The income statement for Piura Merchandising Corporation is as follows: Piura Merchandising Corporation Income Statement For the Year Ended December 31, 20X1 Sales $ 1,500,000 Cost of goods sold Beginning inventory $ 400,000 Purchases 800,000 Ending inventory (200,000) (1,000,000) Depreciation expense (100,000) Amortization of patent (20,000) Wages expense (80,000) Insurance expense (40,000) Income before taxes $ 260,000 Income taxes (all current) (104,000) Net income $ 156,000 Other information is as follows: A. Accounts payable decreased by $20,000 during the year. B. Accounts receivable increased by $20,000. C. All wages were paid at the beginning of the year; at the end of the year, wages payable had a balance of $12,000. D. Prepaid insurance increased by $24,000 during the year.

Use the profile illustrated for problem (1). assume that the layer of silty sand fill (sm) is placed over the entire site. estimate the thickness of the fill (h - in feet) that will cause the effective vertical stress at the center of the clay layer to increase by 517.5 pounds per square foot.

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

Mechanical energy is when the amount of kinetic and potential energies added together remains the same. conserved created lost