Maximum revenue

The manager of a large apartment complex knows from experience that 110 units will be occupied if the rent is 420 dollars per month. A market survey suggests that, on the average, one additional... more

1. What is (2, - p/6) in rectangular coordinates?

1. What is (2, - π/6) in rectangular coordinates? 2. What is the vertex of f(x) = x2 + 3x + 2?3. The half-life of carbon 14 is 5,730 years. How old is a bone that has 70% of its original carbon... more

How long will it take to fill the tank with all three pipes open?

Water from a tank is being used for irrigation while the tank is being filled. The two inlet pipes can fill the tank in 6 hours and 12 hours, respectively. The outlet pipe can empty the tank in 24... more

How many different four-card hands that contain at most two hearts can be dealt from a standard deck of playing cards?

I am in grade 11 IB math and the unit is counting methods

10/27/15

dave and sandy can pint a room in 4 hours. woking alone, dave can do it in 2 hours less time than sandy can. find how long sandy takes alone.

normally I'm good with word problems but this one has me turned around. dave and sandy can pint a room in 4 hours. woking alone, dave can do it in 2 hours less time than sandy can. find how long it... more

10/27/15

Taxi costs

In one US city, the taxi cost is $3 plus $0.60 per mile. If you are traveling from the airport, there is an additional charge of $4.50 for tolls. How far can you travel from the airport by taxi for... more

10/26/15

Manufacturing, no solid numbers except the sum.

A manufacturer produces three models of DVD Players in a year. Four times as many of model A are produced as model C, and 7000 more of model B than C. If the total production for the year is 97 000... more

how much time will be needed for $32,000 to grow $34,299.49 if deposited at 7% compounded quarterly

my calculator keeps giving me the answer in scientific notation and that is no correct. i know how to do the problem but for some reason i cannot get the right answer.

throwing a softball

Adela throws a softball straight into the air. The ball leaves her hand when it is exactly 5 ft from the ground. The height h of a ball, in feet, can be written as a function of time t, in seconds,... more

10/25/15

Derive the equation of the parabola with a focus at (–2, 4) and a directrix of y = 6. Put the equation in standard form.

Hi, I am struggling with how to solve this problem. I would really appreciate the help, thanks!

Bulldozers

The expresion P(x) = 2500x - 2x2 describes the profit of a company that customizes bulldozers when it customizes x bulldozers in a month. How many bulldozers per month must the company customize to... more

Toy Rockets

A toy rocket is fired upward from the ground. The relation between its' height h, in feet, and the time t from launch, in seconds, can be described by the equation h(t)=-16t2 + 64t. How long does... more

10/23/15

How do you set up the formula to the word problem below?

rosalinda invested some of her $15000 in bonds that made 6% profit and the rest in bonds that made a 10% profit. If the profit on the 10% bonds was $1000 more than the profit on the 6% bonds, how... more

10/23/15

pablo can drive 3 times as fast as pedro can ride his bike if it takes pedro 2 hrs longer than pablo to travel 84 miles how fast can pedro ride his bike

pablo can drive 3 times as fast as pedro can ride his bike if it takes pedro 2 hrs longer than pablo to travel 84 miles how fast can pedro ride his bike

1/8sin29.5cos29.5

I know that i should multiply something to it for it to become 2sinAcosA for me to be able to solve it. Unfortunately, if i multiply2/2 to it will just become 2/16 that will just bounce back to 1/8... more

Sketch the graph of g (x)=x^3-2x^2+x/x^2-1

State where each type of asymptote/hole exists and state the domain and range and show work for all

10/21/15

Ratio Word Problem

Glob mixture is made by mixing glue and corn starch in a ratio of 3 to 2. How much glue and how much corn is needed to make 85 cups of mixture.

Parents set up a trust fund for their children last year. Part of it is earning 8% simple interest per year while the rest of it is earning 5% simple interest p

Parents set up a trust fund for their children last year. Part of it is earning 8% simple interest per year while the rest of it is earning 5% simple interest per year. They placed $5000 in the... more

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a small company invested 50000 into two accounts; a savings account that earned 3.9% annual simple interest adn in a stockfun that earned 10.5% annual simple interest. If the company earned $2940... more

10/21/15

The revenue "R" in dollars received for selling x electronic components is R(x)= 2x (50-x)

The revenue "R" in dollars received for selling x electronic components is R(x)= 2x (50-x) a. Evaluate R(30) and interpret the result b. what number of components sold would maximize the... more

10/21/15

Graphing ellipses

Find the vertices, foci, center, lengths of major and minor axes, for each ellipse with the equation given below. Also graph each ellipse   x^2/16+y^2/36=1   4x^2+25y^2=100   (x+3)^2/5 +... more

10/20/15

the sum of the lengths of any 2 sides of a triangle must be greater than the third side. one side is 17cm and second side is 1 cm less than twice the third side

the sum of the lengths of any 2 sides of a triangle must be greater than the third side. one side is 17cm and second side is 1 cm less than twice the third side. what are the possible lengths for... more

Find the given term of each arithmetic sequence

-30,-22,-14,-6,...; 20th term

How far is the ship from the port and what are the bearings from the ship to the port at 7pm?

A ship leaves a port at noon at a speed of 10 knots due west. After 4 hours the ship speeds up to 15 knots and changes direction to due south. How far is the ship from the port and what are the... more

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