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Alexis borrows $10,000 today and promises to pay it back in equal monthly installments of $250. If the agreed loan interest rate is 6% compounded monthly, how long (how many monthly payments) will it take Alexis to pay off the loan and accrued interest completely (to a zero balance)? Use linear interpolation as necessary to get as close an answer as possible.
Find an equation that expresses the relationship between the wages earned (x) and the Social Security taxes paid (y) by an employee who earns less than the maximum taxable wage base.
A vertical triangular orifice in the wall of a reservoir has a base 0.9m long,0.6m below its vertex and 1.2 m below the water surface. determine the theoretical discharge?
The officer believes the driver is intoxicated and begins accelerating uniformly to 50 mi/h in 8 seconds and maintains a constant velocity of 60 mi/hr, overtakes the motorist 42 seconds after he passed the officer.
A moist soil sample weighing 22.2 N has a moisture content of 20%. How man N of water must be added to the sample to increase the moisture content to 30%
Calculate the metric tons of gravel required to fill an excavated area 70 meters by 50 meters by 2 meters deep if the gravel has a density of 1890 kg/(m^3).
The specification for a particular application calls for the blocks to have a mean compressive strength greater than 1350 kPa. A sample of 100 blocks is produced and tested.
A balloon is being inflated at the rate of 15m^3/min. At what rate is the diameter increasing after 5 min? Assume that the diameter is zero at time zero.
A rectangular channel carries a flow of 10 cfs/ft of width. Plot a curve of specific energy vs depth. Compute the minimum value of specific energy and the critical depth. What are the alternative depths for Es = 5.0
The allowable shearing stress is 15 ksi in the steel rod AB and 8 ksi in the brass rod BC. Knowing that the torque of magnitude T=10 kip * in. is applied at A, determine the required diameter of a) rod AB, b) rod BC.
A drunk driver in a 2200kg car plows into a 2100kg parked car with its brake set. Police measurements show that the two cars skid together a distance of 28m before stopping.
Determine the shear stress in a 25 × 50 cm rectangular section if the shear force is 20 KN and torsional moment is 10 KN m at service loads. Assume M20 mix and 0.75% tension reinforcement at an effective cover of 50 mm.
Determine the deflection of a simple uniformly loaded beam by the Ritz method,using first one term, then two terms, adn finally three terms in a sine series. Why does the coefficient of sin2piex/L vanish?
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