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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.
The signal light on the ship is the spotlight with parallel reflected light rays. Determine equation of parabola using axis (right positive) and vertex at origin
True or false? Provide proofs, arguments, or instances. If f'(a) = 0 and f"(a) = 0, f doesn't have the minimum or maximum at a. The differential equation N'(t) = 1/N(t) explains the growing population
You wish to make the closed box has the square base with side x and height h, and the volume of 8 cubic feet. Determine values of x and h which minimize surface area. Use second derivative test.
In 2008, median price of the compact car was $16,800. Rate of increase is supposed to be 4% per year. What we can expect price of such car be in 2010?
Given function y = A cos ( Bx plus minus C) + D, amplitude is | A |, period is 2 Π/B, phase shift ( horizontal) is C / B and vertical shift is D. Determine horizontal shift of function. y = 3 + 2 c
When price reduced to $9, average attendance rose to 31,000. Suppose that attendance is linearly connected to ticket price, find ticket price that would maximize revenue?
Amount invested at 6% is 3000 less than amount invested at 5%. Determine amount invested at every rate. Setup suitable system and solve.
Express volume of box, V, in cubic inches, as the function of length of side of te square cut from each corner, x, in inches. Determine the domain of V.
Every time heart beats, blood pressure first rises and then reduces as heart rests between beats. Compute blood pressure reading. How does compare to normal blood pressure?
Consider \(f(x)=3-3x/x^2-4x\). Calculate the asymptote(s) of f. Make the sign table to compute where f is positive and where f is negative.
For each of given three cases, determine angles of refraction, compute refractive indices, and briefly explain direction of D vectors for o and e waves inside the crystal.
Round estimated answers in radians to four decimal places and estimated answers in degrees to nearest tenth. Write answers utilizing least possible non-negative angle measures.
Populations P (in thousands) of the certain city from 2000 through 2007 can be modeled by P = 346.6ekt. Utilize model to determine populations of the city in 2010 and 2015.