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Assume you deposited $2000 in the savings account with the annual rate of interest of 1% compounded continuously. How much money will be in account in ten years?
Two tugboats which are 120 ft apart pull the barge. If length of one cable is 213 ft and length of other is 230 ft, determine angle formed by two cables.
Airport B is 300 mi from airport A at the bearing N 50 degrees E. Pilot wanting to fly from A to B wrongly flies due east at 200 mi/h for 30 minutes when he notices the error.
The wooden artifact from the archeological dig has 60% of carbon-14 which is there in living trees. How long ago was artifact made? (The half-life of carbon-14 is 5730 years.)
If detector will sound alarm whenever more than 2 milligrams of dye are in the system, how long will visit to doctor take, if you were given dye as soon as you arrived and amount of dye decays expon
Plot lies along the river so that only three sides require being fenced. Determine the largest area which can be fenced. Solve by completing square.
Theta is the acute angle and sin theta and cos theta are given. Utilize identities to determine indicated value. sin theta= -square root 7/4, cos theta=3/4. Find cot theta.
Which relationship provides point Q's horizontal distance (in inches) to right of vertical diameter of pinwheel as the function of time elapsed? How many radians does hour hand (short hand) of the cl
Assume the skier is circling the track with the 6 km radius. After leaving starting point, skier travels counter-clockwise for 2 km. Determine x and y coordinates of skier's location on circle of r
Measure of the angle is 3.2 radians. If vertex of angle is at center of the circle of radius r which formula explains relation between r and arc length s (the arc formed by angle)?
Determine vertices, foci, directrixes and sketch graph of curves given, describe all work and illustrate all steps taken in determining the vertices, foci , derectrixes. Illustrate all step.
Determine partial fraction decomposition of rational function. Illustrate all work. Compute linear programming problem, illustrate work.
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?