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The principle P that an individual invests will have a return of amount A at 5.5% interest. This is modeled by the function A(t) = Pe0.055t where the time t is measured in years. If $2500 is invested, how long will it take to realize a return amount of $15,000?
A rancher has 272 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce the largest total area?
a driver who has a speed of r mph for t hr will travel a distance of d mi given by d = rt mi. How far will driver travel a speed of 61 mph for 6 hr?
FInd the midpoint of the segment with the end points
Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
A montly cost of a long distance phone plan in dollars is a linear function of the total calling time in minutes. When graphed the funtion gives a line with a slope of 0.13.
Explain how the aggregate expenditure function shifts in response to changes in each of the following variables:
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
Compare and contrast permutations and distinguishable permutations. Provide a formula for each and state the fundamental counting principle and explain it in your own words.
ticle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
Determine how much they must invest today at 10.4% compunded at semiannually to accomplish their goal.
What price should the company charge in order to maximize total revenue? What is the maximum revenue?
Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)
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