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The solid circular shaft has the diameter of 6mm and the length of 350 mm. It is made from nylon 66 plastic and subjected to the steady tensile load of 370 N.
Bank pays the interest rate of 10% compounded annually, and deposit is now worth $30,052. For how many years has deposit been invested?
The salt-water solution, that has 5% salt and 95% water, is pumped into tank at the rate of 3 gallons per minute. Determine concentration of salt be (as percent) after ten minutes?
If spring starts at its equilibrium position, but the push provides it the initial velocity of 2 ft/sec, determine position of mass after t seconds.
20 like both broccoli and cauliflower and 15 of the students like all three vegetables. How many of the 278 college students don't like any of the 3 vegetables?
Create the truth table to illustrate that expression (p --> Q) V (~q ^p) is a tautologies. Create the truth table to illustrate that expression (r--> Q) --> p and (r V p) ^ (q --> p) and a
This is only dividend to be paid in coming year. A 1-year 200-strike call option on stock has the price of 4. Determine 180-strike put option price?
It is evalauted that annual sales of the new product will be 2,000 first year and increase by 1,000 per year until 5,000 are sold during 4th year.
Write each of the given in symbolic notation (ensure to give dictionary for each) and find whether argument is valid using the truth table.
Variable costs will equal 40% of sales, while operating fixed costs will total $110,000. At what price should every widget be sold for company to get the EBIT of $120,000?
If vendor charges 12.5%, compounded semi-annually, and mortgage is to be repaid over 20 years, determine required monthly payment.
Annual operations and maintenance after completion is evaluated to be $40 million, payable at the end of year and with 5% annual increase thereafter.
How fast was plane traveling (in meters/sec) on lift off? Model and solve using differential equations. Illustrate all differential equations and work.
The sky diver equipped with parachute falls from rest towards earth. Total weight of man and equipment is 160 lbs. Determine velocity of skydiver before parachute opens.
How many different parade orders can you make? Suppose that all funny cars are evident from each other, which is sort of their point.
In Numbers Game, state lottery, 4 numbers are drawn with replacement from the urn having balls numbered 0-9, inclusive. Determine probability that ticket holder has indicated winning ticket.
5 different written driving tests are handled by Motor Vehicle Department. One of these 5 tests is chosen at random for every applicant for the driver's license.
Suppose the probability of the boy being born is same as probability of the girl being born. Determine probability that family with 5 children will have girls as two oldest children.
Why might it be worth for the non-mathematician, non-engineer to have the appreciation and/or working understanding of higher level mathematics, even if computations will not part of daily routine.
Fringe benefits are $10.18 per employee for life insurance and 12.3% of payroll for a stock purchase plan. Determine total cost of fringe benefits?
Weekly payroll of Abkar Hardware comprises 19 employees who earn $280. How much is employer's share of total social security and Medicare taxes for first quarter of year?
Company evaluates that sales will increase by $48,000 during coming year due to increased demand. How much must net operating income increase?
Solve equation (1) with initial condition v(0) = 0. Determine limit of the solution when t is approaching infinity? How limiting velocity is related to answer in item (a)?
Sketch the graph to represent connections within the company, based on email data, where every vertex represents the person and the edge joining 2 vertices.
Determine position of mass at any time t if there is no external force and no air resistance. Find circular frequency, natural frequency and period for vibrations.