1. Allen bought 20 stamps at the post office in 37¢ and 20¢ denominations. If the total cost of the stamps was $7.06, how many 37¢ stamps did Allen buy? 2. The profit on a watch is given by P = x2 - 5x - 9 and where x is the number of watches sold per day. How many watches were sold on a day when there was a $15 loss?
1) Solve by the substitution method 7x+5y=-12 -8x+y=54 What is the solution of the system? ( use an ordered pair. Use N if there is no solution) 2) Soybean meal is 18% protein; cornmeal is 9% protein. How many pounds of each should be mixed to gather in order to get 360 lb mixture that is 11% protein? a. How many pounds
Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic. 1) x2 + 12x - y + 30 = 0 Find the equation of the parabola determined by the given information. 2) Vertex at the origin, focus at (0, 3) Find the equation of the hyperbola. 3) Vertices at (0, 8) and (0, -8), fo
The Quick Mix Boxer Food Company wishes to introduce a package of dog treats which contains two new flavors of dog biscuits; liver and chicken which must meet certain nutritional requirements. The liver flavored biscuits contain 1 unit of nutrient A and 2 units of nutrient B, while the chicken flavored biscuits contain 1 unit
State the placement of the horizontal asymptote and y-intercept after the transformation. For example, left 1 or rotated about the y-axis are descriptions. a) g(x)=e^x-5 description of transformation: equation(s) for the horizontal asymptote(s): y-intercept in (x,y) form: b) h(x)=-e^x description of transformation: equat
Part 1 "Loudness" is measured in decibels, DB. I = I0 * 10 DB/10 (also typed as I =I0*10^(DB/10)) gives the intensity, I, of sound, where I0 is the intensity of the threshold of sound, or the sound that can barely be perceived. Using the library, web resources, and/or other materials,find the measure, in decibels, of a sound
Multiply out ( x + 6 )( x3 - x2 - 5x + 1 )
Part 1: The equation A=(LP)/2-L^2, gives the area of a rectangle of perimeter P and length L. Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and show all
Find the most recent report of the annual inflation rate of a country of your choice as well as the type of currency used in that country. The equation S=C(1+r/100)^5 is to find the inflated cost S, in 5 years, of an item, good or service, where C is the current price of that item in that country's currency and where the inflati
Please see an attachment. 1) Describe the transformations on the following graph of f(x) = e^x . State the placement of the horizontal asymptote and y-intercept after the transformation. For example, left 1 or rotated about the y-axis are descriptions. a) g(x) = e^x - 2 b) h(x) = - e^x 2) Describe the transformations
Archimedes found his approximation to Pi by inscribed polygons. Start with a circle of radius 1 and a suitable starting polygon and solve for an inscribed polygon of 96 sides. Next, start with a unit circle and appropriate inscribed regular polygon to approximate Pi using a regular inscribed n-gon with 4096 sides.
Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land.
Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land. Choose any two lengths for a rectangle and find the corresponding area for each using the given equation. Include units and show all calculations. Which of the two lengths that you chose gives a larger area? What is the corres
1. Consider the LP Max z=c1x1+2x2+c3x3 Subject to x1 + 5x2+a1x3 ≤ b1 X1-5x2+a2x3≤ b2 X1, x2, x3 ≥ 0 The optimal tableau for this LP is 1 d1 2 1 0 30 0 d2 -8 -1 1 10 ------------------------------------ 0 d3 -7 d4 0 z - 150 Without u
I need to write 3 multi-step word problems with answers. One must use percentages, one must use exponents and the third can be any type. I have to include the process for solving each of the problems. The word problems don't have to be very difficult.
1.The speed at which light travels is approximately 3.0 × 105 kilometers per second. How far will light travel in 1.5 × 101 seconds? 2. The distance from Earth to the planet Jupiter is approximately 4.5 × 108 miles. If a spaceship traveled at a speed of 2.5 × 104 miles per hour, how many hours would it take the spaceshi
Gaining and losing weight are matters of caloric accounting: Calories in the food you eat minus Calories that you spend in activity. One pound of human body fat contains approximately 3,500 Calories. Based on information provided: Running 7 minute miles burns 979 calories per hour. Swimming at 2mph burns 408 calories per
Factor completely: 4k2 + 12k + 9 a. ( 2k - 9 )( - 3k + 1) b. ( 2k + 3 )2 c. ( 2k - 3 )2 d. ( 2k + 3 )( 2k - 3) Question 2 Factor completely: x2 - 100 a. ( x + 10 )( x - 12 ) b. ( x + 10 )( x + 10 ) c. ( x - 10 )( x - 10 ) d. ( x + 10 )( x - 10 )
An application of a rational function is Young's rule, which approximates the dosage of a drug prescribed for children.
Part 1: An application of a rational function is Young's rule, which approximates the dosage of a drug prescribed for children. a) Using the Library, web resources, and/or other materials, find the equation for Young's rule. State what each variable in the equation represents. Do not type the equation using the Equatio
1. How do you determine the vertical asymptotes, given the equation of a rational function? Illustrate with an example. Why can't the graph of that function cross the assymptote? Describe what happens to the graph of a function as the value of the independent variable approaches its vertical asymptote. 2. How do you determin
Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% profit on the other
An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork. A professor starte
Population decline modeled by a rational equation P = P Suppose instead that the Population decline modeled by a rational equation P = P Suppose instead that the town experiences population decline that can be modeled by the following: P=P0/t+1 where t is the number of years from 2010.he town experiences population decline tha
Choose the amount of population growth each year = example 350 (Hint: Choose a whole number for your growth rate, rather than a percent.) a) Fill in the following chart: Year (t) Population (P) t=0 P = 350 (2010) t=1 (2011) t=2 (2012) t=3 (2013) t=6 (2016) b) Find a linear equation in the form P
1. Word problems seem to daunt practically everyone. Discuss why they seem intimidating to you (or why not, if they don't). Do you believe that most of the problems we face in our daily life are word problems? Examples? 2. You are in the wonderful position of having to select a job from one of two offers you have just recei
Please help with Linear Growth problem. All I need is explanation of the concept amd formula. I want to be able to explain how I came up with the answer. Please see attached file. A town has a initial population of 2000 and Population Growth each year of 100. Suppose instead that the town experiences growth that can be m
You need to choose between two telephone plans for local calls. Plan A charges $25 per month for unlimited calls. Plan B charges a monthly fee of $ 13 with a charge of $0.03 per local call. How many local telephone calls in a month make plan A the better deal?
Describe a strategy (maybe with equations) to estimate the number of road signs (not advertisements) on interstate 95 that runs from South Florida to New England. One may assume 1800 miles.
Methodical thinking, even if the answer is wrong.. Make some assumptions with out the use of the internet or anything else Give reasons to conclusions conclude argument How can assumptions be improved? 1.)Describe a strategy (maybe with equations) to estimate the number of road sig
Measurements and Calculations When making measurements, round each measurement to the nearest 1/4 foot. Part 1-Walls Calculate how much paint you will need to paint the walls of this room. To properly paint the walls, you will need to put one coat of primer paint and two coats of finish paint. For each calculation, briefly
Question: In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50. The first car has consumed 20 gallons during that week, and the second has consumed 25 gallons, for a total of 1175 miles driven by the two cars combined. What was the average gas mileage obtaine