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Write the equation of line passing through (-3,1) and parallel to line whose equation is y=2x+1. State equation in point slope form and slope intercept form.
The local computer store is having the terrific sale on digital camera. After the 40% price reduction, you buy the digital camera for $276. Determine camera's price before reduction?
In 1995, populatoion of the country was evaluated at 4 million. For any subsequent year population P(t)= 240/5+54.99e-0.0208t where t is number of years since 1995. Determine the population in 2008
For every $2 price is increased, 100 less copies are sold and every $2 price is lowered, 100 more copies are sold. Use the equation to find maximum revenue.
Average maximum and minimum temperatures of 2 cities are provided below. For every location, provide the sine wave equation.
Needle of scale in bulk food section of the supermarket is 26cm long. Determine distance tip of needle travels when it rotates 64 degrees.
Convert to the rectangular equation curve provided by parametric equations by eliminating parameter. Find the graph. For what values of parameter t is graph in first quadrant?
The communications company erects the 83 foot tall cellular telephone tower on level ground. Find an angle of depression, (in degrees), from top of tower to the point 45 feet from base of tower.
Consider S = {0,2,4,6}, T = {1,3,5,7}, U = {6,7,8,9,10} and functions f = {(0,1),(2,3),(4,3),(6,7)} mapping S to T, and function g = { (1,6), (3,6), (5,9), (7,10)} mapping T to U. Write ordered pair
He has set up his transit on one side of lake 130 feet from piling which is directly across from the pier on other side of lake. From the transit, angle between piling and pier is 30 degrees. Find d
Find distance to rocket from telescope B at moment when both tracking stations are directly east of rocket telescope. A reports the given angle of elevation of 20 degrees.
The person is pulling the freight cart with the force of 46 pounds. How much work is done in moving cart 30 feet if cart's handle creates the angle of 28 degrees with ground?
The right triangle is formed in first quadrant by x- and y-axes and the line through point (2,1). Write area A of triangle as the function of x, and find domain of function.
Transit Authority runs the subway from city to suburbs. Fare is $3.00, number of passengers which will travel each day is 6000. Write the equation for q in terms of p.
The producer of CD player has found that revenue R (in dollars) is R(p)=-5p2+1580p, when unit price is p dollars. If manufacturer sets price p to maximize revenue, find maximum revenue to nearest w
In 1968, U.S. minimum wage was $1.60 per hour. In 1976, minimum wage was $2.30 per hour. Find the linear model l(x) and the exponential model p(x) for population of Pinedale in year 1990+x.
Use information given about theta, 0 less than or equal to theta less than or equal to 2pi, to determine exact value of indicated trigonometric function - sin(theta) = 1/4, tan(theta) greater than z
What is the function which has no real zeros, does have asymptote, but is not rational function according to definition of the rational function?
There are presently 50 million cars in the certain country, reducing by 1.8% annually. How many years it will take for the country to have 27 million cars?
Compute distance between two cars at 4pm to nearest hundredth of a mile. Incorporate two strategies to solve this problem.
Let conic section provided by equation. Asymptote of positive equation has equation y? Asymptote of negative equation has equation y.
Business advisors told owner he could anticipate to see four more rooms rented out for every 2$ decrease in room rate. Find best rate for him to charge in to take in most money every night, and find
Assume that for dose of 10 milligrams, amount A(t) remaining in body t hours later is provided by A(t)=10(0.8)t and that for drug to be effective, at least 2 milligrams should be in body. Find when
Assume also that, after two and half years, amount of money in account is given $1401. Compute interest rate per year. Write the answer as percentage.
The state trooper is hidden 30 feet away from the highway. 1 second after the truck passes, angle between highway and line of observation from patrol car to truck estimates 15 degrees. How fast is t