Average of the numbers
Let X = {x1, x2,...,xn} be set of n real numbers. Let A be average of the numbers in X.
Prove that at least one of the xi in X is greater than or equal to A.
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An engineer decides to locate aside money in a 529 Plan for his newborn's college education. He calculates that the child's needs will be $48,000 on her 18th, 19th, 20th, and 21st birthdays.
For a vehicle in gravitationless space, find out the mass ratio necessary to boost the vehicle velocity by 1600 m/s? The effective exhaust velocity is 2000m/s. Also, if the total vehicle mass is 4000kg, what is the corresponding propellant mass?
Find out the burnout velocity and burnout altitude for dragless projectile with the following parameters for simplified vertical trajectory:
At the regional horse race, 7 male horses compete in 1/4 mile race and 6 female horses compete in separate 1/2 mile race. How many different arrangements are possible for a first-, second-, and third-place male horse and first- and second-place f
Let X = {x1, x2,...,xn} be set of n real numbers. Let A be average of the numbers in X. Prove that at least one of the xi in X is greater than or equal to A.
Suppose that employees are forced to retire after the 45 years and have an annual MRPL of $15,000. Would the existing earnings structure and length of work life be consistent with the firm's profit-maximizing behavior?
If the market goes down today, it has a 20% of going up tomorrow, a 20% chance of being unchanged, and a 60% chance of going down. Calculate the stable distribution for the stock market.
Assume that you can work up to 24 hours per day at a wage of $1 per hour (with the remaining hours for leisure) and you are subject to a tax of 50% on all income over $5 per day (the first $5 per day is untaxed).
A 5 kilogram (Kg) object stretches spring 0.6125 centimeters (cm) in equilibrium. If air resistance is negligible and the object is subjected to the periodic external force of Fe = 400sin(40t) Newtons or Kg•m/sec^2
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