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Ohio Turnpike is 241 miles in length and has service plazas situated 75 and 160 miles from Eastgate, entrance to turnpike at Pennsylvania line.
Cost "C" (in dollars) of manufacturing "x" chairs at Ashley's Furniture Factory is provided by function C(x) = 0.1x^2 - 52x + 13,525. How many chairs should be made to minimize cost?
The architect wishes to design the window with the area of 24 square feet in shape of the rectangle with semicircle on top. If "x" is width of window, state perimeter "P" as the function of "x".
The store decreases its prices before the sale and then returns prices to their previous levels when sale is over. If sale was 20% discount, by what percent are decreased prices raised after sale?
For the certain kind of tree diameter D (in feet) depends on tree's age t( in years) according to logistc growth model:
How many fish were really put in pond? Determine fish population after 10, 20, and 30 years and round to nearest whole number.
Write an equation of the function which is equidistant from point (2, 5) and line x = -1. Write an equation of the curve which is locus of points equidistant from point (-2, 4).
Every muffin costs $2 to make. If she sells every muffin at $4. How many muffins should she sell before turning the profit?
A ferris wheel is 100 feet in diameter and creates 1 revolution in 45 seconds. If rider requires to walk up the ramp to get to the seat which is 5 feet above ground, write model for the rider.
Determine equation of the rational function which passes through (3,3), has y=x-2 as the oblique asymptote, and has x=-5 as its only vertical asymptote.
Points on terminal sides of angles play the significant part in design of arms for robots. If robot's hand is situated at (10, 0) and then rotates through the angle of -120° find new location of t
Determine the inverse of function below. Graph function below and inverse function. Compute domain, range, and asymptotes of function below and inverse function.
Determine (a) the equation of the line which is parallel to provided line and includes given point, and (b) equation of the line which is perpendicular to line through given point.
For the small manufacturing firm, unit cost C(x) in dollars of making x units per day is provided by. How many items must be produced per day to minimize unit cost?
Your friend is saving money for the car. D is deposit he made into the savings account m months after starting to save. Describe the friend's savings plan if D and m are associated as D=g(m)=5*2^m.
The small pipe is placed against the wall. There is the point on edge of which that is both 5 in. from ground and 10 in. from the wall. compute two possibilities for radius of pipe.
She evaluates that for every extra tree planted per acre, yield of each tree will decrease by 3 bushels. How many trees must she plant per acre to maximize harvest?
You have 240 feet of fence to construct the rectangular enclosure that is divided with fencing by 2 interior sections parallel to sides.
Let x be distance (in miles) from connection box to point where cable installation turns off road. Write the equation for cost of installation as the function of x. Determine the domain of the funct
On an inpulse, he makes decision to even up piles a little by removing 280 of bad reviews, and this leaves him with the total of 400 reviews of all types. How many reviews were generally in each cat
The density of lead is 11.34 g/cm3 and density of aluminum is 2.69 g/cm3. Determine radius of lead and aluminum spheres all having the mass of 50kg.
The athletic field with the perimeter of 1/4 mile comprises of the rectangle with the semicircle at each end. Compute dimensions x and r which yield greatest possible area for rectangular region.
If she could increase the average speed by 1 km/hr, it would decrease her time around loop by 6 minutes. How many kilometers long is loop?
Compare speed of Mrs. H's remote control car to that of the regular car traveling on freeway. Determine the solution.
1 certificate pays 6% interest and other pays 4.5% interest annually. If Carey's total interest is= $5025 per year, find how much money is invested at each rate?