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Suppose the exponential population model of form p = a(b^t), in what calendar year will population reduce(according to model) to 500? Rhino horns sell for about $45,000 per pound.
How many years t after 2000 (that is, relative year t=0 corresponds to calendar year 2000), are net incomes equal? Find out time t to two decimal places. For both use exponential function form f(t)=
Assume the population has exponential growth modeled by function p = a(b^t), where t is in years. Find out explicit model for the scenario, find out values for a and b.
Let the function y=f(x)=A+(B)(C^x ), 0 < C 1, 1, whose graph passes through points (x,y) = (0,1) and (x,y) = (1,10) and is asymptotic to horizontal line y = 20 as x approaches infinity. Find the
Currently, how fast should he be raising price per shirt to achieve this? Suppose that changing price does npt affect his sales.
The particle is moving along the straight-line path in such a way that distance (in feet) from the fixed reference point at time t seconds is provided. Determine suitable value of a so that particle
Determine Present Value P0 of amount P due t years in future and invested at interest rate k, compounded continuously. P = 9000, t = 22 yr, k = 2%.
Determine (a) equilibrium point, (b) consumer surplus at equilibrium point, and (c) producer surplus at equilibrium point. D(x) = (x-3)^2, S(x) = x^2 + 2x + 1.
The surveyor wants to determine distance between two inaccessible points A&B on opposite side of lake while standing at point C. Determine the distance AB?
The bicyclist accelerates at the steady rate from the standstill to 20 km/hr in 45 sec. a) How fast is bicyclist traveling after 35 sec?
Determine the area under graph of f(x) = 0.05x^4 - 3.61x^2 + 97 over interval [5,9] by dividing interval into 4 subintervals.
Tree standing vertically on level ground casts the 125 foot long shadow. Angle of elevation from end of shadow to the top of tree is18.6°. How far away from base of tower does wire hit ground?
The capitalized cost, c, of the asset over its lifetime is total of initial cost and present value of all maintenance which will occur in future. Determine capitalized cost under given set of assump
If demand continues to grow at given rate, and no new reserves of natural gas are found, in what year will world reserves of resource be depleted? World reserves depleted in year.
The radioactive chemical has the decay rate of approximately 5% per year. How much of chemical will remain in atmosphere after 15 yr? Amount of chemical remaining in atmosphere is lbs.
If cos(t)=-911 where Π<t<3Π/2, determine the values of given trigonometric functions. Don't use decimals. Write answers in terms of sqrt.
If fan makes less than one full rotation, find distance bug has traveled along its arc from 3 o'clock position when its final position is 1.5 ft below horizontal diameter of fan for second time.
The baseball diamond is the square with side 90 ft. Player is running from third base to home at 22 ft/s. How fast is the distance from second base increasing if she is 75 feet from third base?
I was one-tenth of the mile from intersection, while she was seven-twentieths of the mile from it. How fast were we heading toeard each other at that instant?
Write down the equation of graph in it's final position. Graph of y= ex is translated three units to left, and then one unit upward
Graph of y= cos (x) is vertically stretched by the factor of 11, shifted the distance of 2 units to left, and translated 1 units downward. Determine the formula for function whose graph is resulting
Determine the equation of the sine wave which is obtained by shifting graph of y=sin(x) to right 9 units and downward 8 units and is vertically stretched by the factor of 2 when compared to y=sin(x
Determine (modeled) probability of each event, suppose that coins (or dice) are apparent and fair, and that what is seen are faces uppermost.
Determine the point of intersection between line you have graphed and line g(x)=1+cx, answer will be point in xy plane whose coordinates involve unknown c.
Utilize Law of Sines to solve for possible triangles which satisfy provided conditions. If the answer doesn't exist, enter DNE.