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An investor has $45,000 to invest in a CD and a mutual fund. The CD yields 4% and the mutual fund yields on average 5%. The mutual fund requires a minimum investment of $10,000 and the investor wants at least twice as much money invested in the CD as in the mutual fund. How much should be invested in the CD and how much in the mutual fund to maximize the return? What is the maximum return?
Find the area under the standard normal curve to the right of z = 1.65. Round to four decimal places
If the sun is 55 above the horizon, find the length of the shadow cast by a building 86 ft tall. round your answer to the nearest tenth.
Determine the constant rate of change and what is the change in y (i.e. Δy )that corresponds with Δx found in part (b)?
$52,000 is invested in an account at interest rate r = 5.1%, compounded continuously. Find the time required for the amount to double. (Approximate the result to two decimal places.)
Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 ponds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pound..
A car is driven 115 km west and then 60 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?
Find the curvature of the curve r(t) = 3 sin (2t)j + 3 cos (2t)j at (0, 3). Find the arc length of r(t) = 3 sin (2t)i + 3 cos (2t)j + 8tk. between t = 0 and t = π.
you have 240 feet of fencing to form two adjacent rectangular corrals. each coral has an area of 1000 square feet, find the possible dimensions of each corral.
Construction A bu ildi ng foundation has a length of 82 ft and a perimeter of 292 ft. What is the width? (H int: Peri meter = 2 X length + 2 X width.)
Using the tables, find the Laplace Transforms: (a) f(t) = 2 -t^3/6+ cos(2t) - e^(3t)
explain how to factor the following trinomial forms x2 bx c and ax2 bx c. is there more than one way to factor
Algorithm AnalysisA unimodal sequence is a sequence for which there exists a t such that strictly increases and then strictly decreases, where the subscript calculations are performed modulo n. That is, if the sequence is rotated to the lef..
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