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You throw the ball straight up from rooftop. Ball misses rooftop on its way down and ultimately strikes ground. Determine quadratic function y = ax2 + bx + c whose graph passes through given points.
If $4,000 is invested in the bank account at the interest rate of 7 per cent per year, determine amount in bank after nine years if interest is compounded annually, quarterly, monthly, and continuo
The car was worth at $38,000 in year 2003. Value depreciated to $11,000 by year 2009. suppose that car value continues to decrease by same percentage. Determine the value be in the year 2013?
Radioactive substance decays exponentially. Scientist starts with 100 milligrams of the radioactive substance. After 35 hours, 50 mg of substance remains. How many milligrams will stay after 54 hou
Amount of area covered by blackberry bushes in the park has been increasing by 12% each year. It is evaluated that area covered in 2009 was 4,500 square feet. Find area that will be covered in 2020.
How large the sample is required to be 90% confident that sample proportion will not vary from true proportion by more than 4%.
The ship leaves port at noon and has bearing of S 33° W. Ship sails at 20 knots. Determine how many nautical miles south and how many nautical miles west will ship have traveled by 6:00 P.M.?
Execute the indicated operation and state the result in form a + bi. (1 + 2 sqrt -3 )(2 - 3 sqrt -3). Discover all real numbers x and y which satisfy equation: -2x - 4 + 2yi = 3x - 2i.
When is angle in standard position? When are 2 angles co terminal? What units of measurements are utilized to determine angles?
Determine value of x (rounded to nearest item) which maximizes revenue and determine max revenue (rounded to nearest dollar).
Logistic growth models are usually used to explain animal populations or spread of the disease. What other kinds of problem situations could be efficiently modeled by the logistic growth function?
The six o'clock position on Ferris wheel is level with loading platform. Wheel completes 1 full revolution in 2 minutes. Determine time ride spent higher than 12 meters above the ground?
Estimate the equation for population, P, in terms of months since January, t. P(t) = What if lowest value of rabbit population happened in April instead?
House was valued at $120,000 in year 1987. Value appreciated to $175,000 by year 2003. Determine annual growth rate between 1987 and 2003?
Peanuts that cost $3.50 per lb are to be mixed with almonds that cost $8 per pound to make 20-lb blend which sells for $4.50 per lb. How many pounds of each must be used?
Where s is in meters and t is elapsed time in seconds. After how many seconds will ball reaches its maximum height? Determine the maximum height?
Wheel completes 1 full revolution in two minutes. Find how many minutes of ride are spent higher than 12 meters above ground?
Assume you know temperature differs between 62 and 88 degrees during day and average daily temperature first happens at 9 AM. How many hours after midnight, to 2 decimal places, temperature first re
Assume you know high temperature of 68 degrees happens at 6 PM and average temperature for day is 55 degrees. Compute temperature, to nearest degree, at 10 AM.
Population of rabbits oscillates 27 above and below the average of 107 during year, hitting lowest value in January (t = 0). Determine the equation for population, P, in terms of months since Januar
3 forces with magnitudes of 66 pounds, 78 pounds, and 132 pounds act on the object at angles of 130 degrees, 220 degrees, and 290 degrees, respectively. Estimate magnitude and direction of resultant
Describe why equation has more solutions for larger values of k than it has for small values. Estimate least value of k, if any, for which equation has the negative solution.
From the window in building, person finds out that angle of elevation to top of the tower is 33 degree and that angle of depression to bottom of tower is 22 degree. How tall is tower?
Determine relationship between a, b, A, and B which maximizes productivity where f(x,y)=cx^(a)y(b), a + b =1, and Ax + By=M is budget constraint.
The car is on the driveway which is inclined 4° to horizontal. The force of 480 lb is needed to keep car from rolling down driveway. Determine force car exerts against driveway.