You win a $10,000 prize that you decide you want to invest so that the investment pays out $660 a year in interest without using any of the principal- You will use this money for birthday gifts! Your financial advisor advises you to put part of it in a bank at 5 percent interest. He puts the remainder in bonds, which pay a 9 p
Solve using the square root property: (x + 4)^2 = 81
Given the following values 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, x, and y, form: A linear equation in one variable A linear equation in two variables (must have in at least 3 terms) A quadratic equation (must have in at least 3 terms) A polynomial function of three terms An exponential function A logarithmic func
If there were no air resistance, then the height (in feet) above the earth for a skydiver t seconds after jumping from an airplane at 10,000 feet would be given by h(t)=16t^22 + 10,000. (See the attached question file)
19. A boat travels 60 km upstream (against the current) in 5 hours. The boat travels the same distance downstream in 3 hours. What is the rate of the boat in still water? 20. A duck can fly 2400 m in 10 minutes with the wind. Against the wind, it can fly only 2/3 of this distance in 10 minutes. What is the rate of the wind?
Please show the setup and the solution of this problem for each section.
Please show me the step wise solution for each section of this question. Please see both attachments. Second attachment has the third section of this question.
Six dozen equally priced oranges cost a total of n dollars. In terms of n, what is the cost, in cents, of one orange. a. 25n/18 b. 18n/25 c. n/72 d. 72/n
1) A container is partially filled with 12 liters of whole milk containing 4% butterfat. How much 1% milk must be added to get a mixture that is 2% butterfat? Construct a table, then solve. 2) An 80-pound grass seed mixture is 30% bluegrass seed. How many pounds of seed containing no bluegrass seed (0%) should be added to th
Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2 = 27,000.
A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?
Question 1: Write the word name for the number: 6,703,900,090. Question 2: Write this whole number in standard form: One hundred million, six thousand Question 3: Tammy wanted to determine the gas mileage she was getting on her car. She filled the gas tank on her car when the odometer read 49,420 miles.
1. 2/9 = x/4 2. 3x-1/4 + x/2 = 3/8 3. x+3/4 - 2 = 5x-2/5 4. 1/9 + 1/x = 4/9
X+3/X - X+2/X+5 = 1/X A x = 1 B x = -1 C x = 2 D x = -2 E x = 4 F x = -4
The Schwarzschild radius describes the critical value to which the radius of a massive body must be reduced for it to become a black hole. R = 2 G M / c 2 where G = gravitational constant 6.7x10 -11 M= mass of the object C = speed of light 3x10 8 The sun has M = 2x10 30 . What is the Schwarzschild radius for th
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
Solve. Jennifer bought 22 quarts of milk for the day care center where she works. Her co-worker Henri, who is from France, says that the center will only need 12 liters of milk. How many extra quarts of milk did Jennifer buy?
A cruise line is building a new ship. Choose the most reasonable measurement for its weight.
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
Find the slope of the line passing through the points (3, -3) and (3, -5).
Five questions (on interpreting limits) are in the attached file.
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
Solve. x2 = -6x
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 )
Please see attached file.
Solve the system, using Cramer's rule, if possible. 6x - y - 5z = 27 -8x + 2z = -56 4y + z = 8
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