Solve the problem. (4 pts)Find (f-g)(-5) when f(x) = -8x + 3 and g(x) = x2 – 5x + 3.

If a one-time amount of $500 is invested at an annual interest rate of 8% (compounded annually), find its future worth at the end of 30 years. Note that answers are rounded to the nearest dollar. 

Which of the following is an example of commonly applied measure of worth? 

Rewrite the following problems as a limerick but do not solve them. A polymer beam of length L = 70 mm and a = 24 mm supports a load of P = 2.7 N at both ends. The beam has cross-sectional dimensions b = 2.0 mm and h = 7.5 mm. Determine the magnitude of the maximum horizontal shear stress in the beam.

Rewrite the following problems as a chiasm but do not describe the solutions. The internal shear force V at a certain section of an aluminum beam is 17 kN. The beam’s centroid is located 54.40 mm above the bottom surface of the beam, and the moment of inertia is Iz = 398,300 mm4. Determine the shear stress at point H, which is located 30 mm above the bottom surface of the beam.

Use the following problems in a poem but do not explain the answers. A concentrated load of P = 35 kN is applied to the upper end of a 2-m-long pipe as shown. The outside diameter of the pipe is D = 330 mm and the inside diameter is d = 300 mm. Determine the magnitude of the maximum vertical shear stress in the pipe.

Use the following problems in a poem but do not explain the answers. A concentrated load of P = 30 kN is applied to the upper end of a 3-m-long pipe as shown. The outside diameter of the pipe is D = 330 mm and the inside diameter is d = 300 mm. Determine the magnitude of the maximum vertical shear stress in the pipe.

Which of the following surprises are diversifiable?

Which of the following surprises are systematic?

Determine algebraically whether the function is even, odd, or neither. (2 pts)f(x) = -9×2 + 12x + 8