must $4800 be compounded annually to equal $9051.12 after 13 yr? 11) (Round to the nearest percent.)

8) The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If V = 550.0 in.3 when T = 500° and P = 10 lb/in .2, what is the volume when T = 350° and P = 15 lb/in.2?

9) The time it takes to complete a certain job varies inversely to the number of people working on that job. If it takes 36 hours for 9 carpenters to frame a house, then how long will it take 63 carpenters to do the same job?
The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 4x - x2. What rainfall produces the maximum number of mosquitoes?

10) The intensity I of light varies inversely as the square of the distance D from tine source. If 16) the intensity of illumination on a screen 5 ft from a light is 4 foot candles, find the intensity on a screen 20 ft from the light.

11) Sketch a graph that depicts the amount of water in a 50-gallon tank during the course of the described pumping operations. The tank is initially full, and then a pump is used to take water out of the tank at a rate of 4 gallons per minute. The pump is turned off after 5 minutes. At that point, the pump is changed to one that will pump water into the tank. The change takes 2 minutes and the water level is unchanged during the switch. Then, water is pumped into the tank at a rate of 3 gallons per minute for 3 minutes.

12) In September 1998 the population of the country of West Goma in millions was modeled 21) by f(x) = 16.9e0-0019x_ At the same time the population of East Goma in millions was modeled by g(x) = 13.5e0-0106x_ In both formulas x is the year, where x = 0 corresponds to September 1998. Assuming these trends continue, estimate what the population will be when the populations are equal.

13) Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by ln(l - P) = -0.0025 - 0.0056x, where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when x = 44. Round to three decimal places.

14) John has a jarful of quarters and nickels. There are 111 coins in the jar. The value of the coins is $16.75. How many of each type of coin are there?

15)  Hie gravitational attraction A between two masses varies inversely as the square of the distance between them. The force of attraction is 4 lb when the masses are 3 ft apart, what is the attraction when the masses are 6 ft apart?

16) Assume that the sales of a certain appliance dealer are approximated by a linear function.Suppose that sales were $8500 in 1982 and $51,000 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales y.

17) Employees of a publishing company received an increase in salary of 6% plus a bonus of $500. Find the new salary if the old salary was $23,000.

18) Georgianna Petrillo's Pizza Parlor had startup costs of $5900, The material for each pizza cost $4.50. She sells each pizza for $10. Express the revenue R as a function of x, where x is the number of pizzas sold.

19)The graph below depicts the annual coat production at the Warm Fuzzy Coat Factory during the years from 1988 to 1997. Solve the problem.

145_Cost production graph.jpg

Use interval notation to represent the years when production of wool sport coats was greater than or equal to the production of polyester sport coats. Include both endpoints of the interval.

20) Vertex: (2,3) point: (1,4)    Find the linear equation that meets the stated criteria.

21) The linear equation y = 243x + 6320 provides an approximation of the annual cost (in dollars) to rent an apartment at the Leisure Village Retirement Community, where x = 1 represents 1985, x = 2 represents 1986, and so on. prepare an equation that yields the same y-values when the exact year number is entered. Provide an appropriate response.

Math, Academics

  • Category:- Math
  • Reference No.:- M9862

Have any Question? 


Related Questions in Math

Graphing the linear inequalities in two variables test

Graphing the linear inequalities in two variables, Test Points, Shading the solution set. Explain and provide an example of the method used to solve a  single linear inequality  in two variables in the Cartesian Coordina ...

1 in how many years will 100000 grow to 2000 at 36

1. In how many years will $1000.00 grow to $2000 at 3.6% compounded quarterly? Answer with 2 decimal places. 2. A loan of $2000 taken out today is to be repaid by a payment of $1200 in six months and a final payment of $ ...

Find the average rate of change of gx-x24x2 from x3 to x7

Find the average rate of change of =gx+-x2+4x2 from =x3 to =x7. Simplify your answer as much as possible.

Find the amount that a principal of 800 will accumulate in

Find the amount that a principal of $800 will accumulate in 12 years for each given account: a. 7% simple interest b. 7% compounded quarterly c. 7% compounded monthly

How many four letter arrangements can be made using the

How many four letter arrangements can be made using the letters in the word Alaska?

A city has a population of 380000people suppose that each

A city has a population of 380,000people. Suppose that each year the population grows by 8%. What will the population be after 10 years?

In a set of 105act scores where the mean is 22and the

In a set of 105ACT scores, where the mean is 22and the standard deviation is 5.39,(a) how many scores are expected to be lower than 16.61(one standard deviation below the mean)? (b) How many of the 105scores are expected ...

Business ethicsprepare a code of ethics for a fictional

Business Ethics Prepare a code of ethics for a fictional company, which should include a minimum of 10 elements. Once you have compiled the code of ethics, respond to the following questions: 1. Why did you include each ...

A printing press has a roller 13 inches in diameter the

A printing press has a roller 13 inches in diameter. The speed of a point on the roller's surface moves at 94 feet per second. What is the roller's angular speed? (Round to the nearest tenth as needed.) Answer in Radians ...

Your financial situation and plansreflect on all that you

Your Financial Situation and Plans Reflect on all that you have learned in this course. Summarize your financial situation and plans. Be sure to include plans for budgeting, saving, debt and credit, taxes and insurance, ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro