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Question 1164161: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function P(x)=R(x)-C(x). Given R(x)=60-0.4x^2 and C(x)=5x+15 , find each of the following.
a) P(x)
b) R(70), C(70), and P(70)
Click here to see answer by Boreal(15235)  |
Question 1164111: The monthly cost in dollars) of water use is a linear function of the amount of water used in hundreds of cubic feet, HCF). The cost for using 13 HCF of water is \$31.25 , and the cost for using 39 HCF \$76.75 What is the cost for using 29 HCF of water
Click here to see answer by Boreal(15235)  |
Question 1164211: The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once:
\[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Click here to see answer by ikleyn(52781)  |
Question 1164218: Wilson bought some flour. He gave 20% of the flour to mike and 25% to Mary. He gave them 72kg of flour in total. He then packed the rest of the flour in to 2 kg and 3 kg bags. There were twice as many 3 kg bags as 2 kg. How many 3 kg bags were there?.
Click here to see answer by Theo(13342)  |
Question 1164217: There are 1580 adults and children on a ship. 60% of them are adults.when the ship stops at the harbour, some of the adults alight and the percentage of the adults remaining on the ship decreases to 20%. How many adults alight from the ship......??
Click here to see answer by Theo(13342)  |
Question 1164217: There are 1580 adults and children on a ship. 60% of them are adults.when the ship stops at the harbour, some of the adults alight and the percentage of the adults remaining on the ship decreases to 20%. How many adults alight from the ship......??
Click here to see answer by MathTherapy(10552)  |
Question 1164285: A box contained some red and green beads . 40% of beads were red. The red beads were increased by 25% and 20% of green beads were removed. As a result there were 200 red beads. How many red beads are there at first?..
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Question 1164284: In 2002, a salesman’s monthly income was $1500 for the first 6 months. It was 25% less for the rest of the year. His total income was 20% more than his total income in 2001. Find the average monthly income in 2001.?.
Click here to see answer by ikleyn(52781)  |
Question 1164286: Margaret bought 150 kg of beans of which 20% were red beans, 10% were green beans and the rest were black beans. She changed her order such that the percentage of red beans increased to 30% and the order of black beans was reduced by 20%. What percentage of green beans did she have after she changed the order...?..
Click here to see answer by Theo(13342)  |
Question 1164286: Margaret bought 150 kg of beans of which 20% were red beans, 10% were green beans and the rest were black beans. She changed her order such that the percentage of red beans increased to 30% and the order of black beans was reduced by 20%. What percentage of green beans did she have after she changed the order...?..
Click here to see answer by josgarithmetic(39617) |
Question 1164368: Benny’s income in 2009 was $1200 for the first 8 months.It was 25% less for the rest of the year. His total income in 2009 was 10% more than his total income in 2008. Find his average monthly income in 2008.
Click here to see answer by Theo(13342)  |
Question 1164370: Jane and Tom had some sweets each. Jane gave 1/2 of what she had to Tom. Then Tom gave 1/3 of what he had to Jane. Jane then gave 1/2 of what she had to Tom. As a result Jane had 54 sweets and Tom had150 sweet. How many sweets did Tom have at first?
Click here to see answer by Theo(13342)  |
Question 1164370: Jane and Tom had some sweets each. Jane gave 1/2 of what she had to Tom. Then Tom gave 1/3 of what he had to Jane. Jane then gave 1/2 of what she had to Tom. As a result Jane had 54 sweets and Tom had150 sweet. How many sweets did Tom have at first?
Click here to see answer by MathTherapy(10552)  |
Question 1164369: Sandy had some apples and Pears. After selling 1/3 of the apples and 7 pears, the number of pears left was a quarter of the number of apples left. If the number of pears sold was 1/6 the number of the pears that were not sold, how many pears did Sandy have at first??
Click here to see answer by Theo(13342)  |
Question 1164369: Sandy had some apples and Pears. After selling 1/3 of the apples and 7 pears, the number of pears left was a quarter of the number of apples left. If the number of pears sold was 1/6 the number of the pears that were not sold, how many pears did Sandy have at first??
Click here to see answer by MathTherapy(10552)  |
Question 1164445: The Hawaii Natural Energy Institute tested a 100 kW OTEC system (ocean thermal energy conversion). The surface temperature is 30 degrees C and at a depth of 1 km the temperature is 10 degrees C. Calculate the maximum theoretical efficiency of this OTEC engine. Remember you have to use degrees K.
Click here to see answer by ikleyn(52781)  |
Question 1164524: Suppose A is a square matrix. Prove that there is a symmetric matrix B and a skew-symmetric matrix C such that A = B + C. In other words, any square matrix can be decomposed into a symmetric matrix and a skew-symmetric matrix (Proof Technique DC).
Click here to see answer by ikleyn(52781)  |
Question 1164560: Eduardo has $8500.00 to invest. He invests 75% of his money in Fund A and 25% in Fund B. Fund A earns 3.5% simple interest annually, while Fund B earns 4.2% simple interest annually. After two years, how much money will Eduardo have?
Click here to see answer by ikleyn(52781)  |
Question 1164607: An online job search state charges employers fees to post job listings. The price for posting one job is $495.00. If four jobs are posted, The price per job is $450. What is the percent discount? (Round to the nearest 10th of a percent.)
Click here to see answer by Boreal(15235)  |
Question 1164613: Cherie accepted a job through an employment agency. The job pays $1,100 weekly. The agency charges 22% of her first three months pay. How much money will the employment agency received for placing cherie in her new job? (round to the nearest dollar.)
Click here to see answer by Boreal(15235)  |
Question 1164760: A major shipping company is planning to purchase new cargo ships. It wants to borrow $1100 million by issuing bonds. The bonds are for a 15-year period with at a rate of 9 percent per year compounded quarterly. Interest is to be paid each quarter to bondholders. How much will the company have to pay in quarterly interest? How much interest will it pay over the 12-year period?
Click here to see answer by solver91311(24713)  |
Question 1164766: Suppose that a right triangle has opposite side angle theta of length 6 and a hypotenuse of length 2 square root 10. (a) draw this triangle and compute the length of the missing side (the side adjacent to theta) (b) compute the six trigonometric ratios of theta.
Click here to see answer by ikleyn(52781)  |
Question 1164778: A particle sliding down an inclined plane travels 2 feet the first second. In any second after the first it slides 4 feet farther than it did in the preceeding second.
A.) How far will it slide in the 7th second?
B.) How far will it slide in 7 seconds?
C.) How long will it take to slide 128 feet?
Click here to see answer by Theo(13342)  |
Question 1164781: A six by eight grid is constructed with 48 small squares in a rectangle with a line diagonal from the top left to bottom right. The corners are marked A (top left), B (bottom left), C (bottom right) and D (top right). If the diagonal of one of the small squares is 6 Cm, what is the length of diagonal AC?
Thanks!
Click here to see answer by solver91311(24713)  |
Question 1164781: A six by eight grid is constructed with 48 small squares in a rectangle with a line diagonal from the top left to bottom right. The corners are marked A (top left), B (bottom left), C (bottom right) and D (top right). If the diagonal of one of the small squares is 6 Cm, what is the length of diagonal AC?
Thanks!
Click here to see answer by greenestamps(13200)  |
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