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Company "Rich" pays $2 in dividends annually and estimates that they will pay the dividends indefinitely. How much are investors willing to pay for the dividend with a required rate of return of 5%?


Let's say Bob invests $1,000 for five years with an interest rate of 10%. The future value would be?


If you deposit $6500 into an account paying 8% annual interest compounded monthly, how much money will be in account after 7 years?


A light hangs in 15 feet directly above a straight walk on which a man is 6 feet tall is walking. How fast is the end of the man's shadow travelling when he is walking away from the light at the rate of 3 miles per hour?

At 200C, there is a gap d = 0.2 mm between the lower end

of the bronze bar and the rigid slab supported by two

steel bars as shown. Neglecting the mass of the slab,

determine the stress in each rod when the temperature

assembly is increased to 1000C.


Given: A steel rod (A= 150 mm2) is stretched between

two fixed points with a tensile load of 5000 N at 200C.

a.) What will be the stress at -200C?

b.) At what temperature will the stress be zero?

Assume α = 11 .7 μm/m0C, and E = 200 Gpa


An open tube is attached to a tank as shown. If the water rises to a height of 800mm in the tube, what are the pressure a and b of the air above water? Neglect capillary effects in the tube

A solid steel bar of diameter d1 = 25.0 mm is enclosed by a steel tube of outer diameter d3 = 37.5 mm and inner diameter d2 = 30.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has a length L = 550 mm, is twisted by a torque T = 400 N-m acting on the end plate.


(a) Determine the maximum shear stresses Ƭ1 and Ƭ2 in the bar and tube, respectively.


(b) Determine the angle of rotation ϕ (in degrees) of


the end plate, assuming that the shear modulus of


the steel is G = 80 GPa.


(c) Determine the torsional stiffness kT of the


composite bar.

If the kinematic viscosity of water at S.TP is 1:0038 x 10 m²/a and the mass density is 998.23 kg/m³, calculate its absolute viscosity

If the kinematic viscosity of water at S.TP is 1:0038 x 10 m²/a and the mass density is 998.23 kg/m³, calculate its absolute viscosity

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