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an investment of $12000 is deposited into two simple interest accounts. On one account, the annual simple interest rate is 7.8%. On the other, the annual simple interest rate is 9%. The total interest earned for one year is $1020. How much was invested in each account?
If the volume of the smaller sphere is 16 in3, what is the volume of the larger sphere?
customer from Cavallaro's Fruit Stand picks a sample of 4 oranges at random from a crate containing 65 oranges, of which 5 are rotten. What is the probability that the sample contains 1 or more rotten oranges.
a rectangular sheet of paper of area a = 170 sq cm is rolled into a right circular cylinder by joining opposite ends of the paper. If this produces a cylinder having volume V = 300cm, determine the radius r of the cylinder.
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Show that the resulting motion is simple harmonic, and determine the circular frequency and period of the motion.
Starting with a hyperplane that does not separate the points, use the perceptron algorithm to find a separating hyperplane. Did the algorithm find the maximum margin separating hyperplane.
Find the rate at which water is draining from the tank after the following amounts of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)
Using GEOMETRY ONLY, for an equilateral triangular region, for which points is the sum of the distances to the sides of the triangle minimal? Please show me and do not point to a web site.
What is the probability that a randomly selected helproom client received help with Stat given that s/he is majoring in Business?
Find an expression for the time he will take to get from A to B, in terms of theta.
Illustrate each of them with examples. Determine whether the following vectors in R3(R) are linearly dependent or linearly independent.
Jackie, a 25 year old client, want to retire by age 65 with $2,000,000. How much would she have to invest annually, assuming a 6% rate of return?
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