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Question: Write a differential equation for the balance B in an investment fund with time, t, measured in years.
The balance is losing value at a continuous rate of 8% per year, and money is being added to the fund at a continuous rate of $2000 per year.
Formulate and solve a linear programming model for Sam that will help you to advise him if he should lease the booth.
Plot the log of diameter against the log of the speed. Find the best-fitting line using least squares regression on the log-transformed data.
A flare is shot up from the top of a tower. Distances above the flare gun are positive and those below it are negative.
If you were to run a regression with dog weight as the dependent variable, choose an appropriate set of independent variables and report your proposed regression equation. How would you judge the effectiveness of your regression model
The distance, D, in miles, that you can drive on $1 worth of gas as a function of the cost, g, in dollars, of a gallon of gas can be modeled by the power function: D(g) = 22.02g^-1.02
To maintain high quality, the total number of rackets produced should not exceed 80 per day. How many of each type should be manufactured daily to maximize the profit?
How many different ways are there for an admissions officer to select a group of 5 college candidates from a group of 9 applicants for an interview?
SAVINGS ACCOUNTS The Pirerras are planning to go to Europe 3 yr from now and have agreed to set aside $150/month for their trip.
a rancher has 450 ft. of fencing with which to enclose two corrals. The rancher wishes to contruct two corrals next to each other.
Find the area S of the region bounded by the parabola y = 3x2, the tangent line to this parabola at (4, 48), and the x-axis.
What is the overhead cost in the algorithm? In particular, does either the time or the number of q-bits overhead grow more than polynomially in the problem size?
Consider a rectangular box of volume 100 cubic centimters. Suppose that the base is a rectangle with sides x centimeters and 2x centimeters. Let hx give the height of the box in centimeters and let Ax be the total area of the six sides of the box.
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