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The open-top box is to be made from the 4 in by 14 in rectangular sheet of tin by cutting out squares of equal size at every corner. What, approximately, is maximum volume of box?
If the merchant deposits $2,100 annually at the end of every tax year in IRA account paying interest at rate of 8%/year compounded annually, how much will she have in account at end of twenty year?
Box is to be made out of the piece of cardboard which measures 48 by 72 inches. Write the formula for volume, V, of box as the function of x.
Determine vertical rise (to nearest foot) for the ski lift with slope length 2050 feet suppose that angle formed by the horizontal line at top terminal and lift cable is 50 degrees.
The annual return from one of them was 8% and other paid 10.5% for year. He got the total income of 2550 from both investments. How much did he invest at rate?
Solve for remaining angles and side of triangle which can be created. C = 140 degree, b = 1, c = 9 Construct a triangle, if possible, using given information. A = 108 degree, a = 9, b = 8.9.
Scientist starts with 100 mg of the radioactive substance. After four hours, it has decayed to 80 mg. How long after process started will it take to decay to 15 mg?
Then (a) utilizing known theorems, illustrate that function g(x) is continuous at points where x is not equal to 0 and (b) For which value of a is function also continuous at x=0?
Assume tip of minute hand of the clock is 2 in. from center of the clock. For given duration, find the distance traveled by tip of minute hand. (- 40 min ).
Find whether given measurements make one triangle, 2 triangles, or no triangle at all. Solve triangle that results. a = 30, b = 40, A = 20°
Assume you have 132 feet of fencing with which to make 2 side by side rectangular enclosures against on existing wall. If enclosures are adjacent and of same depth compute the maximum area.
How many computers can the trainee be predictable to test after two days of training? How many days will it take until the average trainee can be anticipated to test 40 computers per day?
How many years will it take for amount of money in account to double? Use above process to find an exact solution and check solution using approximation of the "law of 72".
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.