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Find how much club must invest in every kind of stock if investment goal is to have the return of $19,000/year on total investment. suppose that all money available for investment is invested.
If account earns interest at rate of 6%/year compounded quarterly, how much will Luis have in account at time of retirement? Use compound interest formula and annuity formula.
Find how much money commission must have in bank initially to guarantee payments, suppose that balance on deposit with bank earns interest at rate of 6%/year compounded yearly.
The rectangular lettuce patch, 220 square feet in area, is to be fenced off against rabbits. Determine least amount of fencing needed if one side of land is already protected by the barn.
The certain radio isotope has the half-life of approximately 1,650 years. How many years would be needed for the given amount of isotope to decay to 65% of that amount?
You should run the wire from amplifier to speaker, and wire should run along floor or walls (not through air). Find absolute shortest length of wire you can use for connection?
The point moves so that its distance from point (-3,2) is always one half of the distance from line y=-4. Derive equation of the locus. Write it in general form multiplied out equal to 0 with intege
If you were provided, say: x-intercept of (-0.5,0), y-intercept of (0,-0.2) vertical asymptote x=5, and horizontal asymptote y=2. How to find equation for the rational function with the features.
If the weight hanging on the string of length 4 feet swings through 7o on either side of vertical, how long is arc through which weight moves from one high point to other high point?
What condition should be met for the equation to called the function? Which of the given is the x-intercept of function y=5(x-6)(x+6)(x-3)(x+3)?
One second later, car was observed at point C at the angle of 10.3°. Determine speed of car in miles per hour. Compute distance BC.
The open bow is to be made from the 6 by 8 in rectangular sheet of tin by cutting out squares of similar size at each corner, then folding up resulting flaps.
For every $1 you increase in price you expect to lose 1000 subscribers. How much must you charge to maximize the annual revenue? Determine the maximum revenue?
The company's sales are seasonal with peak in mid-December and lowest point in mid-June. Company makes $100,000 in sales in December, and only $20,000 in June.
Assume that the circle passes through vertex and x-intercept s of the parabola y= x^2 - 2bx, where b>0. Illustrate that circumference of circle as the function of b is C=πb^2 + π.
On way back, wind is still blowing at same speed, so return trip only takes 1hr and 12 mins. Determine speed in still air, and how fast is wind blowing?
Determine the equation of curve that results by translating graph of f(x) x^2, 5 units to right and 3 units down, shrunk horizontally by 1/3 and elongated vertically by 2 times.
Determine maximum value of function, f(x) = -2x^2 + 2x -5 . Also compute equation of line passing through points of intersection of the curve and g(x) = x^2 + 3x +2 , if possible.
The velocity of the stone dropped from the balloon is 32ft per second, where t is time in seconds after release. How far stone travels in first 10 seconds?
On Novermber 27, 1993, New York times reported that wildlife biologists have discovered the direct link between increase in human population in florida and reduction of local black bear population.
Write equation of tangent line at point of tangency indicated. Write any point(s) where there is change in concavity of function.
The rancher has 288 feet of fencing to enclose two adjacent retangular corrals. What dimensions will make largest total area? Determine maximum total area?
Assume the cost benefit model is provided by f(x)=6.9x/(100-x), where y is cost in thousands of dollars for removing x percent of the given pollutant. Determine cost of removing 35% to nearest dolla
The 17 cm by 21 cm retangular garden is to have the gravel path of uniform width bordering it. How wide is path if total area covered by garden and path is 525cm^2.
For what value of x will area of cross section be maximum (and maximize amount of water that th gutter will hold)? If essential round to two decimal places.